Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze378.0ms (1.7%)

Memory

-11.2MiB live, 561.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	4
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	5
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	6
15.4%	12.5%	68.6%	0.2%	0%	18.7%	0%	7
16.7%	12.5%	62.3%	0.2%	0%	24.9%	0%	8
20%	14%	56.1%	0.2%	0%	29.6%	0%	9
20%	14%	56.1%	0.2%	0%	29.6%	0%	10
20%	14%	56.1%	0.2%	0%	29.6%	0%	11
22.9%	14.8%	49.9%	0.2%	0%	35.1%	0%	12

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.6s (25.4%)

Memory

16.3MiB live, 6 935.2MiB allocated

Samples

2.3s	12 976×	0	invalid
2.0s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-mult: 1.1s (32.4% of total)

ival-div: 943.0ms (27.6% of total)

ival-pow: 632.0ms (18.5% of total)

ival-pow2: 569.0ms (16.7% of total)

ival-sub: 118.0ms (3.5% of total)

exact: 21.0ms (0.6% of total)

ival-true: 17.0ms (0.5% of total)

ival-assert: 9.0ms (0.3% of total)

Bogosity

explain373.0ms (1.7%)

Memory

-1.5MiB live, 670.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
65	0	-	1	(2.2814876466336477e-296 3.372454394755862e-304 1.2725700585670226e+25 1.1375667221243445e-130 2.8420888891418017e+206)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
61	0	-	5	(1.9704493182590212e-191 2.2567588716201e+129 8.825140465172895e-42 4.147371827603022e-84 -2.1185431743492053e+248)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
37	0	-	3	(-2.758375864498089e-269 -1.3632206090743197e-284 -3.097479238178821e+35 3.35785265781023e-167 7.084276316256727e-74)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
30	0	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
29	1	(1.699060250919454e-92 5.550155534986443e+39 3.1800435941166755e-246 -9.855076498823812e-204 1.2576759696230013e-212)	2	(-6.768308882980656e-193 -1.527674561704679e-33 -3.7079040230686255e-86 5.9497180031840755e-96 -2.1650135843405187e-218)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	0	-	0	-	`D`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	0	-	0	-	`(/.f64 h l)`
0	0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	0	-	0	-	`d`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 d l)`
0	0	-	0	-	`(*.f64 M D)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	0	-	`(/.f64 d h)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`l`
0	0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	0	-	0	-	`M`
0	0	-	0	-	`h`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	34	0
↳	`(/.f64 d l)`	overflow	34
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	31	0
↳	`(/.f64 d h)`	overflow	31
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	30	0
↳	`(/.f64 d l)`	underflow	30
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	25	0
↳	`(/.f64 d h)`	underflow	25
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	14	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	14	0
↳	`(*.f64 M D)`	overflow	34
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	12	0
↳	`(/.f64 d h)`	underflow	25
↳	`(/.f64 d l)`	underflow	30
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	20
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	86
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	86
↳	`(/.f64 h l)`	overflow	22
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	84
↳	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	overflow	84
↳	`(*.f64 M D)`	overflow	34
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	44
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	10	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	4	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	86
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	86
↳	`(*.f64 M D)`	overflow	34
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	44
↳	`(/.f64 h l)`	underflow	19
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	76
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	76
↳	`(*.f64 M D)`	underflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	39
↳	`(/.f64 h l)`	overflow	22

Confusion

	Predicted +	Predicted -
+	69	3
-	44	140

Precision

0.6106194690265486

Recall

0.9583333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	3
-	44	0	140

Precision?

0.6106194690265486

Recall?

0.9583333333333334

Freqs

test

number	freq
0	143
1	66
2	30
3	16
4	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

126.0ms

512×

valid

Compiler

Compiled 352 to 70 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-sub: 23.0ms (25.4% of total)

ival-pow: 21.0ms (23.2% of total)

ival-mult: 20.0ms (22.1% of total)

ival-div: 19.0ms (21% of total)

ival-pow2: 5.0ms (5.5% of total)

ival-true: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

preprocess250.0ms (1.1%)

Memory

3.0MiB live, 315.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 600×	`lower-*.f32`
6 588×	`lower-*.f64`
3 422×	`lower-/.f32`
3 414×	`lower-/.f64`
2 244×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	1960	548
3	4611	548
0	22	29
0	38	27
1	67	27
2	174	27
3	1054	27
4	3441	27
5	6724	27
0	8027	26

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Outputs

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))))

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 40 to 22 computations (45% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

72.8%

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Compiler

Compiled 40 to 22 computations (45% saved)

simplify158.0ms (0.7%)

Memory

38.4MiB live, 265.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

6 600×	`lower-*.f32`
6 588×	`lower-*.f64`
3 422×	`lower-/.f32`
3 414×	`lower-/.f64`
2 244×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	174	126
3	1054	126
4	3441	126
5	6724	126
0	8027	124

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

Outputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 h #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(fma.f64 (.f64 h #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (.f64 h #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (.f64 d d)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 #s(literal 4 binary64) (.f64 d d))))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 #s(literal 4 binary64) (*.f64 d d)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 h l)

localize84.0ms (0.4%)

Memory

-35.2MiB live, 140.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	7.249099648599269	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	8.297647190872045	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	13.8500977047789	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.288779890843905	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

61.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 10.0ms (25.9% of total)

ival-pow: 10.0ms (25.9% of total)

ival-div: 9.0ms (23.3% of total)

ival-pow2: 8.0ms (20.7% of total)

ival-sub: 1.0ms (2.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series59.0ms (0.3%)

Memory

-11.3MiB live, 101.8MiB allocated

Counts

6 → 204

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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Calls

51 calls:

Time	Variable		Point	Expression
7.0ms	l	@	inf	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
5.0ms	M	@	0	(pow (/ (* M D) (* 2 d)) 2)
2.0ms	D	@	0	(pow (/ (* M D) (* 2 d)) 2)
2.0ms	h	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
1.0ms	l	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))

simplify248.0ms (1.1%)

Memory

31.6MiB live, 366.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 660×	`lower-fma.f64`
6 660×	`lower-fma.f32`
5 620×	`lower-*.f64`
5 620×	`lower-*.f32`
3 426×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))

Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
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(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (neg.f64 d))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (neg.f64 d))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (neg.f64 d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))

rewrite343.0ms (1.6%)

Memory

-12.9MiB live, 403.6MiB allocated

Rules

7 446×	`lower-*.f32`
7 434×	`lower-*.f64`
4 352×	`lower-fma.f64`
4 352×	`lower-fma.f32`
3 368×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
0	38	60
1	124	59
2	828	59
0	8726	58

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 603

Calls

Call 1

Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 d d) h) h)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 h (neg.f64 d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 d d) h) h) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 d))
(.f64 (pow.f64 d #s(literal 1/4 binary64)) (.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 h #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 d d) l) l)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 l (neg.f64 d))))
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(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(.f64 (pow.f64 d #s(literal 1/4 binary64)) (.f64 (pow.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))))) (.f64 l l)))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))))) (.f64 l l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))

eval182.0ms (0.8%)

Memory: 8.9MiB live, 122.8MiB allocated
Compiler: Compiled 32 235 to 2 661 computations (91.7% saved)

prune281.0ms (1.3%)

Memory

-0.1MiB live, 259.5MiB allocated

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	772	37	809
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	773	37	810

Accuracy

89.9%

Counts

810 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.2%	(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	22.6%	(fma.f64 (/.f64 h l) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	26.8%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	30.4%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
	26.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	27.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	50.2%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
	51.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	32.6%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	51.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/2 binary64)) l)))
▶	65.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	53.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (neg.f64 D) (.f64 M (.f64 M D))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (neg.f64 (.f64 (*.f64 d d) #s(literal 4 binary64))))))
▶	74.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	74.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
	67.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))) (/.f64 h l))))
	71.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d (.f64 M D))))) (/.f64 h l))))
	62.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))) (/.f64 h l))))
	67.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	44.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M)))) (.f64 d (*.f64 d l))))))
	37.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	72.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	40.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	71.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	30.3%	(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
	38.4%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	51.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	21.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
▶	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
	15.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	28.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
▶	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))

Compiler

Compiled 2 770 to 1 688 computations (39.1% saved)

simplify334.0ms (1.5%)

Memory

-0.1MiB live, 151.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	384	(/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(*.f64 M D)
cost-diff	0	(.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))
cost-diff	320	(/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64)))
cost-diff	2112	(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
cost-diff	0	(sqrt.f64 (/.f64 h l))
cost-diff	0	(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))))
cost-diff	0	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 h l))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
cost-diff	0	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1088	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

8 968×	`lower-*.f32`
8 912×	`lower-*.f64`
2 294×	`lower-/.f32`
2 262×	`lower-/.f64`
1 768×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	773
0	143	725
1	298	697
2	989	663
3	5519	662
0	8176	655

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 M (.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h)
(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))))
d
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
h
l
(.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))
(.f64 D (/.f64 (.f64 D (*.f64 M M)) d))
D
(/.f64 (.f64 D (.f64 M M)) d)
(.f64 D (.f64 M M))
(*.f64 M M)
M
(.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(.f64 h (.f64 h h))
(*.f64 h h)
(.f64 l (.f64 l l))
(*.f64 l l)
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64)))
(.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))
(*.f64 M D)
M
D
(.f64 M (.f64 D #s(literal 1/2 binary64)))
(*.f64 D #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
d
#s(literal 4 binary64)
(.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(neg.f64 (/.f64 h l))
(/.f64 h l)
h
l
(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
(/.f64 (.f64 d d) (.f64 h l))
(*.f64 h l)
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)
(.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l)))
(/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d)
(.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64))
(.f64 M (.f64 D (*.f64 M D)))
M
(.f64 D (.f64 M D))
D
(*.f64 M D)
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 h l))
#s(literal 1/2 binary64)
(/.f64 h l)

Outputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/4 binary64)) d) (/.f64 (.f64 M (.f64 D h)) (.f64 d (.f64 #s(literal 2 binary64) l))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/4 binary64)) d) (/.f64 (.f64 M (.f64 D h)) (.f64 d (.f64 #s(literal 2 binary64) l))) #s(literal 1 binary64))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 (.f64 D #s(literal 1/4 binary64)) d)) D) M) h) (.f64 d (*.f64 #s(literal 2 binary64) l)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (*.f64 d l))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 M (/.f64 (.f64 D #s(literal 1/4 binary64)) d))
(.f64 M (.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M (.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 (.f64 D #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h)
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 (.f64 D #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h)
(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))))
(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 (.f64 D #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))))
d
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
h
l
(.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))
(.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 (.f64 D #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))
(.f64 D (/.f64 (.f64 D (*.f64 M M)) d))
(.f64 M (/.f64 (.f64 D (*.f64 M D)) d))
D
(/.f64 (.f64 D (.f64 M M)) d)
(/.f64 (.f64 M (.f64 M D)) d)
(.f64 D (.f64 M M))
(.f64 M (.f64 M D))
(*.f64 M M)
M
(.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(.f64 h (.f64 h h))
(*.f64 h h)
(.f64 l (.f64 l l))
(*.f64 l l)
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (fma.f64 (/.f64 h l) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d d)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) #s(literal 1/8 binary64))) (*.f64 d d))
(.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))
(.f64 D (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 M D))))
(*.f64 M D)
M
D
(.f64 M (.f64 D #s(literal 1/2 binary64)))
(*.f64 D #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (.f64 d d) #s(literal 4 binary64))
(.f64 d (.f64 d #s(literal 4 binary64)))
(*.f64 d d)
d
#s(literal 4 binary64)
(.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(neg.f64 (.f64 (/.f64 h l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l)))))
(neg.f64 (/.f64 h l))
(/.f64 h l)
h
l
(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
(/.f64 (.f64 d d) (.f64 h l))
(*.f64 h l)
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 h (.f64 d l)) (.f64 D (.f64 (/.f64 (.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))
(fma.f64 (/.f64 h (.f64 d l)) (.f64 D (.f64 (/.f64 (.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 D (.f64 M (.f64 D #s(literal 1/4 binary64)))))) h) (.f64 (.f64 d d) l))
(.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 D (.f64 M (.f64 D #s(literal 1/4 binary64)))))) h) (*.f64 d l))
(/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d)
(.f64 (.f64 (.f64 M (/.f64 (.f64 D #s(literal 1/4 binary64)) d)) D) M)
(.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64))
(.f64 M (.f64 D (.f64 M (.f64 D #s(literal 1/4 binary64)))))
(.f64 M (.f64 D (*.f64 M D)))
M
(.f64 D (.f64 M D))
D
(*.f64 M D)
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 h l))
(/.f64 (*.f64 h #s(literal 1/2 binary64)) l)
#s(literal 1/2 binary64)
(/.f64 h l)

localize555.0ms (2.5%)

