Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze476.0ms (3.2%)

Memory

25.5MiB live, 568.2MiB 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)

sample5.9s (39.1%)

Memory

-55.7MiB live, 6 258.9MiB allocated

Samples

2.6s	12 911×	0	invalid
1.9s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-div: 1.3s (38% of total)

ival-mult: 931.0ms (28.1% of total)

ival-pow: 685.0ms (20.7% of total)

ival-pow2: 280.0ms (8.5% of total)

ival-sub: 110.0ms (3.3% 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

explain480.0ms (3.2%)

Memory

2.6MiB live, 674.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
61	-	4	(8.68491275021385e-58 2.4396701418176374e+253 3.69519804572068e+222 -3.835267948181333e+42 2.9350688283193213e-84)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
52	-	2	(1.5151144483014254e-143 3.367956431108107e+83 5.303721191985956e+169 -9.019833981982054e-167 8.318904733068865e+270)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
41	-	0	-	`(.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))`
21	-	1	(6.858074398131909e-91 1.4854616208046627e+244 4.4284300662755033e+204 3.096186738422565e+184 -1.268919428175762e-286)	`(.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))))`
20	-	0	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
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	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
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	-	`M`
0	-	0	-	`h`
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 h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	31	0
↳	`(/.f64 d h)`	underflow	31
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	28	0
↳	`(/.f64 d l)`	overflow	28
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	26	0
↳	`(/.f64 d h)`	overflow	26
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	22	0
↳	`(/.f64 d l)`	underflow	22
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	14	0
↳	`(*.f64 M D)`	overflow	35
`*.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**	11	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))`	*no**	8	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))))`	*uo**	8	0
↳	`(/.f64 d h)`	underflow	31
↳	`(/.f64 d l)`	underflow	22
↳	`(*.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	16
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	85
↳	`(.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	85
↳	`(/.f64 h l)`	overflow	33
↳	`(-.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	88
↳	`(.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	88
↳	`(*.f64 M D)`	overflow	35
↳	`(/.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))`	*ou**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	85
↳	`(.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	85
↳	`(*.f64 M D)`	overflow	35
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	44
↳	`(/.f64 h l)`	underflow	22
`*.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**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	74
↳	`(.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	74
↳	`(*.f64 M D)`	underflow	22
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	38
↳	`(/.f64 h l)`	overflow	33
`*.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**	1	0

Confusion

	Predicted +	Predicted -
+	81	5
-	38	132

Precision

0.680672268907563

Recall

0.9418604651162791

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	5
-	38	0	132

Precision?

0.680672268907563

Recall?

0.9418604651162791

Freqs

test

number	freq
0	137
1	89
2	23
3	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

106.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 26.0ms (33.8% of total)

ival-pow: 20.0ms (26% of total)

ival-div: 19.0ms (24.7% of total)

ival-pow2: 8.0ms (10.4% of total)

ival-sub: 3.0ms (3.9% of total)

ival-true: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

preprocess201.0ms (1.3%)

Memory

11.5MiB live, 287.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	2092	548
3	4738	548
0	22	29
0	38	27
1	67	27
2	182	27
3	1068	27
4	3452	27
5	6729	27
0	8398	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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.6%	(.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 #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

▶

67.6%

(*.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 #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 35 to 22 computations (37.1% saved)

simplify147.0ms (1%)

Memory

-26.4MiB live, 132.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	182	126
3	1068	126
4	3452	126
5	6729	126
0	8398	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 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d 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))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(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 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #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 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)))
(.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 (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

localize98.0ms (0.7%)

Memory

-8.7MiB live, 161.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	4.924705954879811	(.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	9.748879101727722	(.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	12.111217389917558	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	13.856028745910866	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

83.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 39.0ms (61.5% of total)

ival-mult: 10.0ms (15.8% of total)

ival-pow: 10.0ms (15.8% of total)

ival-pow2: 3.0ms (4.7% of total)

ival-sub: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.3%)

Memory

19.9MiB live, 101.8MiB allocated

Counts

6 → 32

Calls

Call 1

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

Calls

15 calls:

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

simplify115.0ms (0.8%)

Memory

13.6MiB live, 171.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	635
1	413	593
2	1514	584
3	4190	568
4	7941	568
0	8163	552

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

rewrite167.0ms (1.1%)

Memory

14.4MiB live, 200.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
0	38	68
1	124	67
2	836	67
0	8769	65

Stop Event

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

Counts

6 → 454

Calls

Call 1

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

eval83.0ms (0.5%)

Memory: -18.8MiB live, 109.4MiB allocated
Compiler: Compiled 20 228 to 1 521 computations (92.5% saved)

prune42.0ms (0.3%)

Memory

16.0MiB live, 53.1MiB allocated

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	443	33	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	444	33	477

Accuracy

94.7%

Counts

477 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.6%	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	39.9%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	66.5%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	67.5%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
▶	39.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	40.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	34.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	35.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	51.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	67.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	67.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	66.4%	(.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)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	53.1%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
	62.9%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) d)))
▶	57.1%	(.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 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	60.5%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) d) (.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
▶	68.6%	(.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 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	62.8%	(.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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	28.0%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
	67.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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))))
	67.6%	(.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 #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))))
	35.5%	(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
	40.3%	(.f64 (.f64 (.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 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))))
	38.8%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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))))
	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)))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
▶	39.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	15.6%	#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 M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	18.0%	#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 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) 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 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	25.8%	#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 l h))) d))
	22.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 604 to 1 800 computations (30.9% saved)

simplify130.0ms (0.9%)

Memory

-3.5MiB live, 113.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	1	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	2	(/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d)))
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
cost-diff	0	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 l h))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
cost-diff	1	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	2	(.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64)))
cost-diff	2	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	704
0	150	688
1	285	676
2	862	662
3	5312	662
0	8124	658

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

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

localize272.0ms (1.8%)

Memory

-11.0MiB live, 339.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.347454703566761	(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 D M))
accuracy	6.090593911779412	(/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (*.f64 D M))
accuracy	6.835346558572651	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.931664149766911	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	1.420856378821988	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
accuracy	2.2128888656862187	(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D))
accuracy	2.9371031325397396	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	6.835346558572651	(sqrt.f64 (/.f64 d l))
accuracy	6.152653711546556	(sqrt.f64 (/.f64 h l))
accuracy	6.424419009767308	(fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy	6.917651791813743	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
accuracy	7.463560696212306	(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
accuracy	0.1328125	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.3561887290572676	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	6.286733621546111	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	28.11238651966068	#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 l h))) d))
accuracy	2.2025385340319517	(.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 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
accuracy	2.4252219359424148	(/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l)
accuracy	6.835346558572651	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.931664149766911	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

125.0ms	124×	0	valid
78.0ms	132×	0	invalid

Compiler

Compiled 716 to 84 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 50.0ms (39.6% of total)

ival-div: 27.0ms (21.4% of total)

ival-pow: 20.0ms (15.8% of total)

ival-sqrt: 16.0ms (12.7% of total)

ival-sub: 4.0ms (3.2% of total)

ival-pow2: 3.0ms (2.4% of total)

ival-add: 2.0ms (1.6% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series199.0ms (1.3%)

Memory

19.6MiB live, 344.4MiB allocated

Counts

26 → 92

Calls

Call 1

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

Outputs
(* 1/4 (/ (* D (* M h)) d))
(sqrt (/ d 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)
(* d (sqrt (/ 1 (* h l))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)
(* -1/8 (/ (* (pow D 2) (pow M 2)) d))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (sqrt (/ 1 (pow l 3))))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 l)))) d)
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (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)) l)) (pow d 2)) (pow d 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(sqrt (/ d l))
(* 1/2 (/ (* D M) (* d l)))
(* 2 (/ d (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (sqrt (/ h l)))
(* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -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 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (/ 1 (* h l)))
(/ 1 (* h l))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ h l))
(* 1/2 (/ (* D (* M h)) l))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* (pow h 2) (+ (* -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) (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) h) (sqrt (/ 1 l)))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -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)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* 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 (/ (pow h 3) (pow l 3)))))
(* (pow h 2) (+ (* -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 (sqrt -1)) h) (sqrt (/ 1 l)))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 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 (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt l))) (* (* d (sqrt -1)) (sqrt (pow l 3)))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 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))))) (* d (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 (pow (sqrt -1) 2)) (sqrt (/ h l)))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))
(* (* d (pow (sqrt -1) 3)) (sqrt (/ 1 l)))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 3)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (pow (sqrt -1) 3)) (sqrt (/ 1 l))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(* (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 (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow M 2)) (sqrt (/ 1 l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* 1/4 D)
(* (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 (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow D 2)) (sqrt (/ 1 l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))

Calls

15 calls:

Time	Variable		Point	Expression
41.0ms	h	@	inf	((/ 1 2) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (* 1/2 (* D 1/2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (pow (/ d l) (/ 1 2)) (/ (* (* (/ D d) M) 1/2) l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d l)) (* (/ d M) (/ 2 D)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
24.0ms	M	@	inf	((/ 1 2) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (* 1/2 (* D 1/2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (pow (/ d l) (/ 1 2)) (/ (* (* (/ D d) M) 1/2) l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d l)) (* (/ d M) (/ 2 D)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
18.0ms	d	@	0	((/ 1 2) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (* 1/2 (* D 1/2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (pow (/ d l) (/ 1 2)) (/ (* (* (/ D d) M) 1/2) l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d l)) (* (/ d M) (/ 2 D)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
12.0ms	M	@	-inf	((/ 1 2) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (* 1/2 (* D 1/2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (pow (/ d l) (/ 1 2)) (/ (* (* (/ D d) M) 1/2) l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d l)) (* (/ d M) (/ 2 D)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
12.0ms	M	@	0	((/ 1 2) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (* 1/2 (* D 1/2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (pow (/ d l) (/ 1 2)) (/ (* (* (/ D d) M) 1/2) l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d l)) (* (/ d M) (/ 2 D)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))

simplify194.0ms (1.3%)

Memory

-0.6MiB live, 186.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	2038
1	1094	1924
2	3973	1904
3	7937	1878
0	8100	1833

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 92

Calls

Call 1

Inputs
(* 1/4 (/ (* D (* M h)) d))
(sqrt (/ d 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)
(* d (sqrt (/ 1 (* h l))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)
(* -1/8 (/ (* (pow D 2) (pow M 2)) d))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (sqrt (/ 1 (pow l 3))))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 l)))) d)
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (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)) l)) (pow d 2)) (pow d 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(sqrt (/ d l))
(* 1/2 (/ (* D M) (* d l)))
(* 2 (/ d (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (sqrt (/ h l)))
(* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -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 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (/ 1 (* h l)))
(/ 1 (* h l))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ h l))
(* 1/2 (/ (* D (* M h)) l))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* (pow h 2) (+ (* -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) (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) h) (sqrt (/ 1 l)))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -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)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* 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 (/ (pow h 3) (pow l 3)))))
(* (pow h 2) (+ (* -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 (sqrt -1)) h) (sqrt (/ 1 l)))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 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 (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt l))) (* (* d (sqrt -1)) (sqrt (pow l 3)))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 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))))) (* d (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 (pow (sqrt -1) 2)) (sqrt (/ h l)))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))
(* (* d (pow (sqrt -1) 3)) (sqrt (/ 1 l)))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 3)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (pow (sqrt -1) 3)) (sqrt (/ 1 l))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(* (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 (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow M 2)) (sqrt (/ 1 l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* 1/4 D)
(* (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 (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow D 2)) (sqrt (/ 1 l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))

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

rewrite231.0ms (1.5%)

Memory

-13.6MiB live, 275.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	398
0	146	380
1	476	356
2	3580	348
0	11011	348

Stop Event

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

Counts

26 → 721

Calls

Call 1

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

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

eval100.0ms (0.7%)

Memory: 18.8MiB live, 205.1MiB allocated
Compiler: Compiled 38 449 to 3 642 computations (90.5% saved)

prune79.0ms (0.5%)

Memory

-3.7MiB live, 194.1MiB allocated

Pruning

51 alts after pruning (50 fresh and 1 done)

	Pruned	Kept	Total
New	767	38	805
Fresh	16	12	28
Picked	4	1	5
Done	0	0	0
Total	787	51	838