Memory

-8.2MiB live, 303.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.249099648599269	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
accuracy	8.112969274288526	(.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l)))
accuracy	13.850097704778893	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.288779890843916	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	14.019731495378911	(/.f64 (.f64 d d) (.f64 h l))
accuracy	16.20079086994269	(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
accuracy	17.396564445685378	(/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64)))
accuracy	20.123232107408842	(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
accuracy	10.314955537498651	(sqrt.f64 (/.f64 h l))
accuracy	12.294778250986603	(.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))
accuracy	15.660200321637891	(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
accuracy	19.425288343674595	(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
accuracy	0.19140625	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
accuracy	0.4249210162934244	(/.f64 #s(literal 1 binary64) (*.f64 h l))
accuracy	14.575308775001181	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
accuracy	47.740147215684495	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
accuracy	6.516514188375137	(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
accuracy	7.249099648599269	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
accuracy	13.850097704778893	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.288779890843916	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

280.0ms

256×

valid

Compiler

Compiled 776 to 78 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 46.0ms (41.1% of total)

ival-div: 39.0ms (34.8% of total)

ival-pow: 11.0ms (9.8% of total)

ival-sqrt: 6.0ms (5.4% of total)

ival-sub: 3.0ms (2.7% of total)

ival-pow2: 3.0ms (2.7% of total)

ival-add: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series217.0ms (1%)

Memory

30.3MiB live, 184.6MiB allocated

Counts

26 → 1 044

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) #<representation binary64>) () ())
#s(alt (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (patch (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))))) h)) (patch #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))))) h) (patch (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))))) h) #<representation binary64>) () ())
#s(alt (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))))) (patch (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (patch (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (patch (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 M D) (patch (.f64 M D) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d) (patch (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))) (patch (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (patch (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (patch (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 d d) (.f64 h l)) (patch (/.f64 (.f64 d d) (.f64 h l)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (patch (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) (taylor inf M) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (taylor -inf M) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) (taylor -inf M) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) (taylor -inf M) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) (taylor -inf M) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) (taylor 0 D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) (taylor 0 D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) (taylor 0 D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (taylor inf D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor inf D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor inf D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor inf D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (taylor -inf D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor -inf D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor -inf D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor -inf D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d))) #<representation binary64>) () ())) ())

Calls

261 calls:

Time	Variable		Point	Expression
44.0ms	h	@	0	(/ (* d d) (* h l))
14.0ms	d	@	-inf	(* (/ (* (* M (* D (* M D))) 1/4) d) (* 1/2 (/ h l)))
11.0ms	M	@	0	(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)
7.0ms	h	@	0	(/ (/ (* M D) (* d 2)) (/ 1 h))
2.0ms	d	@	0	(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)

simplify338.0ms (1.5%)

Memory

16.2MiB live, 407.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 546×	`lower-*.f64`
5 546×	`lower-*.f32`
5 186×	`lower-fma.f64`
5 186×	`lower-fma.f32`
2 958×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	17475
1	556	16898
2	1976	16808
3	3873	16403
4	7215	16403
0	8228	16124

Stop Event

1×	iter limit
1×	node limit

Counts

1 044 → 1 044

Calls

Call 1

Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
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(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* d (sqrt (/ 1 (* h l))))
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(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
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(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
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(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))

Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
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(sqrt (/ d h))
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(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
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(sqrt (/ d h))
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(* (sqrt (/ d h)) (pow (sqrt -1) 2))
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(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
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(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
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(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) d))

rewrite282.0ms (1.3%)

Memory

-3.7MiB live, 494.8MiB allocated

Rules

5 306×	`lower-*.f32`
5 250×	`lower-*.f64`
3 444×	`lower-pow.f32`
3 440×	`lower-pow.f64`
3 208×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	448
0	143	391
1	500	350
2	4188	333
0	8965	329

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 929

Calls

Call 1

Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h)
(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))))
(sqrt.f64 (/.f64 h l))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64)))
(.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))
(*.f64 M D)
(/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
(/.f64 (.f64 d d) (.f64 h l))
(.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 d))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 d #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d l))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) (neg.f64 (log.f64 h))))
(neg.f64 (/.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 h (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 h (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)) (.f64 M D)))
(/.f64 (.f64 M D) (.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 h (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (/.f64 d h))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64))))))))
(/.f64 (.f64 M (neg.f64 D)) (neg.f64 (.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (.f64 M (neg.f64 D)) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (/.f64 (.f64 M D) d) (.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 d h))
(/.f64 (.f64 (.f64 M (neg.f64 D)) #s(literal 1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M (neg.f64 D)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) h) d)
(/.f64 (.f64 (/.f64 (.f64 M D) d) h) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) h)) (.f64 d #s(literal 2 binary64)))
(pow.f64 (.f64 h (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)) (.f64 M D)) #s(literal -1 binary64))
(.f64 h (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64)))))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d)) #s(literal 3 binary64))) (/.f64 d (sqrt.f64 (.f64 h l)))) (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d)) (fma.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (.f64 h #s(literal 1/2 binary64)) (.f64 d l))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) #s(literal 1/4 binary64))) (.f64 h #s(literal 1/2 binary64))) (.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) #s(literal 1/4 binary64))) (.f64 h #s(literal 1/2 binary64))) (.f64 d l))) (.f64 d d))) (/.f64 d (sqrt.f64 (.f64 h l)))) (fma.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (.f64 h #s(literal 1/2 binary64)) (.f64 d l))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (*.f64 d d)))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (*.f64 d d)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (*.f64 d d))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (*.f64 d d)))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (*.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))

eval339.0ms (1.5%)

Memory: 57.4MiB live, 682.7MiB allocated
Compiler: Compiled 83 552 to 3 643 computations (95.6% saved)

prune583.0ms (2.7%)

Memory

-68.8MiB live, 917.5MiB allocated

Pruning

64 alts after pruning (63 fresh and 1 done)

	Pruned	Kept	Total
New	2 275	48	2 323
Fresh	17	15	32
Picked	4	1	5
Done	0	0	0
Total	2 296	64	2 360

Accuracy

94.2%

Counts

2 360 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.4%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) h) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (neg.f64 l))) (/.f64 d (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
	20.8%	(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) #s(approx (sqrt (/ ( d d) (* h l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	27.8%	(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) d) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 d #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	21.5%	(fma.f64 (.f64 (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64)) (.f64 M D)) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	20.0%	(fma.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (.f64 h l))))
	25.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))
	32.1%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
	26.8%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	30.4%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
	26.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	50.2%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
	51.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	32.6%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	31.3%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
	61.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (.f64 M (.f64 D D)) (.f64 M (/.f64 #s(literal 1/4 binary64) d)))) d)))
	64.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) #s(literal 1/4 binary64))) (/.f64 (.f64 h #s(literal 1/2 binary64)) (*.f64 d l))) d)))
	74.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
	62.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))) (/.f64 h l))))
	67.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	33.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	40.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	39.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	39.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	65.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
▶	74.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	72.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	41.3%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	73.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	46.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (*.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	56.2%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	51.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	18.8%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
▶	17.6%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
	28.8%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	25.0%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d))))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (/.f64 (.f64 h l) (.f64 d d)) #s(literal -1/2 binary64)))
▶	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	16.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
	21.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
	63.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) h))
	13.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 h (.f64 h h)))) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))) h))
	37.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (*.f64 h h)) l) l) l))))) h))
	35.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 (/.f64 h l) (.f64 h h)) (.f64 l l)))))) h))
	33.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 (/.f64 (.f64 h h) (.f64 l (*.f64 l l))) h))))) h))
	12.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	39.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
▶	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	19.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
	40.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
▶	19.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64))))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
✓	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	23.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	20.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))))

Compiler

Compiled 3 970 to 2 462 computations (38% saved)

simplify171.0ms (0.8%)

Memory

19.2MiB live, 326.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 1/4 binary64))
cost-diff	0	(.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64))))
cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))
cost-diff	0	(/.f64 (.f64 M (.f64 M D)) d)
cost-diff	0	(fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l))))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
cost-diff	0	(/.f64 h (.f64 l (.f64 l l)))
cost-diff	0	(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))
cost-diff	0	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
cost-diff	0	(*.f64 h l)
cost-diff	0	(sqrt.f64 (*.f64 h l))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 h l)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
cost-diff	384	(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1088	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

8 226×	`lower-*.f32`
8 180×	`lower-*.f64`
3 016×	`lower-/.f32`
2 986×	`lower-/.f64`
1 810×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	686
0	141	635
1	289	600
2	953	574
3	5171	573
0	8370	567

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 M (.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))
(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
(/.f64 h (.f64 l (.f64 l l)))
h
(.f64 l (.f64 l l))
l
(*.f64 l l)
(.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))
(.f64 M (.f64 M (*.f64 D D)))
M
(.f64 M (.f64 D D))
(*.f64 D D)
D
(/.f64 #s(literal 1/8 binary64) d)
#s(literal 1/8 binary64)
d
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
(fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l))))
(/.f64 (.f64 M (.f64 M D)) d)
(.f64 M (.f64 M D))
M
(*.f64 M D)
D
d
(.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))))
(.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(.f64 h (.f64 h h))
h
(*.f64 h h)
(.f64 l (.f64 l l))
l
(*.f64 l l)
(*.f64 d (sqrt.f64 (/.f64 h l)))
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64))))
(.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64)))
d
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 1/4 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
#s(literal 1/4 binary64)

Outputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 h (/.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal -1/4 binary64))) (.f64 d l))) (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 h (/.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal -1/4 binary64))) (.f64 d l))) (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M (/.f64 (.f64 D #s(literal 1/4 binary64)) d)) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) (*.f64 d l))))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (*.f64 d l))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 M (/.f64 (.f64 D #s(literal 1/4 binary64)) d))
(.f64 M (.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 D (.f64 M h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(.f64 D (/.f64 M (.f64 d #s(literal 2 binary64))))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 M (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64))) d))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 M (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64))) d)))
(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
(/.f64 h (.f64 l (.f64 l l)))
h
(.f64 l (.f64 l l))
l
(*.f64 l l)
(.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))
(/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) d)
(.f64 M (.f64 M (*.f64 D D)))
M
(.f64 M (.f64 D D))
(*.f64 D D)
D
(/.f64 #s(literal 1/8 binary64) d)
#s(literal 1/8 binary64)
d
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 D #s(literal -1/8 binary64))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 D #s(literal -1/8 binary64))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
(fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l))))
(fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 D #s(literal -1/8 binary64))) (*.f64 d (sqrt.f64 (/.f64 h l))))
(/.f64 (.f64 M (.f64 M D)) d)
(.f64 M (.f64 M D))
M
(*.f64 M D)
D
d
(.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))))
(.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 D #s(literal -1/8 binary64)))
(.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(.f64 h (.f64 h h))
h
(*.f64 h h)
(.f64 l (.f64 l l))
l
(*.f64 l l)
(*.f64 d (sqrt.f64 (/.f64 h l)))
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h l) (.f64 h l))) #s(literal 1/4 binary64))))
(.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64)))
(.f64 d (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h l) (.f64 h l))) #s(literal 1/4 binary64)))
d
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h l) (*.f64 h l))) #s(literal 1/4 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 h l) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
#s(literal 1/4 binary64)

localize267.0ms (1.2%)

Memory

-17.3MiB live, 504.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19140625	(.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64)))
accuracy	0.4249210162934244	(/.f64 #s(literal 1 binary64) (*.f64 h l))
accuracy	38.46880975139984	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 1/4 binary64))
accuracy	47.740147215684495	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64))))
accuracy	8.860468410346913	(fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l))))
accuracy	10.314955537498651	(sqrt.f64 (/.f64 h l))
accuracy	15.660200321637891	(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
accuracy	19.425288343674595	(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
accuracy	6.3643782893872585	(.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))
accuracy	10.92004827868009	(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))
accuracy	19.661070829550933	(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
accuracy	45.94364532801933	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
accuracy	0	(*.f64 h l)
accuracy	0.24609375	(/.f64 d (sqrt.f64 (*.f64 h l)))
accuracy	14.558445850816614	(sqrt.f64 (*.f64 h l))
accuracy	47.740147215684495	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
accuracy	6.516514188375137	(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
accuracy	7.249099648599269	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
accuracy	13.8500977047789	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.288779890843905	(sqrt.f64 (/.f64 d l))

Samples

168.0ms

256×

valid

Compiler

Compiled 639 to 82 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 50.0ms (37.7% of total)

ival-div: 33.0ms (24.9% of total)

ival-pow: 29.0ms (21.8% of total)

ival-sqrt: 12.0ms (9% of total)

ival-pow2: 3.0ms (2.3% of total)

ival-add: 2.0ms (1.5% of total)

ival-sub: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series181.0ms (0.8%)

Memory

44.8MiB live, 395.1MiB allocated

Counts

28 → 1 044

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h l)))) (patch #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) #<representation binary64>) () ())
#s(alt (/.f64 d (sqrt.f64 (.f64 h l))) (patch (/.f64 d (sqrt.f64 (.f64 h l))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 h l)) (patch (sqrt.f64 (.f64 h l)) #<representation binary64>) () ())
#s(alt (.f64 h l) (patch (.f64 h l) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))) (patch #s(approx (+ ( (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))) (patch (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (patch (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) #<representation binary64>) () ())
#s(alt (/.f64 h (.f64 l (.f64 l l))) (patch (/.f64 h (.f64 l (.f64 l l))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)) (patch #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h) (patch (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (.f64 d (sqrt.f64 (/.f64 h l)))) (patch (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (.f64 d (sqrt.f64 (/.f64 h l)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M (.f64 M D)) d) (patch (/.f64 (.f64 M (.f64 M D)) d) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64)))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64))) (patch (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))) (patch (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (patch (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* h l)) (taylor 0 h) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor 0 h) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor 0 h) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor inf h) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor inf h) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor inf h) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor inf h) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor -inf h) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor -inf h) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor -inf h) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor -inf h) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor 0 l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor 0 l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor 0 l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor 0 l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor inf l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor inf l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor inf l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor inf l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor -inf l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor -inf l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor -inf l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* h l)) (taylor -inf l) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())) ())

Calls

261 calls:

Time	Variable		Point	Expression
67.0ms	d	@	0	(* d (pow (* (/ 1 (* h l)) (/ 1 (* h l))) 1/4))
17.0ms	l	@	0	(* d (pow (* (/ 1 (* h l)) (/ 1 (* h l))) 1/4))
10.0ms	h	@	0	(* d (pow (* (/ 1 (* h l)) (/ 1 (* h l))) 1/4))
2.0ms	h	@	inf	(* (sqrt (/ h (* l (* l l)))) (* (* M (* M (* D D))) (/ 1/8 d)))
1.0ms	h	@	0	(* (/ 1 (* h l)) (/ 1 (* h l)))

simplify399.0ms (1.8%)

Memory

-23.3MiB live, 490.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 726×	`lower-*.f64`
5 726×	`lower-*.f32`
5 154×	`lower-fma.f64`
5 154×	`lower-fma.f32`
2 958×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	16323
1	565	15626
2	1914	15560
3	3465	15219
4	7525	15219
0	8594	14940

Stop Event

1×	iter limit
1×	node limit

Counts

1 044 → 1 044

Calls

Call 1

Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
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(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (sqrt -1)) (sqrt (/ 1 (* h l))))
(* (* d (sqrt -1)) (sqrt (/ 1 (* h l))))
(* (* d (sqrt -1)) (sqrt (/ 1 (* h l))))
(* (* d (sqrt -1)) (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (sqrt -1)) (sqrt (/ 1 (* h l))))
(* (* d (sqrt -1)) (sqrt (/ 1 (* h l))))
(* (* d (sqrt -1)) (sqrt (/ 1 (* h l))))
(* (* d (sqrt -1)) (sqrt (/ 1 (* h l))))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(* (sqrt (/ 1 (* h l))) (sqrt -1))
(* (sqrt (/ 1 (* h l))) (sqrt -1))
(* (sqrt (/ 1 (* h l))) (sqrt -1))
(* (sqrt (/ 1 (* h l))) (sqrt -1))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(* (sqrt (/ 1 (* h l))) (sqrt -1))
(* (sqrt (/ 1 (* h l))) (sqrt -1))
(* (sqrt (/ 1 (* h l))) (sqrt -1))
(* (sqrt (/ 1 (* h l))) (sqrt -1))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(/ (pow h 3) (pow l 3))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))
(/ 1 (* h l))

Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
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(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/4 (/ (* D M) d))
(.f64 (.f64 D M) (/.f64 #s(literal 1/4 binary64) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal 1/8 binary64)) d))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/ (pow h 3) (pow l 3))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h l))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h l))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h l))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h l)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h l)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h l)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h l)))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))

rewrite368.0ms (1.7%)

Memory

-0.6MiB live, 522.9MiB allocated

Rules

5 074×	`lower-*.f32`
5 028×	`lower-*.f64`
3 264×	`lower-pow.f32`
3 260×	`lower-pow.f64`
2 974×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	478
0	142	404
1	495	373
2	4044	347
0	8694	339