Accuracy

96.3%

Counts

838 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.6%	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	66.5%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	40.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	39.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 (/.f64 D d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	28.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 d M) #s(literal -2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 D D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	39.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	40.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	34.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	35.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	27.6%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	19.7%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	19.2%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	6.7%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	51.0%	(.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	51.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	65.7%	(.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	67.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	67.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	61.3%	(.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 h l) (/.f64 #s(literal 4 binary64) D)) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d (/.f64 d M))))))
	50.9%	(.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 h l) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (pow.f64 (.f64 M D) #s(literal -1 binary64))))))
	63.1%	(.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 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (.f64 (/.f64 M d) (.f64 (.f64 #s(literal 1/4 binary64) D) h)))))
	66.7%	(.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 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	54.4%	(.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 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) #s(literal 4 binary64)) (/.f64 M (.f64 d d))) (.f64 M D))))
	28.0%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
	36.2%	(.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 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	31.2%	(.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 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	37.0%	(.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 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	57.1%	(.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 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	65.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	22.5%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	22.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	47.4%	#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 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (/.f64 (/.f64 h l) (sqrt.f64 (/.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	47.4%	#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 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	22.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) d)) h))
	15.6%	#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 M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
▶	48.8%	#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 (.f64 D (.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	61.3%	#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 (sqrt.f64 (/.f64 h l)) d (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d))) h))
	47.0%	#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 M (.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	35.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
▶	25.8%	#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 l h))))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	21.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (/.f64 h (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d)) #s(literal 2 binary64)) (.f64 (.f64 d d) (/.f64 h l)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) #s(literal -1 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)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
▶	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)))) (*.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l)) d))
	4.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	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 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	25.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
✓	25.8%	#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 l h))) d))
	24.5%	#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) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 (neg.f64 M) M) d)) #s(literal 1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))))

Compiler

Compiled 4 518 to 3 070 computations (32% saved)

simplify135.0ms (0.9%)

Memory

20.8MiB live, 140.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)))
cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
cost-diff	0	(/.f64 h l)
cost-diff	7	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
cost-diff	0	(.f64 D (.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (.f64 M M))))
cost-diff	0	(fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
cost-diff	0	(/.f64 (fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 D (.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
cost-diff	0	(pow.f64 h #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l))
cost-diff	0	(*.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l)) d)
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 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l)) d))
cost-diff	0	(*.f64 l h)
cost-diff	0	(sqrt.f64 (*.f64 l h))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 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 d (sqrt.f64 (*.f64 l h))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	516
0	107	510
1	192	503
2	460	503
3	1829	503
4	3870	503
5	7227	503
0	8172	500

Stop Event

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

Calls

Call 1

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

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

localize250.0ms (1.7%)

Memory

-22.0MiB live, 264.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.459044873921643	(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D))
accuracy	4.31445756757436	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
accuracy	6.295253317337553	(.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
accuracy	12.758603642584264	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy	6.367184218000697	(fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy	6.887505888755001	(.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (*.f64 M M)))
accuracy	6.952230649838416	(sqrt.f64 (/.f64 h l))
accuracy	7.157170147096181	(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
accuracy	0.0	(sqrt.f64 l)
accuracy	0.1171875	(*.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l)) d)
accuracy	0.1640625	(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l))
accuracy	16.88859561590803	#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 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l)) d))
accuracy	0.0	(*.f64 l h)
accuracy	0.1328125	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	8.891968590832496	(sqrt.f64 (*.f64 l h))
accuracy	16.88859561590803	#s(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 l h))))
accuracy	2.459044873921643	(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D))
accuracy	3.9010925918554644	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	5.275870831344906	(sqrt.f64 (/.f64 d l))
accuracy	6.924364596143957	(sqrt.f64 (/.f64 d h))

Samples

107.0ms	124×	0	invalid
71.0ms	132×	0	valid

Compiler

Compiled 499 to 65 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 44.0ms (37.4% of total)

ival-pow: 29.0ms (24.7% of total)

ival-div: 19.0ms (16.2% of total)

ival-sqrt: 17.0ms (14.5% of total)

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

ival-pow2: 3.0ms (2.6% of total)

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

exact: 1.0ms (0.9% of total)

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

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

series133.0ms (0.9%)

Memory

6.3MiB live, 160.1MiB allocated

Counts

28 → 86

Calls

Call 1

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

Outputs
(* -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)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (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)) l)) (pow d 2)) (pow d 2))
(* d (sqrt (/ 1 (* h l))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)
(* -1/8 (/ (* (pow D 2) (pow M 2)) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(sqrt (/ d h))
(sqrt (/ d l))
(* 2 (/ d (* D M)))
(* -1/8 (/ (* D (pow M 2)) d))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* d (sqrt (/ h l)))
(* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (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 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(* -1/2 (/ h l))
(sqrt (* h l))
(* h l)
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 h))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))
(/ h l)
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ h 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* (pow h 2) (+ (* -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)))))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 h)) (pow (sqrt -1) 2))
(* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* 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 (/ (pow h 3) (pow l 3)))))
(* (pow h 2) (+ (* -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) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 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)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))
(sqrt l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (* -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 (pow (sqrt -1) 2)) (sqrt (/ h l)))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))

Calls

15 calls:

Time	Variable		Point	Expression
30.0ms	d	@	-inf	((* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (pow h -1/2) (sqrt l)) d) (/ (pow h -1/2) (sqrt l)) (pow h -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* D (* (/ D d) (* -1/8 (* M M)))) (+ (* (/ h l) (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ h l) (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ d M) (/ 2 D)) (sqrt l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (* (/ D d) (* -1/8 (* M M))) (sqrt (* (/ (/ d l) h) d)))
11.0ms	M	@	0	((* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (pow h -1/2) (sqrt l)) d) (/ (pow h -1/2) (sqrt l)) (pow h -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* D (* (/ D d) (* -1/8 (* M M)))) (+ (* (/ h l) (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ h l) (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ d M) (/ 2 D)) (sqrt l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (* (/ D d) (* -1/8 (* M M))) (sqrt (* (/ (/ d l) h) d)))
9.0ms	h	@	-inf	((* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (pow h -1/2) (sqrt l)) d) (/ (pow h -1/2) (sqrt l)) (pow h -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* D (* (/ D d) (* -1/8 (* M M)))) (+ (* (/ h l) (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ h l) (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ d M) (/ 2 D)) (sqrt l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (* (/ D d) (* -1/8 (* M M))) (sqrt (* (/ (/ d l) h) d)))
8.0ms	l	@	-inf	((* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (pow h -1/2) (sqrt l)) d) (/ (pow h -1/2) (sqrt l)) (pow h -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* D (* (/ D d) (* -1/8 (* M M)))) (+ (* (/ h l) (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ h l) (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ d M) (/ 2 D)) (sqrt l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (* (/ D d) (* -1/8 (* M M))) (sqrt (* (/ (/ d l) h) d)))
8.0ms	D	@	inf	((* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (pow h -1/2) (sqrt l)) d) (/ (pow h -1/2) (sqrt l)) (pow h -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* D (* (/ D d) (* -1/8 (* M M)))) (+ (* (/ h l) (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ h l) (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ d M) (/ 2 D)) (sqrt l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (* (/ D d) (* -1/8 (* M M))) (sqrt (* (/ (/ d l) h) d)))

simplify142.0ms (0.9%)