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

28 → 813

Calls

Call 1

Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))
(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
(/.f64 h (.f64 l (.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
(fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l))))
(/.f64 (.f64 M (.f64 M D)) d)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64))))
(.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 1/4 binary64))
(sqrt.f64 (/.f64 d l))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(sqrt.f64 (/.f64 h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(.f64 (pow.f64 (.f64 d #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))) (neg.f64 (log.f64 h))))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 h (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)) (.f64 M D)))
(/.f64 (.f64 M D) (.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (/.f64 d h))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)))))
(/.f64 (.f64 M (neg.f64 D)) (neg.f64 (.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (.f64 M (neg.f64 D)) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (/.f64 (.f64 M D) d) (.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 d h))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M (neg.f64 D)) #s(literal 1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M (neg.f64 D)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 M D) d) h) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) h) d)
(/.f64 (/.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) h)) (.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)) (.f64 M D)) #s(literal -1 binary64))
(.f64 h (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))))
(.f64 M (/.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(.f64 M (.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) h))
(.f64 M (/.f64 D (.f64 (/.f64 d h) #s(literal 2 binary64))))
(.f64 D (/.f64 M (.f64 (/.f64 d h) #s(literal 2 binary64))))
(.f64 (.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h))
(.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) h)
(.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(.f64 (/.f64 M d) (.f64 (*.f64 D #s(literal 1/2 binary64)) h))
(.f64 (/.f64 M d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (.f64 d #s(literal 2 binary64))))
(.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (.f64 d #s(literal 2 binary64))))
(.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 M d) #s(literal 1 binary64)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 h))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D (.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 M d)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 D #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M (neg.f64 D))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 M D) d)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
#s(literal 1/2 binary64)
(exp.f64 (.f64 (log.f64 (.f64 l (.f64 (/.f64 d (.f64 M D)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)))
(/.f64 #s(literal 1 binary64) (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) l))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (.f64 M (.f64 D #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d #s(literal 2 binary64)) l))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) d) l)
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) d) (neg.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 l (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (.f64 (.f64 d #s(literal 2 binary64)) l)))
(/.f64 (.f64 (neg.f64 M) (/.f64 (.f64 D #s(literal 1/4 binary64)) d)) (neg.f64 l))
(/.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (/.f64 d (.f64 M D)) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 d #s(literal 2 binary64)) l))
(/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 d #s(literal -2 binary64)) l))
(/.f64 (.f64 (/.f64 (.f64 M (*.f64 D #s(literal 1/4 binary64))) d) #s(literal 1 binary64)) l)
(/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) l)) (.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l)) (.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) l)) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) l) (*.f64 d #s(literal 2 binary64)))
(pow.f64 (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) l) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (.f64 M (.f64 D #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (*.f64 d #s(literal 2 binary64)) l)))
(.f64 M (.f64 (/.f64 (*.f64 D #s(literal 1/4 binary64)) d) (/.f64 #s(literal 1 binary64) l)))
(.f64 M (/.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)))
(.f64 M (/.f64 (/.f64 (.f64 D #s(literal 1/4 binary64)) d) l))
(.f64 (.f64 M D) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 d #s(literal 2 binary64)) l)))
(.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 M (.f64 (.f64 d #s(literal 2 binary64)) l)))
(.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 d #s(literal 2 binary64)) l)))
(.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) d) l))
(.f64 (/.f64 (.f64 M (*.f64 D #s(literal 1/4 binary64))) d) (/.f64 #s(literal 1 binary64) l))
(.f64 (.f64 (neg.f64 M) (/.f64 (*.f64 D #s(literal 1/4 binary64)) d)) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(.f64 (/.f64 M d) (.f64 (*.f64 D #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) l)))
(.f64 (/.f64 M d) (/.f64 (.f64 D #s(literal 1/4 binary64)) l))
(.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (.f64 M (*.f64 D #s(literal 1/4 binary64))) d))
(.f64 (/.f64 M l) (/.f64 (.f64 D #s(literal 1/4 binary64)) d))
(.f64 (/.f64 (.f64 M D) l) (/.f64 #s(literal 1/2 binary64) (*.f64 d #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) l) (/.f64 M (*.f64 d #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 l (.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (pow.f64 (/.f64 l (.f64 (.f64 M D) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 d #s(literal -2 binary64))))
(.f64 (pow.f64 (/.f64 l (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 h l)) d)) #s(literal -1 binary64)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
(neg.f64 (/.f64 d (neg.f64 (sqrt.f64 (*.f64 h l)))))
(neg.f64 (/.f64 (neg.f64 d) (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h (/.f64 l (.f64 d d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d)))
(/.f64 (neg.f64 d) (neg.f64 (sqrt.f64 (*.f64 h l))))
(/.f64 (sqrt.f64 (.f64 d (neg.f64 d))) (sqrt.f64 (neg.f64 (.f64 h l))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))
(/.f64 (.f64 d #s(literal 1 binary64)) (sqrt.f64 (.f64 h l)))
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 h l)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) #s(literal -1 binary64))
(pow.f64 (.f64 h (/.f64 l (.f64 d d))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (/.f64 (.f64 d d) (.f64 h l)) (/.f64 (.f64 d d) (*.f64 h l))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (.f64 h (/.f64 l (.f64 d d)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (/.f64 d h) (/.f64 d h)) (*.f64 (/.f64 d l) (/.f64 d l))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (/.f64 d l) (/.f64 d l)) (*.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d h))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))))
(.f64 (pow.f64 (.f64 h l) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 h l) #s(literal -1/4 binary64)) d))
(.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d (.f64 h l))))
(.f64 (sqrt.f64 d) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 d l)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d))
(.f64 (sqrt.f64 (.f64 d (neg.f64 d))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 h l))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 (.f64 d d) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (.f64 d d) (*.f64 h l)) #s(literal 1/4 binary64)))
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(.f64 (.f64 D #s(literal 1/4 binary64)) (/.f64 M d))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(.f64 (.f64 M #s(literal 1/2 binary64)) (pow.f64 (/.f64 d (*.f64 D #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 M (*.f64 D #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 D #s(literal 1/4 binary64)) d) M)
(.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) (*.f64 M #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 d (.f64 D #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 M #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (.f64 M #s(literal 1/8 binary64)))))
(/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64)))
(/.f64 (.f64 (.f64 M (.f64 D D)) (.f64 M #s(literal 1/8 binary64))) d)
(/.f64 (neg.f64 (.f64 (.f64 M (.f64 D D)) (.f64 M #s(literal 1/8 binary64)))) (neg.f64 d))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M D)) D) #s(literal 1 binary64)) (*.f64 d #s(literal 8 binary64)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M D)) D) #s(literal -1/8 binary64)) (neg.f64 d))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 M (.f64 M D)) D)) (*.f64 d #s(literal 8 binary64)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 M D)) D)) (neg.f64 d))
(pow.f64 (/.f64 d (.f64 (.f64 M (.f64 D D)) (.f64 M #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(.f64 M (/.f64 (.f64 M (.f64 D D)) (.f64 d #s(literal 8 binary64))))
(.f64 (.f64 M (.f64 D D)) (.f64 M (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (.f64 (.f64 M (.f64 M D)) D) (/.f64 #s(literal 1/8 binary64) d))
(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (.f64 M (*.f64 M D)) D)))
(.f64 (/.f64 #s(literal 1/8 binary64) d) (.f64 (.f64 M (.f64 M D)) D))
(.f64 (.f64 M M) (.f64 (.f64 D D) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 (.f64 M (.f64 D D)) (.f64 d #s(literal 8 binary64))) M)
(.f64 (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) d))
(.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (.f64 D D)))
(.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) (.f64 M M)) (.f64 D D))
(exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 l l) (/.f64 l (.f64 h (*.f64 h h))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 h) #s(literal 3 binary64)) (.f64 (log.f64 l) #s(literal 3 binary64))))
(neg.f64 (/.f64 (.f64 h (.f64 h h)) (neg.f64 (.f64 l (.f64 l l)))))
(neg.f64 (/.f64 (neg.f64 (.f64 h (.f64 h h))) (.f64 l (.f64 l l))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (/.f64 l (.f64 h (.f64 h h)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l l) (/.f64 l (.f64 h (.f64 h h)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l l) (/.f64 (.f64 h (*.f64 h h)) l)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 l h) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 h h) (.f64 (/.f64 l h) (*.f64 l l)))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 l l) (/.f64 l (.f64 h (.f64 h h))))))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 l h)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 h (.f64 h h))) (neg.f64 (.f64 l (.f64 l l))))
(/.f64 (/.f64 (.f64 h (.f64 h h)) l) (*.f64 l l))
(/.f64 (neg.f64 (neg.f64 (.f64 h (.f64 h h)))) (neg.f64 (neg.f64 (.f64 l (.f64 l l)))))
(/.f64 (neg.f64 (/.f64 (.f64 h (.f64 h h)) l)) (neg.f64 (*.f64 l l)))
(/.f64 (.f64 (/.f64 h l) (.f64 h h)) (*.f64 l l))
(/.f64 (.f64 h (.f64 h (/.f64 h (*.f64 l l)))) l)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 h (/.f64 h (*.f64 l l)))) (/.f64 l h))
(/.f64 (.f64 (neg.f64 h) (.f64 h (/.f64 h (*.f64 l l)))) (neg.f64 l))
(/.f64 (/.f64 (.f64 h (.f64 h h)) (*.f64 l l)) l)
(/.f64 (/.f64 (/.f64 (.f64 h (.f64 h h)) l) l) l)
(/.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) (pow.f64 (neg.f64 l) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (neg.f64 h)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 l)) #s(literal 3 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3 binary64))
(pow.f64 (/.f64 l h) #s(literal -3 binary64))
(pow.f64 (.f64 (.f64 l l) (/.f64 l (.f64 h (.f64 h h)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 l l) (/.f64 l (.f64 h (.f64 h h)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 l l) (/.f64 (.f64 h (*.f64 h h)) l)) #s(literal -1 binary64))
(.f64 h (/.f64 (.f64 h h) (.f64 l (.f64 l l))))
(.f64 h (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 h (/.f64 h (.f64 l l)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))
(.f64 (/.f64 h l) (.f64 h (/.f64 h (*.f64 l l))))
(.f64 (.f64 h h) (/.f64 h (.f64 l (.f64 l l))))
(.f64 (.f64 h (.f64 h h)) (/.f64 #s(literal 1 binary64) (.f64 l (*.f64 l l))))
(.f64 (.f64 h (*.f64 h h)) (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 3 binary64)))
(.f64 (neg.f64 (.f64 h (.f64 h h))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 l (*.f64 l l)))))
(.f64 (.f64 h (/.f64 h (*.f64 l l))) (/.f64 h l))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 l l))) (.f64 h (*.f64 h h)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 l l))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 h (*.f64 h h))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 (.f64 l l) (.f64 h (.f64 h h))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 h (.f64 h h)) l) (/.f64 #s(literal 1 binary64) (.f64 l l)))
(.f64 (/.f64 (.f64 h h) (.f64 l (.f64 l l))) h)
(.f64 (/.f64 h (.f64 l l)) (/.f64 (*.f64 h h) l))
(.f64 (/.f64 (.f64 h h) l) (/.f64 h (*.f64 l l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) (/.f64 (.f64 h (.f64 h h)) l))
(.f64 (pow.f64 (/.f64 (.f64 l l) h) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 h h)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 3 binary64)) (.f64 h (*.f64 h h)))
(*.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l)) #s(literal 3 binary64)))
(.f64 (pow.f64 (/.f64 l (.f64 h h)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 l l) h) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h l))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 l l) (/.f64 l (.f64 h (.f64 h h))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (.f64 l (.f64 l l))) (sqrt.f64 (.f64 h (.f64 h h)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 l h)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 h)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (.f64 h (.f64 h h))) (sqrt.f64 (.f64 l (.f64 l l))))
(/.f64 (sqrt.f64 (neg.f64 (.f64 h (.f64 h h)))) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l)))))
(/.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) l)) (sqrt.f64 (*.f64 l l)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 h (.f64 h h)))) (neg.f64 (sqrt.f64 (.f64 l (.f64 l l)))))
(/.f64 (pow.f64 (sqrt.f64 h) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (neg.f64 h)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 h)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 l)) #s(literal 3 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 h l)) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 l l) (/.f64 l (.f64 h (.f64 h h)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l (.f64 h (.f64 h h))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (.f64 l (.f64 l l))) (sqrt.f64 (.f64 h (.f64 h h)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 l l) (/.f64 l (.f64 h (.f64 h h)))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))) (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 h (/.f64 h (*.f64 l l)))))
(.f64 (sqrt.f64 (.f64 h (.f64 h h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (*.f64 l l)))))
(.f64 (sqrt.f64 h) (sqrt.f64 (/.f64 (.f64 h h) (.f64 l (.f64 l l)))))
(.f64 (sqrt.f64 h) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 h (/.f64 h (.f64 l l)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 (.f64 h h) (.f64 l (.f64 l l)))) (sqrt.f64 h))
(.f64 (sqrt.f64 (.f64 h (/.f64 h (*.f64 l l)))) (sqrt.f64 (/.f64 h l)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 l l)))) (sqrt.f64 (.f64 h (*.f64 h h))))
(.f64 (sqrt.f64 (neg.f64 (.f64 h (.f64 h h)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 l (*.f64 l l)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) l)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 l l) (/.f64 l (.f64 h (.f64 h h)))) #s(literal -1/4 binary64)) (pow.f64 (.f64 (.f64 l l) (/.f64 l (.f64 h (*.f64 h h)))) #s(literal -1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))
(.f64 (sqrt.f64 (.f64 h h)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))
(.f64 (pow.f64 (/.f64 h (.f64 l l)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 h h) l) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 h h) l) #s(literal 1/2 binary64)) (pow.f64 (/.f64 h (*.f64 l l)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 h) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 h l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (sqrt.f64 h) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l)))
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 l)))
(pow.f64 (/.f64 h l) #s(literal 1/2 binary64))
(pow.f64 (/.f64 l h) #s(literal -1/2 binary64))
(pow.f64 (.f64 h (/.f64 h (.f64 l l))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 l h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 h)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 h l))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 h) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))
(*.f64 (sqrt.f64 (neg.f64 h)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 h l)))
(exp.f64 (neg.f64 (log.f64 (*.f64 h l))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 h l))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 h l))))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 #s(literal 1 binary64) h) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 h l)))
(/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 l))
(/.f64 (/.f64 #s(literal 1 binary64) l) h)
(pow.f64 (*.f64 h l) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (*.f64 h l)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) #s(literal 1 binary64))
(pow.f64 (.f64 h (.f64 l (*.f64 h l))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (*.f64 h l))) #s(literal -1 binary64))
(pow.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 h l)))
(*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 #s(literal 1 binary64) h) (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 h l))))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 h l))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) h))
(.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 1 binary64)))

eval280.0ms (1.3%)

Memory: 53.0MiB live, 631.7MiB allocated
Compiler: Compiled 55 524 to 3 208 computations (94.2% saved)

prune819.0ms (3.7%)

Memory

-121.4MiB live, 1 174.8MiB allocated

Pruning

75 alts after pruning (73 fresh and 2 done)

	Pruned	Kept	Total
New	1 946	38	1 984
Fresh	23	35	58
Picked	4	1	5
Done	0	1	1
Total	1 973	75	2 048

Accuracy

95.6%

Counts

2 048 → 75

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.4%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (neg.f64 h)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (/.f64 d (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
	27.8%	(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) d) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 d #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	21.5%	(fma.f64 (.f64 (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64)) (.f64 M D)) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	20.0%	(fma.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (.f64 h l))))
	22.3%	(fma.f64 (.f64 (neg.f64 (/.f64 (.f64 h d) (.f64 l (sqrt.f64 (.f64 h l))))) (.f64 M D)) (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	32.6%	(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	25.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))
	26.8%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	50.2%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
	32.6%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	31.8%	(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
▶	57.3%	(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	74.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
	62.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))) (/.f64 h l))))
	67.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	33.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	40.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	39.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	39.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	65.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	74.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) h))))
	72.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	69.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (/ (/ ( M (* D 1/2)) (* d 2)) l) (.f64 D (.f64 (/.f64 M (.f64 d l)) #s(literal 1/4 binary64)))) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
▶	41.3%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	46.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (*.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	56.2%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	51.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
▶	74.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	26.0%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))
	19.1%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
	17.9%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
	18.8%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
▶	17.4%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
	19.7%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
	14.6%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
	16.2%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
	18.4%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
	18.3%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
	17.6%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
	17.9%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
	17.9%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
	28.8%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	27.0%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 l l)) l))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (/.f64 (.f64 h l) (.f64 d d)) #s(literal -1/2 binary64)))
	63.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 (neg.f64 h)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 3 binary64))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	32.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) l)) (sqrt.f64 (.f64 l l))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
	63.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
	36.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (.f64 h h)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	37.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (.f64 h h)) l) l) l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	15.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))))) h))
	27.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) M) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
	63.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) h))
	33.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 (/.f64 (.f64 h h) (.f64 l (*.f64 l l))) h))))) h))
	12.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	39.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	19.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
	40.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	19.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (*.f64 h l)) #s(literal 1/4 binary64))))
	22.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (*.f64 h l))))))
	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
✓	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	23.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
▶	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	31.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) h) (neg.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))))

Compiler

Compiled 4 484 to 2 772 computations (38.2% saved)

simplify176.0ms (0.8%)

Memory

6.9MiB live, 279.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
cost-diff	320	(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
cost-diff	384	(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
cost-diff	1088	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff	0	(.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))))
cost-diff	0	(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
cost-diff	128	(fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 M (*.f64 M D)) D)
cost-diff	0	(/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64)))
cost-diff	0	(.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))
cost-diff	0	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
cost-diff	0	(*.f64 d d)
cost-diff	0	(/.f64 (.f64 d d) (.f64 h l))
cost-diff	0	(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
cost-diff	320	(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
cost-diff	384	(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
cost-diff	1088	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))

Rules

6 220×	`lower-*.f32`
6 174×	`lower-*.f64`
4 142×	`lower-/.f32`
4 116×	`lower-/.f64`
2 490×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	688
0	132	676
1	285	630
2	1005	606
3	4567	606
0	8071	597

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
#s(literal 1 binary64)
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 M (.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
(/.f64 (.f64 d d) (.f64 h l))
(*.f64 d d)
d
(*.f64 h l)
h
l
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
(.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))
(/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64)))
(.f64 (.f64 M (*.f64 M D)) D)
(.f64 M (.f64 M D))
M
(*.f64 M D)
D
(*.f64 d #s(literal 8 binary64))
d
#s(literal 8 binary64)
(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
(/.f64 h (.f64 l (.f64 l l)))
h
(.f64 l (.f64 l l))
l
(*.f64 l l)
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64))
(.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))))
D
(.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))
M
(.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))
(.f64 D (/.f64 M (.f64 d d)))
(/.f64 M (*.f64 d d))
(*.f64 d d)
d
#s(literal 1/8 binary64)
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
#s(literal 1 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 d)
d
(sqrt.f64 h)
h
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
#s(literal 1 binary64)
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 M (.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)

Outputs
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d #s(literal -2 binary64)))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d #s(literal -2 binary64)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 d l)) (.f64 M (.f64 D h))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d)
(.f64 M (.f64 D #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 M D))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M (.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
(/.f64 (.f64 d d) (.f64 h l))
(*.f64 d d)
d
(*.f64 h l)
h
l
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
(.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))
(.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))
(/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64)))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal 8 binary64)))
(.f64 (.f64 M (*.f64 M D)) D)
(.f64 M (.f64 D (*.f64 M D)))
(.f64 M (.f64 M D))
M
(*.f64 M D)
D
(*.f64 d #s(literal 8 binary64))
d
#s(literal 8 binary64)
(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
(/.f64 h (.f64 l (.f64 l l)))
h
(.f64 l (.f64 l l))
l
(*.f64 l l)
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 D (/.f64 (.f64 (.f64 M (.f64 M D)) (.f64 #s(literal -1/8 binary64) (/.f64 h l))) (*.f64 d d)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 D (/.f64 (.f64 (.f64 M (.f64 M D)) (.f64 #s(literal -1/8 binary64) (/.f64 h l))) (.f64 d d)) #s(literal 1 binary64)))
(fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64))
(fma.f64 D (/.f64 (.f64 (.f64 M (.f64 M D)) (.f64 #s(literal -1/8 binary64) (/.f64 h l))) (*.f64 d d)) #s(literal 1 binary64))
(.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))))
(/.f64 (.f64 (.f64 D (.f64 M D)) (.f64 M #s(literal 1/8 binary64))) (*.f64 d d))
D
(.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))
(/.f64 (.f64 M (.f64 (.f64 M D) #s(literal 1/8 binary64))) (.f64 d d))
M
(.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))
(/.f64 (.f64 (.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))
(.f64 D (/.f64 M (.f64 d d)))
(/.f64 (.f64 M D) (.f64 d d))
(/.f64 M (*.f64 d d))
(*.f64 d d)
d
#s(literal 1/8 binary64)
(/.f64 (neg.f64 h) l)
(neg.f64 (/.f64 h l))
(neg.f64 h)
h
l
#s(literal 1 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d #s(literal -2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 d)
d
(sqrt.f64 h)
h
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d #s(literal -2 binary64)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 d l)) (.f64 M (.f64 D h))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d)
(.f64 M (.f64 D #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 M D))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M (.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)

localize253.0ms (1.1%)

Memory

-34.8MiB live, 434.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.737742178188976	(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
accuracy	3.744689324381234	(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
accuracy	4.362727617159361	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
accuracy	7.224037818521105	(sqrt.f64 (/.f64 d l))
accuracy	2.912928301302552	(.f64 D (/.f64 M (.f64 d d)))
accuracy	4.248981728040959	(/.f64 M (*.f64 d d))
accuracy	7.224037818521105	(sqrt.f64 (/.f64 d l))
accuracy	8.077052218305068	(sqrt.f64 (/.f64 d h))
accuracy	3.0415987325318046	(/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64)))
accuracy	5.552004717337316	(.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))
accuracy	10.70925101085343	(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
accuracy	30.717713902329656	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
accuracy	0	(*.f64 d d)
accuracy	6.058814437096305	(/.f64 (.f64 d d) (.f64 h l))
accuracy	11.056810634894964	(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
accuracy	17.57873591882926	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
accuracy	3.744689324381234	(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
accuracy	4.362727617159361	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
accuracy	7.224037818521105	(sqrt.f64 (/.f64 d l))
accuracy	8.077052218305068	(sqrt.f64 (/.f64 d h))

Samples

76.0ms	126×	0	invalid
74.0ms	130×	0	valid

Compiler

Compiled 669 to 78 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-mult: 50.0ms (44% of total)

ival-div: 28.0ms (24.6% of total)

ival-sqrt: 14.0ms (12.3% of total)

ival-pow: 11.0ms (9.7% of total)

ival-add: 2.0ms (1.8% of total)

ival-sub: 2.0ms (1.8% of total)

ival-neg: 2.0ms (1.8% of total)

ival-pow2: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series81.0ms (0.4%)

Memory

0.1MiB live, 157.7MiB allocated

Counts

24 → 1 020

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) (patch (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (patch (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 d d) (.f64 h l)) (patch (/.f64 (.f64 d d) (.f64 h l)) #<representation binary64>) () ())
#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))) (patch #s(approx (+ ( (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (patch (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (patch (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 M (.f64 M D)) D) (patch (.f64 (.f64 M (.f64 M D)) D) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (patch (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) (patch (.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())
#s(alt (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (patch (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (patch (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (patch (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) #<representation binary64>) () ())
#s(alt (/.f64 M (.f64 d d)) (patch (/.f64 M (.f64 d d)) #<representation binary64>) () ())
#s(alt (.f64 D (/.f64 M (.f64 d d))) (patch (.f64 D (/.f64 M (.f64 d d))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

255 calls:

Time	Variable		Point	Expression
2.0ms	D	@	inf	(* (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l)))
1.0ms	h	@	-inf	(* (* (/ (sqrt d) (sqrt h)) (sqrt (/ d l))) (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))))
1.0ms	d	@	-inf	(* (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l)))
1.0ms	M	@	inf	(/ M (* d d))
0.0ms	D	@	0	(* (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l)))

simplify279.0ms (1.3%)

Memory

13.9MiB live, 334.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 590×	`lower-*.f64`
7 590×	`lower-*.f32`
4 338×	`lower-fma.f64`
4 338×	`lower-fma.f32`
3 040×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	16178
1	737	15746
2	2666	15692
3	6419	15647
0	8355	15302

Stop Event

1×	iter limit
1×	node limit

Counts

1 020 → 1 020

Calls

Call 1

Inputs
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
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(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
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(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
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(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
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(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
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(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
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(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
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(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2)))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ M (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(/ (* D M) (pow d 2))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
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(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
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(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
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(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
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(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
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(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
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(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))

Outputs
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
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(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
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(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
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(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
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(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
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(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
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(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
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(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
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(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
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(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
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(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D M)) h) d)
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(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 M M))) d)
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 M M))) d)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 (sqrt.f64 (.f64 h l)) #s(literal -1/8 binary64)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 (sqrt.f64 (.f64 h l)) #s(literal -1/8 binary64)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 (sqrt.f64 (.f64 h l)) #s(literal -1/8 binary64)))) (*.f64 l l))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(neg.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(neg.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(neg.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 M M))) d)
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 M M))) d)
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 M M))) d)
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 M M))) d)
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) d) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D M)) d)

rewrite272.0ms (1.2%)

Memory

36.2MiB live, 417.6MiB allocated

Rules

4 850×	`lower-*.f32`
4 808×	`lower-*.f64`
3 088×	`lower-pow.f64`
3 088×	`lower-pow.f32`
3 060×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	400
0	133	375
1	466	330
2	4086	315
0	8520	307