Memory

-1.6MiB live, 184.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1652
1	876	1544
2	3082	1525
3	6578	1492
0	8446	1456

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 86

Calls

Call 1

Inputs
(* -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)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (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)) l)) (pow d 2)) (pow d 2))
(* d (sqrt (/ 1 (* h l))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)
(* -1/8 (/ (* (pow D 2) (pow M 2)) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(sqrt (/ d h))
(sqrt (/ d l))
(* 2 (/ d (* D M)))
(* -1/8 (/ (* D (pow M 2)) d))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* d (sqrt (/ h l)))
(* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (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 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(* -1/2 (/ h l))
(sqrt (* h l))
(* h l)
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 h))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))
(/ h l)
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ h 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* (pow h 2) (+ (* -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)))))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 h)) (pow (sqrt -1) 2))
(* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* 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 (/ (pow h 3) (pow l 3)))))
(* (pow h 2) (+ (* -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) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 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)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))
(sqrt l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (* -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 (pow (sqrt -1) 2)) (sqrt (/ h l)))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))

Outputs
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) l)) (sqrt.f64 (.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (.f64 d d))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) l)) (.f64 d d)) (.f64 d d))
(* d (sqrt (/ 1 (* h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)
(* -1/8 (/ (* (pow D 2) (pow M 2)) d))
(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (.f64 D D) d) d))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* 2 (/ d (* D M)))
(.f64 (/.f64 d (.f64 D M)) #s(literal 2 binary64))
(* -1/8 (/ (* D (pow M 2)) d))
(.f64 (/.f64 (.f64 (*.f64 D M) M) d) #s(literal -1/8 binary64))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d)
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 d h)))) d)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))
(* d (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) d)
(* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 h l))) d)
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(* -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)))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d)
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M l))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 d h)))) d)
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d)
(* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 h l))) d)
(* -1 (* d (sqrt (/ 1 (* h l)))))
(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (neg.f64 d))
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 d h))) h)
(* -1/2 (/ h l))
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 l h))
(* h l)
(*.f64 l h)
(sqrt (/ 1 (* h l)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(sqrt (/ 1 h))
(sqrt.f64 (/.f64 #s(literal 1 binary64) h))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))
(fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(/ h l)
(/.f64 h l)
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)))) h)
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))))) h)
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))
(* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(.f64 (.f64 h h) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) d)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) 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 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (neg.f64 D) (.f64 (.f64 D M) M))) (/.f64 #s(literal -1/8 binary64) d) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h)
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 d #s(literal 3 binary64)) h))) (neg.f64 (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64)))))) h)
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(fma.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 l h))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* (sqrt (/ 1 h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h)))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (.f64 D D) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))
(.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) d)))
(* (pow h 2) (+ (* -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 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h)))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (.f64 D D) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) (*.f64 h h))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h l)))))
(.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (.f64 D D) d)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h 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 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (.f64 (sqrt.f64 (.f64 l h)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)))) (*.f64 l l))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (.f64 D D) d) l) l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))
(/.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (.f64 (sqrt.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)))) (.f64 l l))
(sqrt l)
(sqrt.f64 l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
(+ (* -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)))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (.f64 D D) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
(+ (* 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)))))
(fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (.f64 D D) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))
(fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) #s(literal 1/8 binary64) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.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 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))
(fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h 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 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))
(fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))

rewrite201.0ms (1.3%)

Memory

-3.3MiB live, 320.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	399
0	107	377
1	363	369
2	2478	356
0	8915	356