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 1 153

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
(/.f64 (.f64 d d) (.f64 h l))
(*.f64 d d)
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
(.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))
(/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64)))
(.f64 (.f64 M (*.f64 M D)) D)
(fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))))
(sqrt.f64 (/.f64 d h))
(sqrt.f64 (/.f64 d l))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
(/.f64 M (*.f64 d d))
(.f64 D (/.f64 M (.f64 d d)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))) (neg.f64 (log.f64 h))))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) d) (/.f64 #s(literal 1 binary64) h)))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64))))) #s(literal 3 binary64))) (/.f64 d (sqrt.f64 (.f64 h l)))) (fma.f64 (.f64 (/.f64 h l) (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64))))) (fma.f64 (/.f64 h l) (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64))))) (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))))) (.f64 l l))) (/.f64 d (sqrt.f64 (.f64 h l)))) (fma.f64 (/.f64 h l) (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(/.f64 (.f64 d (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (/.f64 d (sqrt.f64 l)) (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 h))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
(/.f64 (.f64 (neg.f64 (sqrt.f64 d)) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (neg.f64 (sqrt.f64 h)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 h h) h) (.f64 l (.f64 l l))) (.f64 (.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64))))) (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 h l)))) (+.f64 (/.f64 (.f64 (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64))))) (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))))) (.f64 l l)) (fma.f64 (/.f64 h l) (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64))))) (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))))) (.f64 l l)) #s(literal -1 binary64)) (/.f64 d (sqrt.f64 (.f64 h l)))) (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (.f64 d d) (.f64 h l)) (/.f64 (.f64 (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64))))) (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))))) (.f64 l l)) (-.f64 (/.f64 (.f64 d d) (.f64 h l)) (.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (neg.f64 l))) (/.f64 (.f64 d d) (.f64 h l))))) (fma.f64 (/.f64 (.f64 d d) (.f64 h l)) (/.f64 d (sqrt.f64 (.f64 h l))) (pow.f64 (.f64 (.f64 M D) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/8 binary64)) (.f64 d d)) (/.f64 (.f64 d h) (.f64 (sqrt.f64 (*.f64 h l)) (neg.f64 l))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 M D) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/8 binary64)) (.f64 d d)) (/.f64 (.f64 d h) (.f64 (sqrt.f64 (.f64 h l)) (neg.f64 l))))) (/.f64 d (sqrt.f64 (.f64 h l)))) (fma.f64 (/.f64 (.f64 d d) (.f64 h l)) (/.f64 (.f64 (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64))))) (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))))) (.f64 l l)) (neg.f64 (/.f64 (.f64 d d) (.f64 h l))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))
(.f64 (sqrt.f64 d) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(.f64 (fma.f64 (/.f64 (.f64 d d) (.f64 h l)) (/.f64 d (sqrt.f64 (.f64 h l))) (pow.f64 (.f64 (.f64 M D) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/8 binary64)) (.f64 d d)) (/.f64 (.f64 d h) (.f64 (sqrt.f64 (.f64 h l)) (neg.f64 l))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 d d) (.f64 h l)) (/.f64 (.f64 (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64))))) (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))))) (.f64 l l)) (-.f64 (/.f64 (.f64 d d) (.f64 h l)) (.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (neg.f64 l))) (/.f64 (.f64 d d) (.f64 h l)))))))
(.f64 (fma.f64 (/.f64 (.f64 d d) (.f64 h l)) (/.f64 (.f64 (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64))))) (.f64 h (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))))) (.f64 l l)) (neg.f64 (/.f64 (.f64 d d) (.f64 h l)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 M D) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/8 binary64)) (.f64 d d)) (/.f64 (.f64 d h) (.f64 (sqrt.f64 (.f64 h l)) (neg.f64 l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (*.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
(exp.f64 (log.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) d))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 #s(literal 1 binary64) (*.f64 d #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M D) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 M D) d)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d)
(/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D))))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (neg.f64 d))
(/.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) d) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 M D)) (.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 M D))) (neg.f64 (.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) d)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (log.f64 (.f64 d #s(literal 2 binary64)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (.f64 M D)))) (exp.f64 (log.f64 (.f64 d #s(literal -2 binary64)))))
(/.f64 (exp.f64 (log.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (exp.f64 (log.f64 d)))
(/.f64 (exp.f64 (log.f64 (/.f64 (*.f64 M D) d))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (.f64 (.f64 d #s(literal 2 binary64)) d)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 d (.f64 (.f64 M D) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 M D) d)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal -1 binary64))
(.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))
(.f64 M (/.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 M (pow.f64 (/.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 D (/.f64 M (.f64 d #s(literal 2 binary64))))
(.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(.f64 (.f64 M D) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)))
(.f64 (.f64 M D) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d))
(.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 M d))
(.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) d))
(.f64 (neg.f64 (.f64 M D)) (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(.f64 (/.f64 M d) (.f64 D #s(literal 1/2 binary64)))
(.f64 (/.f64 M d) (/.f64 (.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 M d) (pow.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) #s(literal 1 binary64)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 D d) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 D d) (.f64 M #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 M D))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) M)
(.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (*.f64 M D) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))))
(.f64 (pow.f64 D #s(literal 1 binary64)) (pow.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 D #s(literal 1 binary64)) (pow.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 M D)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 M D) d) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 D (.f64 d #s(literal 2 binary64))))))
(.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 d #s(literal 2 binary64))))))
(.f64 (exp.f64 (log.f64 (/.f64 M d))) (exp.f64 (log.f64 (.f64 D #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (log.f64 (.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))

eval485.0ms (2.2%)

Memory: 30.7MiB live, 631.6MiB allocated
Compiler: Compiled 95 414 to 4 226 computations (95.6% saved)

prune809.0ms (3.7%)

Memory

-28.1MiB live, 1 378.8MiB allocated

Pruning

68 alts after pruning (65 fresh and 3 done)

	Pruned	Kept	Total
New	2 821	28	2 849
Fresh	31	37	68
Picked	4	1	5
Done	0	2	2
Total	2 856	68	2 924

Accuracy

96.3%

Counts

2 924 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.4%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (neg.f64 h)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (/.f64 d (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
	20.0%	(fma.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (.f64 h l))))
	31.4%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
	29.0%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	25.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))
	26.8%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	32.6%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	31.8%	(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	72.1%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (.f64 (*.f64 M D) #s(literal 1/2 binary64))) d) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	58.0%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d d)) (.f64 (.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	54.5%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (.f64 d (.f64 d #s(literal 4 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	71.5%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 M D) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 d (.f64 M D)) #s(literal 4 binary64)) d)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	67.7%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	54.5%	(.f64 (.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) D) (.f64 D (.f64 (.f64 (/.f64 M (*.f64 d d)) #s(literal 1/8 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	70.9%	(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (/.f64 (.f64 (/.f64 M d) D) d) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	55.5%	(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 M (.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) D)) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	37.4%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (*.f64 d #s(literal 2 binary64)) l)) #s(literal 1 binary64)))
	40.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	39.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	39.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	74.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) h))))
	51.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (+.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (neg.f64 l))) #s(literal 1 binary64)))
	17.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d)))))
	40.5%	(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	10.4%	(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	26.0%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))
	19.1%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
	17.9%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
	18.8%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
	19.1%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
	15.1%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
	18.1%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
	18.4%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
	18.4%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
	18.3%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
	17.9%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
	28.8%	#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	63.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 (neg.f64 h)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 3 binary64))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	32.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) l)) (sqrt.f64 (.f64 l l))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
	63.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
	36.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (.f64 h h)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	37.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (.f64 h h)) l) l) l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	15.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))))) h))
	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
	63.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) h))
	22.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	12.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	39.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	22.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	19.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
	19.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (*.f64 h l)) #s(literal 1/4 binary64))))
	22.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (*.f64 h l))))))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
✓	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	23.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
	25.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
	27.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
✓	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	30.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
	31.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) h) (neg.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))))

Compiler

Compiled 5 974 to 1 825 computations (69.5% saved)

regimes337.0ms (1.5%)

Memory

23.5MiB live, 737.7MiB allocated

Counts

152 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
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(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d (.f64 M D))))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))

Outputs

(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 M D)) d) (*.f64 D (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))

(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

Calls

7 calls:

55.0ms	D
52.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
47.0ms	h
43.0ms	l
43.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
84.5%	3	`d`
81.7%	2	`h`
81.7%	2	`l`
74.5%	1	`M`
74.5%	1	`D`
79.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
74.5%	1	`(*.f64 M D)`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes45.0ms (0.2%)

Memory

-2.9MiB live, 112.8MiB allocated

Counts

115 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
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Outputs

(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) h))

(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
84.0%	3	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes80.0ms (0.4%)

Memory

-5.8MiB live, 153.3MiB allocated

Counts

114 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) M) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
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(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) d) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 d #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (.f64 (*.f64 M D) #s(literal 1/2 binary64))) d) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 l l)) l))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 (/.f64 h l) (.f64 h h)) (.f64 l l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (/.f64 (.f64 h l) (.f64 d d)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64)) (.f64 M D)) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) h))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 M D) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 d (.f64 M D)) #s(literal 4 binary64)) d)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (.f64 h h)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (*.f64 d #s(literal 2 binary64)) l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 h l) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (*.f64 h h)) l) l) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (.f64 h h)) l) l) l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 h (.f64 h h)))) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))))) h))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) #s(approx (sqrt (/ ( d d) (* h l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) l)) (sqrt.f64 (.f64 l l))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (*.f64 h l)) #s(literal 1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

Outputs

(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

Calls

2 calls:

37.0ms	d
33.0ms	l

Results

Accuracy	Segments	Branch
81.7%	2	`l`
81.7%	2	`d`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes108.0ms (0.5%)

Memory

17.0MiB live, 175.1MiB allocated

Counts

112 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
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(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (.f64 h h)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (*.f64 d #s(literal 2 binary64)) l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 h l) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (*.f64 h h)) l) l) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (.f64 h h)) l) l) l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 h (.f64 h h)))) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))))) h))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) #s(approx (sqrt (/ ( d d) (* h l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) l)) (sqrt.f64 (.f64 l l))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (*.f64 h l)) #s(literal 1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

Outputs

(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h))))

(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

Calls

3 calls:

36.0ms	h
33.0ms	d
32.0ms	l

Results

Accuracy	Segments	Branch
78.4%	2	`d`
78.4%	2	`h`
78.4%	2	`l`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes129.0ms (0.6%)

Memory

4.8MiB live, 213.4MiB allocated

Counts

111 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
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#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
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(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))))) h))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) l)) (sqrt.f64 (.f64 l l))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (*.f64 h l)) #s(literal 1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 1/4 binary64))))
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Outputs

(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))

#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d))))))

Calls

4 calls:

32.0ms	l
32.0ms	d
31.0ms	h
27.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
79.1%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
79.0%	3	`h`
77.1%	2	`l`
77.0%	2	`d`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes35.0ms (0.2%)

Memory

-10.6MiB live, 70.2MiB allocated

Counts

108 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
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(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 M (.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) D)) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (.f64 d (.f64 d #s(literal 4 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (/.f64 (.f64 (/.f64 M d) D) d) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 (/.f64 (.f64 h h) (.f64 l (*.f64 l l))) h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) M) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) d) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 d #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (.f64 (*.f64 M D) #s(literal 1/2 binary64))) d) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 l l)) l))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 (/.f64 h l) (.f64 h h)) (.f64 l l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (/.f64 (.f64 h l) (.f64 d d)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64)) (.f64 M D)) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) h))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 M D) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 d (.f64 M D)) #s(literal 4 binary64)) d)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (.f64 h h)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (*.f64 d #s(literal 2 binary64)) l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 h l) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (*.f64 h h)) l) l) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (.f64 h h)) l) l) l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 h (.f64 h h)))) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))))) h))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) #s(approx (sqrt (/ ( d d) (* h l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) l)) (sqrt.f64 (.f64 l l))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (*.f64 h l)) #s(literal 1/4 binary64))))

Outputs

(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))

#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d))))))

Calls

1 calls:

27.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
79.1%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes150.0ms (0.7%)

Memory

-14.1MiB live, 264.2MiB allocated

Counts

91 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
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#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
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#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
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#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
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(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
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(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) h) (neg.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(fma.f64 (.f64 (neg.f64 (/.f64 (.f64 h d) (.f64 l (sqrt.f64 (.f64 h l))))) (.f64 M D)) (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) D) (.f64 D (.f64 (.f64 (/.f64 M (*.f64 d d)) #s(literal 1/8 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d d)) (.f64 (.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (+.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (neg.f64 l))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(fma.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (.f64 h l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) h) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (neg.f64 l))) (/.f64 d (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (neg.f64 h)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (/.f64 d (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (*.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 M (.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) D)) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (.f64 d (.f64 d #s(literal 4 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (/.f64 (.f64 (/.f64 M d) D) d) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 (/.f64 (.f64 h h) (.f64 l (*.f64 l l))) h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) M) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) d) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 d #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (.f64 (*.f64 M D) #s(literal 1/2 binary64))) d) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 l l)) l))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 (/.f64 h l) (.f64 h h)) (.f64 l l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (/.f64 (.f64 h l) (.f64 d d)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64)) (.f64 M D)) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))

Outputs

(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) d) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))

#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d))))))

Calls

4 calls:

65.0ms	h
27.0ms	l
25.0ms	d
23.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
72.1%	1	`d`
74.7%	2	`l`
74.4%	2	`h`
78.0%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes143.0ms (0.7%)

Memory

-34.9MiB live, 201.9MiB allocated

Counts

85 → 3

Calls

Call 1

Inputs
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 (/.f64 (.f64 h h) (.f64 l (*.f64 l l))) h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) M) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) d) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 d #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (.f64 (*.f64 M D) #s(literal 1/2 binary64))) d) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 l l)) l))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))

Outputs

(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) d) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))

#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))

Calls

4 calls:

59.0ms	M
33.0ms	D
23.0ms	(*.f64 M D)
22.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
72.1%	1	`M`
72.1%	1	`D`
72.1%	1	`(*.f64 M D)`
77.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes27.0ms (0.1%)

Memory

27.8MiB live, 65.6MiB allocated

Counts

84 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) h) (neg.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(fma.f64 (.f64 (neg.f64 (/.f64 (.f64 h d) (.f64 l (sqrt.f64 (.f64 h l))))) (.f64 M D)) (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) D) (.f64 D (.f64 (.f64 (/.f64 M (*.f64 d d)) #s(literal 1/8 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d d)) (.f64 (.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (+.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (neg.f64 l))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(fma.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (.f64 h l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) h) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (neg.f64 l))) (/.f64 d (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (neg.f64 h)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (/.f64 d (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (*.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 M (.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) D)) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (.f64 d (.f64 d #s(literal 4 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (/.f64 (.f64 (/.f64 M d) D) d) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 (/.f64 (.f64 h h) (.f64 l (*.f64 l l))) h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) M) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) d) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 d #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (.f64 (*.f64 M D) #s(literal 1/2 binary64))) d) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

Outputs

(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) d) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

1 calls:

21.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
77.2%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes57.0ms (0.3%)

Memory

-23.6MiB live, 132.3MiB allocated

Counts

83 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
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#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) h) (neg.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(fma.f64 (.f64 (neg.f64 (/.f64 (.f64 h d) (.f64 l (sqrt.f64 (.f64 h l))))) (.f64 M D)) (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) D) (.f64 D (.f64 (.f64 (/.f64 M (*.f64 d d)) #s(literal 1/8 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d d)) (.f64 (.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (+.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (neg.f64 l))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(fma.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (.f64 h l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) h) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (neg.f64 l))) (/.f64 d (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (neg.f64 h)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (/.f64 d (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (*.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 M (.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) D)) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (.f64 d (.f64 d #s(literal 4 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (/.f64 (.f64 (/.f64 M d) D) d) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 (/.f64 (.f64 h h) (.f64 l (*.f64 l l))) h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) M) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) d) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 d #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Outputs

(*.f64 (*.f64 (fma.f64 (*.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 (/.f64 M d) D) d) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

2 calls:

24.0ms

22.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
73.9%	2	`l`
76.0%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes245.0ms (1.1%)

Memory

-1.9MiB live, 355.3MiB allocated

Counts

74 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) h) (neg.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(fma.f64 (.f64 (neg.f64 (/.f64 (.f64 h d) (.f64 l (sqrt.f64 (.f64 h l))))) (.f64 M D)) (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) D) (.f64 D (.f64 (.f64 (/.f64 M (*.f64 d d)) #s(literal 1/8 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d d)) (.f64 (.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (+.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (neg.f64 l))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(fma.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (/.f64 (/.f64 (.f64 h d) (.f64 (neg.f64 l) (sqrt.f64 (.f64 h l)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 d (sqrt.f64 (.f64 h l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) h) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (neg.f64 l))) (/.f64 d (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (neg.f64 h)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (/.f64 d (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (*.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 M (.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) D)) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (.f64 d (.f64 d #s(literal 4 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

Outputs
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d d)) (.f64 (.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

7 calls:

52.0ms	(*.f64 M D)
38.0ms	M
36.0ms	D
24.0ms	h
23.0ms	l

Results

Accuracy	Segments	Branch
61.1%	2	`M`
69.1%	5	`d`
63.7%	2	`D`
63.5%	2	`(*.f64 M D)`
67.2%	4	`l`
63.5%	3	`h`
68.6%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes34.0ms (0.2%)

Memory

-2.6MiB live, 44.9MiB allocated

Counts

65 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) h) (neg.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(fma.f64 (.f64 (neg.f64 (/.f64 (.f64 h d) (.f64 l (sqrt.f64 (.f64 h l))))) (.f64 M D)) (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) D) (.f64 D (.f64 (.f64 (/.f64 M (*.f64 d d)) #s(literal 1/8 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

Outputs
(.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

1 calls:

29.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
67.9%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes95.0ms (0.4%)

Memory

-3.3MiB live, 112.3MiB allocated

Counts

63 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) h) (neg.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(fma.f64 (.f64 (neg.f64 (/.f64 (.f64 h d) (.f64 l (sqrt.f64 (.f64 h l))))) (.f64 M D)) (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))

Outputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

3 calls:

34.0ms

21.0ms

16.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
66.5%	4	`l`
68.1%	5	`d`
66.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes324.0ms (1.5%)

Memory

5.0MiB live, 286.0MiB allocated

Counts

62 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) h) (neg.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(fma.f64 (.f64 (neg.f64 (/.f64 (.f64 h d) (.f64 l (sqrt.f64 (.f64 h l))))) (.f64 M D)) (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))

Outputs
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))

Calls

7 calls:

54.0ms	h
54.0ms	M
47.0ms	l
37.0ms	D
36.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
52.8%	2	`M`
61.5%	4	`h`
63.7%	4	`l`
64.7%	5	`d`
53.8%	3	`(*.f64 M D)`
51.9%	3	`D`
63.3%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes83.0ms (0.4%)

Memory

19.5MiB live, 58.6MiB allocated

Counts

56 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) h) (neg.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))

Calls

2 calls:

63.0ms	d
16.0ms	l

Results

Accuracy	Segments	Branch
62.0%	4	`d`
62.6%	4	`l`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes87.0ms (0.4%)

Memory

-12.9MiB live, 66.3MiB allocated

Counts

55 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) h) (neg.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

2 calls:

51.0ms	d
33.0ms	l

Results

Accuracy	Segments	Branch
62.0%	4	`d`
61.0%	4	`l`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes41.0ms (0.2%)

Memory

-7.9MiB live, 30.7MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 D (.f64 (.f64 M D) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal 1/2 binary64)) l))) (.f64 d d))) d) (sqrt.f64 (*.f64 h l)))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))

#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) D) (*.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (*.f64 l l)))))

(/.f64 (*.f64 (fma.f64 (*.f64 D (*.f64 M (*.f64 (*.f64 D (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
60.4%	3	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes17.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

49 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) d) (sqrt.f64 (.f64 h l)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 (.f64 D (/.f64 M (.f64 d d))) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
61.9%	4	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes47.0ms (0.2%)

Memory

4.0MiB live, 41.5MiB allocated

Counts

47 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
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#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (.f64 M (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))

Calls

2 calls:

32.0ms

12.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
59.5%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
61.6%	4	`d`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes85.0ms (0.4%)

Memory

3.6MiB live, 92.2MiB allocated

Counts

46 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (*.f64 M D)) D)) #s(literal 1/8 binary64)) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M (.f64 D D)) (*.f64 M #s(literal 1/8 binary64)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (.f64 l l))))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l)))))

Outputs
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

4 calls:

36.0ms	d
21.0ms	l
13.0ms	h
12.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
59.5%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
52.9%	4	`l`
50.3%	4	`h`
55.4%	4	`d`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes14.0ms (0.1%)

Memory

-1.1MiB live, 37.4MiB allocated

Counts

36 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d #s(literal 8 binary64))))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

1 calls:

9.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
59.1%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes14.0ms (0.1%)

Memory

-6.5MiB live, 30.1MiB allocated

Counts

33 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M (.f64 D D)) (*.f64 d #s(literal 8 binary64))) M)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

1 calls:

11.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
58.7%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes15.0ms (0.1%)

Memory

-14.8MiB live, 28.0MiB allocated

Counts

31 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) d) M) (.f64 M (*.f64 D D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

1 calls:

13.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
58.7%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes10.0ms (0%)

Memory

26.0MiB live, 26.0MiB allocated

Counts

30 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 M (.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

1 calls:

8.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
56.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes55.0ms (0.2%)

Memory

-4.2MiB live, 109.5MiB allocated

Counts

27 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (/.f64 d (sqrt.f64 l)))))

Outputs
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

6 calls:

10.0ms	D
9.0ms	M
8.0ms	l
8.0ms	d
8.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
47.0%	2	`l`
40.5%	1	`D`
45.5%	2	`d`
45.7%	2	`(*.f64 M D)`
45.3%	2	`M`
51.5%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-27.5MiB live, 16.0MiB allocated

Counts

25 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* D (* M (* (* D (/ M (* d d))) 1/8))) (/ (neg h) l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

1 calls:

9.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
50.9%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes14.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 h l) (.f64 d d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

Calls

2 calls:

7.0ms

6.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
45.8%	2	`h`
48.7%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes23.0ms (0.1%)

Memory

-15.7MiB live, 23.7MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* M (* M D)) d) (* D (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (* d (sqrt (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))

Calls

2 calls:

17.0ms

5.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
47.0%	2	`l`
45.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes15.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (+ (* (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Calls

5 calls:

3.0ms	l
3.0ms	h
3.0ms	d
3.0ms	M
3.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
33.1%	2	`M`
44.4%	2	`d`
33.8%	2	`(*.f64 M D)`
43.6%	2	`h`
45.1%	2	`l`

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes38.0ms (0.2%)

Memory

-13.8MiB live, 25.6MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Calls

5 calls:

28.0ms	l
2.0ms	d
2.0ms	h
2.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms	D

Results

Accuracy	Segments	Branch
32.2%	2	`D`
37.1%	2	`h`
35.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
38.3%	2	`d`
37.5%	2	`l`