Stop Event

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

Counts

28 → 1 148

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #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 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 h l)) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (pow.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 h l)) #s(literal 3 binary64)) (pow.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 h l)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 d l) h) d) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 d l) h) d)))) #s(literal -1 binary64)))
(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 d (sqrt.f64 (.f64 l h))))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 h l)) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (/.f64 d l) h) d)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 h l)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 d l) h) d) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (.f64 (/.f64 (/.f64 d l) h) d)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 h l)) #s(literal 3 binary64)) (pow.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 4 binary64)) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (/.f64 d l) h) d) (pow.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 h l)) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (/.f64 d l) h) d))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 d (sqrt.f64 (.f64 l h))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 h l)) #s(literal 3 binary64)) (pow.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 h l)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 d l) h) d) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (.f64 (/.f64 (/.f64 d l) h) d)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 d (sqrt.f64 (.f64 l h)))))) (.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 d (sqrt.f64 (.f64 l h))))) (.f64 (/.f64 (/.f64 d l) h) d))) (.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 d (sqrt.f64 (.f64 l h))))) (fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 d (sqrt.f64 (.f64 l h)))))))
(/.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))) (sqrt.f64 l) (.f64 (neg.f64 l) (sqrt.f64 (.f64 d (/.f64 d h))))) (*.f64 (neg.f64 l) (sqrt.f64 l)))
(/.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))) (sqrt.f64 l) (.f64 (neg.f64 l) (sqrt.f64 (.f64 (/.f64 d h) d)))) (*.f64 (neg.f64 l) (sqrt.f64 l)))
(/.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))) (sqrt.f64 (.f64 l h)) (.f64 (neg.f64 l) d)) (.f64 (neg.f64 l) (sqrt.f64 (.f64 l h))))
(/.f64 (fma.f64 (.f64 (neg.f64 h) (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))) (sqrt.f64 h) (.f64 (neg.f64 l) (/.f64 d (sqrt.f64 l)))) (.f64 (neg.f64 l) (sqrt.f64 h)))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))) (sqrt.f64 l) (.f64 (/.f64 l h) (sqrt.f64 (.f64 d (/.f64 d h))))) (*.f64 (/.f64 l h) (sqrt.f64 l)))
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(*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 h)) (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h))
(*.f64 (sqrt.f64 h) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h l)))
(pow.f64 (pow.f64 (/.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 l h)) #s(literal -1 binary64))
(pow.f64 (/.f64 l h) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 h l) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 h))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 h))) (neg.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 (*.f64 h #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l h))))
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l h))))
(/.f64 (sqrt.f64 h) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 l h) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l h)))
(sqrt.f64 (/.f64 h l))
(exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 D d)) M) M)
(.f64 (.f64 (/.f64 D d) (*.f64 #s(literal -1/8 binary64) M)) M)
(.f64 (.f64 (/.f64 D d) (*.f64 M M)) #s(literal -1/8 binary64))
(.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) D) (pow.f64 d #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/8 binary64) M) (*.f64 M (/.f64 D d)))
(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 D d)) (*.f64 M M))
(.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 D d))
(.f64 (.f64 M M) (*.f64 #s(literal -1/8 binary64) (/.f64 D d)))
(.f64 #s(literal -1/8 binary64) (.f64 (*.f64 M M) (/.f64 D d)))
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
(.f64 D (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))
(.f64 D (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 (.f64 M M) #s(literal -1/8 binary64))))
(pow.f64 (/.f64 d (.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) D)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 D) (.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 M M) #s(literal -1/8 binary64)))) (neg.f64 (/.f64 d D)))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) (neg.f64 D))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 d D)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) D))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64))) (neg.f64 (/.f64 d D)))
(/.f64 (.f64 (neg.f64 D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (neg.f64 d))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (/.f64 d D))
(/.f64 (.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) (neg.f64 D)) (neg.f64 d))
(/.f64 (.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) D)) (neg.f64 d))
(/.f64 (.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) D) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) D))))
(/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 d D))
(/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) D)))
(.f64 (sqrt.f64 (.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h)))) (sqrt.f64 (sqrt.f64 d)))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 d l) h))) (sqrt.f64 (.f64 (sqrt.f64 d) (/.f64 d (sqrt.f64 (*.f64 l h))))))
(.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (.f64 l h)))) (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(.f64 (pow.f64 (.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 d) (/.f64 d (sqrt.f64 (*.f64 l h)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))
(.f64 (.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 (pow.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 h #s(literal -1/2 binary64)) d) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (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 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d l))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 h) d) #s(literal -1 binary64)))
(.f64 (neg.f64 d) (pow.f64 (neg.f64 (sqrt.f64 (.f64 l h))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (sqrt.f64 d))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d)
(.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) d))
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 d (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64)) (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) (pow.f64 (/.f64 l d) #s(literal -2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 l) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) d)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal -1 binary64))
(pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 d (/.f64 d h)))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 d h) d))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (/.f64 d (sqrt.f64 l))) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 h #s(literal -1/2 binary64))) d)) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (neg.f64 (*.f64 d (neg.f64 (pow.f64 h #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 h #s(literal -1/2 binary64)) d))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) d)) (neg.f64 (sqrt.f64 (.f64 l h))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h))))))
(/.f64 (neg.f64 (.f64 d #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (.f64 l h))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (sqrt.f64 (*.f64 d (/.f64 (neg.f64 d) l))) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d l) d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (.f64 (neg.f64 d) d)) (sqrt.f64 (.f64 (neg.f64 h) l)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l)))
(/.f64 (sqrt.f64 (.f64 d (neg.f64 d))) (sqrt.f64 (.f64 h (neg.f64 l))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d))))
(/.f64 (sqrt.f64 (.f64 d #s(literal 1 binary64))) (sqrt.f64 (.f64 (/.f64 h d) l)))
(/.f64 (*.f64 (neg.f64 (pow.f64 h #s(literal -1/2 binary64))) d) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (*.f64 d (/.f64 d h))) (sqrt.f64 l))
(/.f64 (*.f64 d (neg.f64 (pow.f64 h #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))
(/.f64 (neg.f64 (*.f64 (pow.f64 h #s(literal -1/2 binary64)) d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 (.f64 #s(literal 1 binary64) d) (sqrt.f64 (.f64 l h)))
(/.f64 (.f64 d #s(literal 1 binary64)) (sqrt.f64 (.f64 l h)))
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))
(/.f64 (*.f64 (pow.f64 h #s(literal -1/2 binary64)) d) (sqrt.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 l) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d)))
(/.f64 (neg.f64 d) (neg.f64 (sqrt.f64 (*.f64 l h))))
(/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 (/.f64 h d) l)))
(/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))
(/.f64 d (sqrt.f64 (*.f64 (neg.f64 h) (neg.f64 l))))
(/.f64 d (sqrt.f64 (*.f64 l h)))
(neg.f64 (/.f64 (neg.f64 d) (sqrt.f64 (*.f64 l h))))
(neg.f64 (/.f64 d (neg.f64 (sqrt.f64 (*.f64 l h)))))
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 l h)) d)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))

eval342.0ms (2.3%)

Memory: -118.8MiB live, 235.7MiB allocated
Compiler: Compiled 54 483 to 4 545 computations (91.7% saved)

prune137.0ms (0.9%)

Memory

11.8MiB live, 178.8MiB allocated

Pruning

55 alts after pruning (52 fresh and 3 done)

	Pruned	Kept	Total
New	1 103	28	1 131
Fresh	21	24	45
Picked	3	2	5
Done	0	1	1
Total	1 127	55	1 182

Accuracy

96.3%

Counts

1 182 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.2%	(fma.f64 (/.f64 h l) (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (.f64 l h))))
	37.5%	(fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) (.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal -1/2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	28.6%	(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	30.1%	(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
▶	28.0%	(fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	33.4%	(fma.f64 h (/.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) l) (/.f64 d (sqrt.f64 (.f64 l h))))
▶	40.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	39.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 (/.f64 D d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	28.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 d M) #s(literal -2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 D D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	34.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	35.4%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	19.2%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	6.7%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	34.9%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	51.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
▶	67.6%	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	66.5%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
✓	67.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	61.3%	(.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 h l) (/.f64 #s(literal 4 binary64) D)) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d (/.f64 d M))))))
	50.9%	(.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 h l) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (pow.f64 (.f64 M D) #s(literal -1 binary64))))))
	63.1%	(.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 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (.f64 (/.f64 M d) (.f64 (.f64 #s(literal 1/4 binary64) D) h)))))
	66.7%	(.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 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	54.4%	(.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 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) #s(literal 4 binary64)) (/.f64 M (.f64 d d))) (.f64 M D))))
	37.0%	(.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 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	57.1%	(.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 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	49.4%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (fma.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	36.4%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) l)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	27.4%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	34.8%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	22.5%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	60.5%	#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 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 D d)) M) M)) D (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	47.4%	#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 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	57.3%	#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 D (.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	50.6%	#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 D #s(approx ( (/ D d) (* -1/8 (* M M))) (.f64 (/.f64 (.f64 (.f64 D M) M) d) #s(literal -1/8 binary64)))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	61.3%	#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 (sqrt.f64 (/.f64 h l)) d (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d))) h))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 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 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
▶	13.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	35.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	33.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) #s(literal 1/8 binary64) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	25.8%	#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 l h))))
	25.8%	#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 l h)) d)))
	57.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 h (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) D) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 D d)) M) M) (*.f64 (sqrt.f64 (/.f64 h l)) d)))))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	21.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (/.f64 h (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d)) #s(literal 2 binary64)) (.f64 (.f64 d d) (/.f64 h l)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) #s(literal -1 binary64))))
	4.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	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)))) (*.f64 (/.f64 #s(approx (pow h -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (sqrt.f64 l)) d))
	2.9%	#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 #s(approx (pow h -1/2) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 l)) d))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
✓	25.8%	#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 l h))) d))
	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)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
▶	38.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
	24.5%	#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) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 (neg.f64 M) M) d)) #s(literal 1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))))

Compiler

Compiled 4 902 to 3 250 computations (33.7% saved)

simplify139.0ms (0.9%)

Memory

14.2MiB live, 169.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 h l)
cost-diff	0	(.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h))))
cost-diff	2	(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
cost-diff	5	(fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
cost-diff	0	(.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d)))
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
cost-diff	2	(.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))
cost-diff	0	(*.f64 (/.f64 d h) (neg.f64 d))
cost-diff	0	(sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d)))
cost-diff	0	(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 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 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
cost-diff	0	(sqrt.f64 (*.f64 l h))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 l h)))
cost-diff	0	(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
cost-diff	0	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	2	(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	545
0	111	541
1	211	529
2	577	514
3	2842	514
4	4877	514
5	7766	514
0	8243	512

Stop Event

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

Calls

Call 1

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

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

localize180.0ms (1.2%)

Memory

0.6MiB live, 310.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.6802767833700782	(/.f64 d (*.f64 D M))
accuracy	4.051084281646136	(.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h))))
accuracy	5.793846403748802	(fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
accuracy	6.666153229055217	(sqrt.f64 (*.f64 l h))
accuracy	1.9778701975977584	(*.f64 (/.f64 D d) M)
accuracy	2.1878080244903613	(.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))
accuracy	2.4252219359424148	(/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l)
accuracy	6.835346558572651	(sqrt.f64 (/.f64 d l))
accuracy	0.05859375	(*.f64 (/.f64 d h) (neg.f64 d))
accuracy	1.1270805659192802	(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
accuracy	11.624232687123891	(sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d)))
accuracy	17.32933029880963	#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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
accuracy	0.0	(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	0.078125	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	6.666153229055217	(sqrt.f64 (*.f64 l h))
accuracy	17.32933029880963	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
accuracy	3.179293383590565	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy	3.6802767833700782	(/.f64 d (*.f64 D M))
accuracy	6.835346558572651	(sqrt.f64 (/.f64 d l))
accuracy	6.931664149766911	(sqrt.f64 (/.f64 d h))

Samples

73.0ms	132×	0	invalid
61.0ms	124×	0	valid

Compiler

Compiled 547 to 67 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 41.0ms (41.3% of total)

ival-div: 19.0ms (19.1% of total)

ival-pow: 14.0ms (14.1% of total)

ival-sqrt: 12.0ms (12.1% of total)

ival-add: 4.0ms (4% of total)

ival-neg: 3.0ms (3% of total)

ival-pow2: 2.0ms (2% of total)

ival-fabs: 1.0ms (1% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series167.0ms (1.1%)

Memory

13.7MiB live, 210.1MiB allocated

Counts

25 → 86

Calls

Call 1

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

Outputs
(* -1/8 (/ (* (pow D 2) (pow M 2)) (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)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (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)) l)) (pow d 2)) (pow d 2))
(fabs (* d (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (sqrt -1)) (sqrt (/ 1 h)))
(* -1 (/ (pow d 2) h))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (sqrt (/ 1 (pow l 3))))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 l)))) d)
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(* d (sqrt (/ h (pow l 3))))
(sqrt (/ d h))
(sqrt (/ d l))
(/ d (* D M))
(* -1/2 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) d))
(/ (* D M) d)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (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 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 h))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(sqrt (* h l))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(/ h 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) 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) (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) h) (sqrt (/ 1 l)))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* -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)))))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* h (+ (* -1 (* (/ (* d (sqrt -1)) h) (sqrt (/ 1 l)))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
(* -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)))))))))
(* (sqrt (/ d h)) (pow (sqrt -1) 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)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt l))) (* (* d (sqrt -1)) (sqrt (pow l 3)))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 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 (pow (sqrt -1) 3)) (sqrt (/ 1 l)))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 3)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (pow (sqrt -1) 3)) (sqrt (/ 1 l))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow M 2)) (sqrt (/ 1 l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow D 2)) (sqrt (/ 1 l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))

Calls

15 calls:

Time	Variable		Point	Expression
36.0ms	M	@	0	((* (* 1/4 (pow (/ d (* D M)) -2)) -1/2) (* (* (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) (neg d))) (sqrt (neg l))) (sqrt (* (/ d h) (neg d))) (* (/ d h) (neg d)) (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) (/ (* (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (+ (* (* (/ h l) (/ d (sqrt (* l h)))) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) (/ d (sqrt (* l h)))) (* (/ h l) (/ d (sqrt (* l h)))) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (/ d (* D M)) (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D)) (* (/ D d) M))
34.0ms	D	@	0	((* (* 1/4 (pow (/ d (* D M)) -2)) -1/2) (* (* (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) (neg d))) (sqrt (neg l))) (sqrt (* (/ d h) (neg d))) (* (/ d h) (neg d)) (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) (/ (* (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (+ (* (* (/ h l) (/ d (sqrt (* l h)))) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) (/ d (sqrt (* l h)))) (* (/ h l) (/ d (sqrt (* l h)))) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (/ d (* D M)) (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D)) (* (/ D d) M))
11.0ms	d	@	0	((* (* 1/4 (pow (/ d (* D M)) -2)) -1/2) (* (* (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) (neg d))) (sqrt (neg l))) (sqrt (* (/ d h) (neg d))) (* (/ d h) (neg d)) (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) (/ (* (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (+ (* (* (/ h l) (/ d (sqrt (* l h)))) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) (/ d (sqrt (* l h)))) (* (/ h l) (/ d (sqrt (* l h)))) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (/ d (* D M)) (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D)) (* (/ D d) M))
10.0ms	d	@	-inf	((* (* 1/4 (pow (/ d (* D M)) -2)) -1/2) (* (* (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) (neg d))) (sqrt (neg l))) (sqrt (* (/ d h) (neg d))) (* (/ d h) (neg d)) (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) (/ (* (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (+ (* (* (/ h l) (/ d (sqrt (* l h)))) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) (/ d (sqrt (* l h)))) (* (/ h l) (/ d (sqrt (* l h)))) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (/ d (* D M)) (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D)) (* (/ D d) M))
8.0ms	M	@	-inf	((* (* 1/4 (pow (/ d (* D M)) -2)) -1/2) (* (* (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) (neg d))) (sqrt (neg l))) (sqrt (* (/ d h) (neg d))) (* (/ d h) (neg d)) (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) (/ (* (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (+ (* (* (/ h l) (/ d (sqrt (* l h)))) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) (/ d (sqrt (* l h)))) (* (/ h l) (/ d (sqrt (* l h)))) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (/ d (* D M)) (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D)) (* (/ D d) M))

simplify178.0ms (1.2%)

Memory

-3.4MiB live, 174.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	1892
1	1150	1811
2	4154	1793
0	8175	1747

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 86

Calls

Call 1

Inputs
(* -1/8 (/ (* (pow D 2) (pow M 2)) (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)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (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)) l)) (pow d 2)) (pow d 2))
(fabs (* d (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (sqrt -1)) (sqrt (/ 1 h)))
(* -1 (/ (pow d 2) h))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (sqrt (/ 1 (pow l 3))))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 l)))) d)
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(* d (sqrt (/ h (pow l 3))))
(sqrt (/ d h))
(sqrt (/ d l))
(/ d (* D M))
(* -1/2 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) d))
(/ (* D M) d)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (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 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 h))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(sqrt (* h l))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(/ h 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) 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) (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) h) (sqrt (/ 1 l)))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* -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)))))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* h (+ (* -1 (* (/ (* d (sqrt -1)) h) (sqrt (/ 1 l)))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
(* -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)))))))))
(* (sqrt (/ d h)) (pow (sqrt -1) 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)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt l))) (* (* d (sqrt -1)) (sqrt (pow l 3)))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 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 (pow (sqrt -1) 3)) (sqrt (/ 1 l)))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 3)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (pow (sqrt -1) 3)) (sqrt (/ 1 l))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow M 2)) (sqrt (/ 1 l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow D 2)) (sqrt (/ 1 l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))

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

rewrite265.0ms (1.8%)

Memory

-3.6MiB live, 284.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	372
0	111	362
1	365	326
2	2559	314
0	8687	312

Stop Event

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

Counts

25 → 1 029

Calls

Call 1

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

Outputs
(.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) #s(literal 1/4 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)) #s(literal -1/8 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) #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 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))
(.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))))) (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 l))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h)))) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h)))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))))) (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64)))) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 d) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))) (neg.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))))) (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 d h)) (+.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))))) (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 d))) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 d) (-.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (sqrt.f64 h) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 d) (+.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (sqrt.f64 h) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))))) (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 d))) (neg.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) #s(literal -1 binary64)) (sqrt.f64 h))))
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(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(sqrt.f64 (/.f64 d h))
(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 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))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #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)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (sqrt.f64 d) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 l))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 l)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (/.f64 d #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 l d) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 d l))
(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (neg.f64 l)) #s(literal 1/2 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))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(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 d l)) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (log.f64 d)) (exp.f64 (neg.f64 (log.f64 (.f64 M D)))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 M D) #s(literal -1 binary64)))
(*.f64 (pow.f64 M #s(literal -1 binary64)) (/.f64 d D))
(*.f64 (pow.f64 D #s(literal -1 binary64)) (/.f64 d M))
(.f64 #s(literal -1 binary64) (/.f64 d (.f64 (neg.f64 M) D)))
(.f64 (pow.f64 (.f64 M D) #s(literal -1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 M D) #s(literal -1 binary64)) d)
(*.f64 (/.f64 d D) (pow.f64 M #s(literal -1 binary64)))
(.f64 (neg.f64 d) (pow.f64 (.f64 (neg.f64 M) D) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 d (.f64 M D)))
(.f64 d (pow.f64 (.f64 M D) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 D d) M) #s(literal -1 binary64))
(pow.f64 (/.f64 d (*.f64 M D)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 d D))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (.f64 d #s(literal 1 binary64))) (.f64 (neg.f64 M) D))
(/.f64 (neg.f64 (pow.f64 M #s(literal -1 binary64))) (neg.f64 (/.f64 D d)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 (neg.f64 (*.f64 (neg.f64 M) D))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (neg.f64 M) D)) (.f64 (.f64 (neg.f64 M) D) d)) (pow.f64 (*.f64 M D) #s(literal 2 binary64)))
(/.f64 (exp.f64 (log.f64 (/.f64 d D))) (exp.f64 (log.f64 M)))
(/.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 (*.f64 M D))))
(/.f64 (exp.f64 (log.f64 (neg.f64 d))) (exp.f64 (log.f64 (*.f64 (neg.f64 M) D))))
(/.f64 (pow.f64 M #s(literal -1 binary64)) (/.f64 D d))
(/.f64 (neg.f64 (/.f64 d D)) (neg.f64 M))
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (*.f64 (neg.f64 M) D)))
(/.f64 (neg.f64 (/.f64 d M)) (neg.f64 D))
(/.f64 (.f64 d #s(literal 1 binary64)) (.f64 M D))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 D d) M)))
(/.f64 (/.f64 d M) D)
(/.f64 (/.f64 d D) M)
(/.f64 (neg.f64 d) (*.f64 (neg.f64 M) D))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 D d) M))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) M))
(/.f64 d (*.f64 M D))
(neg.f64 (/.f64 (neg.f64 d) (*.f64 M D)))
(neg.f64 (/.f64 d (*.f64 (neg.f64 M) D)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 M) D)) (/.f64 d (.f64 (neg.f64 M) D)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 D d) M)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 d (*.f64 M D))))
(.f64 (/.f64 #s(literal -1/2 binary64) l) (.f64 (/.f64 D d) M))
(.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (*.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 l #s(literal -1 binary64)) (.f64 (*.f64 (/.f64 D d) M) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) (pow.f64 l #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 D d) M) (/.f64 #s(literal -1/2 binary64) l))
(.f64 (/.f64 D d) (/.f64 (.f64 #s(literal -1/2 binary64) M) l))
(.f64 (/.f64 D d) (.f64 (*.f64 #s(literal -1/2 binary64) M) (pow.f64 l #s(literal -1 binary64))))
(.f64 (/.f64 D d) (.f64 M (/.f64 #s(literal -1/2 binary64) l)))
(.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (pow.f64 (neg.f64 l) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 D d) M) l))
(.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (/.f64 D d) M) (pow.f64 l #s(literal -1 binary64))))
(.f64 M (.f64 (/.f64 D d) (/.f64 #s(literal -1/2 binary64) l)))
(pow.f64 (/.f64 (/.f64 l (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal -1 binary64))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 M D) (/.f64 #s(literal -1/2 binary64) l))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))) (neg.f64 (neg.f64 (neg.f64 l))))
(/.f64 (neg.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64))) (neg.f64 (*.f64 d l)))
(/.f64 (neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 l))
(/.f64 (/.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal -1 binary64)) l)
(/.f64 (.f64 (.f64 M D) (/.f64 #s(literal -1/2 binary64) l)) d)
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (*.f64 d l))
(/.f64 (.f64 (.f64 (*.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) #s(literal 1 binary64)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l)
(/.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (neg.f64 l))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 l (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) l))
(neg.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) (neg.f64 l)))
(exp.f64 (.f64 (log.f64 (/.f64 l (.f64 (*.f64 (/.f64 D d) M) #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)) M) (pow.f64 d #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 M d) #s(literal 1/4 binary64)) D)
(.f64 (.f64 D #s(literal 1/4 binary64)) (/.f64 M d))
(.f64 (/.f64 M d) (.f64 D #s(literal 1/4 binary64)))
(.f64 M (/.f64 (.f64 D #s(literal 1/4 binary64)) d))
(.f64 M (.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 D #s(literal 1/4 binary64))))
(.f64 D (.f64 (/.f64 M d) #s(literal 1/4 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 (/.f64 D d) M))
(pow.f64 (/.f64 d (.f64 (.f64 D #s(literal 1/4 binary64)) M)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 M) (.f64 D #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 D #s(literal 1/4 binary64)))) (neg.f64 (/.f64 d M)))
(/.f64 (neg.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) (neg.f64 M))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 d M)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) M))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 D #s(literal 1/4 binary64))) (neg.f64 (/.f64 d M)))
(/.f64 (.f64 (neg.f64 M) (.f64 D #s(literal 1/4 binary64))) (neg.f64 d))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 D #s(literal 1/4 binary64))) (/.f64 d M))
(/.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) (neg.f64 M)) (neg.f64 d))
(/.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 d M))
(/.f64 (neg.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) M)) (neg.f64 d))
(/.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) M) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (.f64 (.f64 D #s(literal 1/4 binary64)) M))))
(/.f64 (*.f64 D #s(literal 1/4 binary64)) (/.f64 d M))
(/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 D #s(literal 1/4 binary64)) M)))
(.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (neg.f64 M) D) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 d (.f64 (neg.f64 M) D)) #s(literal -1 binary64)))
(.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 M D))
(*.f64 (/.f64 D d) (pow.f64 (pow.f64 M #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 D d) M)
(.f64 #s(literal 1 binary64) (.f64 (/.f64 D d) M))
(.f64 (.f64 M D) (pow.f64 d #s(literal -1 binary64)))
(*.f64 M (/.f64 D d))
(*.f64 D (/.f64 M d))
(pow.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64))
(pow.f64 (/.f64 d (*.f64 M D)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) M)) (neg.f64 (/.f64 d D)))
(/.f64 (neg.f64 (*.f64 M #s(literal 1 binary64))) (neg.f64 (/.f64 d D)))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 M #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 #s(literal 1 binary64) M) (/.f64 d D))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 M D))))
(/.f64 (*.f64 (neg.f64 M) D) (neg.f64 d))
(/.f64 (neg.f64 M) (neg.f64 (/.f64 d D)))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M D)))
(/.f64 (*.f64 M D) d)
(/.f64 M (/.f64 d D))
(exp.f64 (log.f64 (*.f64 (/.f64 D d) M)))

eval241.0ms (1.6%)

Memory: 21.9MiB live, 270.4MiB allocated
Compiler: Compiled 51 089 to 4 836 computations (90.5% saved)

prune235.0ms (1.6%)

Memory

-17.4MiB live, 186.0MiB allocated

Pruning

61 alts after pruning (56 fresh and 5 done)

	Pruned	Kept	Total
New	1 331	22	1 353
Fresh	13	34	47
Picked	3	2	5
Done	0	3	3
Total	1 347	61	1 408

Accuracy

96.3%

Counts

1 408 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(fma.f64 (/.f64 (.f64 h d) (.f64 (sqrt.f64 (.f64 l h)) l)) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	31.2%	(fma.f64 (/.f64 h l) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	37.5%	(fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) (.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal -1/2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	28.6%	(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	30.1%	(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	28.0%	(fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)) #s(literal -1/8 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	22.0%	(fma.f64 (.f64 (/.f64 h l) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(approx (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	41.6%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	40.8%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) (/.f64 #s(literal -1/2 binary64) l)) d) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	38.9%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 d l)) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	28.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 d M) #s(literal -2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 D D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	29