Compiler

Compiled 64 to 42 computations (34.4% saved)

regimes11.0ms (0%)

Memory

-12.7MiB live, 26.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Calls

7 calls:

2.0ms	(*.f64 M D)
1.0ms	d
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	D
1.0ms	M

Results

Accuracy	Segments	Branch
24.8%	1	`D`
24.8%	1	`M`
24.8%	1	`(*.f64 M D)`
24.8%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
24.8%	1	`h`
24.8%	1	`l`
24.8%	1	`d`

Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch101.0ms (0.5%)

Memory

26.7MiB live, 178.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	5.1157135363510817e-228	2.875077349810651e-226
51.0ms	-2.758375864498089e-269	-4.2855617753187224e-275

Samples

42.0ms	256×	0	valid
25.0ms	209×	0	invalid

Compiler

Compiled 1 245 to 784 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 17.0ms (33.1% of total)

ival-mult: 15.0ms (29.2% of total)

ival-pow: 12.0ms (23.4% of total)

ival-pow2: 4.0ms (7.8% of total)

ival-sub: 2.0ms (3.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Memory

-33.3MiB live, 13.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.1157135363510817e-228	2.875077349810651e-226
1.0ms	-2.758375864498089e-269	-4.2855617753187224e-275

Samples

10.0ms	27×	0	invalid
5.0ms	32×	0	valid

Compiler

Compiled 1 245 to 784 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (63.1% of total)

ival-div: 2.0ms (15.8% of total)

ival-pow: 1.0ms (7.9% of total)

ival-pow2: 1.0ms (7.9% of total)

ival-sub: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch98.0ms (0.4%)

Memory

16.1MiB live, 127.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
73.0ms	-5.590293522935263e-307	1.998386332898487e-300

Samples

32.0ms	170×	0	invalid
28.0ms	160×	0	valid

Compiler

Compiled 903 to 590 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 13.0ms (27.5% of total)

ival-pow: 13.0ms (27.5% of total)

ival-mult: 12.0ms (25.4% of total)

ival-pow2: 7.0ms (14.8% of total)

ival-sub: 2.0ms (4.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch60.0ms (0.3%)

Memory

20.6MiB live, 68.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
54.0ms	2.2814876466336477e-296	2.0039556026281306e-293

Samples

29.0ms	128×	0	valid
16.0ms	135×	0	invalid

Compiler

Compiled 691 to 446 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 18.0ms (49.6% of total)

ival-mult: 8.0ms (22% of total)

ival-pow: 6.0ms (16.5% of total)

ival-pow2: 2.0ms (5.5% of total)

ival-sub: 1.0ms (2.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0%)

Memory

-35.4MiB live, 3.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181
0.0ms	-6.400334788137668e-91	-3.7787705497315747e-166

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181
0.0ms	-6.400334788137668e-91	-3.7787705497315747e-166

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181
0.0ms	-6.400334788137668e-91	-3.7787705497315747e-166

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch192.0ms (0.9%)

Memory

7.2MiB live, 274.6MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	1.1811573927153853e+207	1.9044586942520413e+209
62.0ms	-1.709993274388644e-286	-4.235784217178682e-290
66.0ms	-1.2949411294179563e-57	-6.168319208974761e-58

Samples

98.0ms	342×	0	invalid
52.0ms	320×	0	valid

Compiler

Compiled 1 165 to 764 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-div: 61.0ms (52.8% of total)

ival-mult: 24.0ms (20.8% of total)

ival-pow: 20.0ms (17.3% of total)

ival-pow2: 7.0ms (6.1% of total)

ival-sub: 3.0ms (2.6% of total)

ival-true: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-assert: 0.0ms (0% of total)

bsearch53.0ms (0.2%)

Memory

37.0MiB live, 107.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1811573927153853e+207	1.9044586942520413e+209
1.0ms	-1.709993274388644e-286	-4.235784217178682e-290
47.0ms	-2.0138496562126975e-55	-1.2949411294179563e-57

Samples

23.0ms	112×	0	valid
15.0ms	109×	0	invalid

Compiler

Compiled 1 293 to 846 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-pow: 10.0ms (35% of total)

ival-div: 8.0ms (28% of total)

ival-mult: 7.0ms (24.5% of total)

ival-pow2: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch226.0ms (1%)

Memory

-49.7MiB live, 284.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
78.0ms	-1.0670672861830889e-304	5.526258954055376e-305
65.0ms	-1.1875464921337633e-130	-2.37230030492105e-137
63.0ms	-2.000541758010969e+40	-4.6954603941899074e+33

Samples

87.0ms	432×	0	valid
76.0ms	414×	0	invalid

Compiler

Compiled 1 609 to 1 047 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 51.0ms (38.2% of total)

ival-div: 32.0ms (24% of total)

ival-pow: 32.0ms (24% of total)

ival-pow2: 13.0ms (9.7% of total)

ival-sub: 4.0ms (3% of total)

ival-true: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.1%)

Memory

30.2MiB live, 67.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.0670672861830889e-304	5.526258954055376e-305
28.0ms	-1.0343362627993409e-71	-5.013855729950623e-72

Samples

13.0ms	80×	0	valid
9.0ms	72×	0	invalid

Compiler

Compiled 803 to 531 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 5.0ms (31% of total)

ival-mult: 5.0ms (31% of total)

ival-pow: 3.0ms (18.6% of total)

ival-sub: 1.0ms (6.2% of total)

ival-pow2: 1.0ms (6.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.2%)

Memory

4.7MiB live, 82.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	1.5877232682999575e-172	1.5255756527086133e-170
1.0ms	-1.0670672861830889e-304	5.526258954055376e-305
1.0ms	-1.0343362627993409e-71	-5.013855729950623e-72

Samples

23.0ms	112×	0	valid
17.0ms	121×	0	invalid

Compiler

Compiled 1 171 to 761 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-pow: 11.0ms (34.1% of total)

ival-mult: 10.0ms (31% of total)

ival-div: 8.0ms (24.8% of total)

ival-pow2: 2.0ms (6.2% of total)

ival-sub: 1.0ms (3.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.5877232682999575e-172	1.5255756527086133e-170
1.0ms	-1.0670672861830889e-304	5.526258954055376e-305
1.0ms	-1.0343362627993409e-71	-5.013855729950623e-72

Compiler

Compiled 1 171 to 761 computations (35% saved)

bsearch3.0ms (0%)

Memory

-35.3MiB live, 2.1MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181
0.0ms	0.0	1.8077714893947e-310
0.0ms	-5.0221278684239673e+275	-2.7036387426365892e+264

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181
0.0ms	0.0	1.8077714893947e-310
0.0ms	-5.0221278684239673e+275	-2.7036387426365892e+264

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181
0.0ms	0.0	1.8077714893947e-310
0.0ms	-5.0221278684239673e+275	-2.7036387426365892e+264

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181
0.0ms	0.0	1.8077714893947e-310
0.0ms	-5.0221278684239673e+275	-2.7036387426365892e+264

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181
0.0ms	-3.7787705497315747e-166	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181
0.0ms	-3.7787705497315747e-166	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.2605890070169905e+170	1.7475630843984765e+181
0.0ms	-3.7787705497315747e-166	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.7787705497315747e-166	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch69.0ms (0.3%)

Memory

-0.2MiB live, 121.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
62.0ms	2.308491273810039e-256	3.1800435941166755e-246

Samples

30.0ms	160×	0	valid
22.0ms	143×	0	invalid

Compiler

Compiled 343 to 250 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 16.0ms (39.7% of total)

ival-mult: 10.0ms (24.8% of total)

ival-pow: 9.0ms (22.3% of total)

ival-pow2: 3.0ms (7.4% of total)

ival-sub: 1.0ms (2.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.308491273810039e-256	3.1800435941166755e-246

Compiler

Compiled 333 to 240 computations (27.9% saved)

bsearch44.0ms (0.2%)

Memory

14.6MiB live, 90.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	-6.768308882980656e-193	-1.7122739743780245e-194

Samples

18.0ms	112×	0	valid
12.0ms	103×	0	invalid

Compiler

Compiled 239 to 163 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 8.0ms (35.1% of total)

ival-mult: 7.0ms (30.7% of total)

ival-pow: 5.0ms (22% of total)

ival-pow2: 2.0ms (8.8% of total)

ival-sub: 1.0ms (4.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify85.0ms (0.4%)

Memory

1.8MiB live, 96.5MiB allocated

Algorithm

1×	egg-herbie

Rules

302×	`*-commutative_binary64`
224×	`neg-mul-1_binary64`
166×	`unsub-neg_binary64`
140×	`distribute-rgt-neg-in_binary64`
138×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	7345
1	541	7345
2	621	7345
3	698	7345
4	764	7345
5	808	7345
6	970	7345
7	1206	7345
8	1222	7345
9	1225	7345

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -2379227053564453/19033816428515623203815199976318727169680130581240249075913879799244040411653175981378154425550801287549423664514470055045818691142974793059722631438110651210022026757727486386466386045879011031939061706014098396237667183448036865128410866436462823462554177349813042084144196464827957248 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal 7254799702973281/426752923704310673541110514606160499017264532628218122265360499952898383220328452577371660855779474607547514277979727388536883305863639365143254787349173122950090085088896931741637010298356097582653761032696742526828207874398493522634488152064 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))))
(if (<=.f64 d #s(literal -2379227053564453/19033816428515623203815199976318727169680130581240249075913879799244040411653175981378154425550801287549423664514470055045818691142974793059722631438110651210022026757727486386466386045879011031939061706014098396237667183448036865128410866436462823462554177349813042084144196464827957248 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal 1600323463891165/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) h)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))))
(if (<=.f64 l #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))))
(if (<=.f64 d #s(literal 6811099749366343/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) h)))) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 499999999999999976986103364828435105866493856869550354915370776598145356642472906604169238853083206186863000925026831505293584046586944536955141361661791768572429254787072 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal +inf.0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)) #s(approx (+ ( (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4)) (* (neg (/ h l)) (sqrt (/ (* d d) (* h l))))) (sqrt (/ (* d d) (* h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d))))))))
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Outputs
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(if (<=.f64 d #s(literal -1695160983897425/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 d #s(literal -1695160983897425/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

soundness2.9s (13%)

Memory

-5.9MiB live, 2 662.2MiB allocated

Rules

7 590×	`lower-*.f64`
7 590×	`lower-*.f32`
7 446×	`lower-*.f32`
7 434×	`lower-*.f64`
6 660×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	16323
1	565	15626
2	1914	15560
3	3465	15219
4	7525	15219
0	8594	14940
0	190	17475
1	556	16898
2	1976	16808
3	3873	16403
4	7215	16403
0	8228	16124
0	86	400
0	133	375
1	466	330
2	4086	315
0	8520	307
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125
0	84	448
0	143	391
1	500	350
2	4188	333
0	8965	329
0	255	16178
1	737	15746
2	2666	15692
3	6419	15647
0	8355	15302
0	92	478
0	142	404
1	495	373
2	4044	347
0	8694	339
0	22	64
0	38	60
1	124	59
2	828	59
0	8726	58

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 9 701 to 3 102 computations (68% saved)

preprocess245.0ms (1.1%)

Memory

10.3MiB live, 357.6MiB allocated

Remove

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 8 948 to 1 196 computations (86.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated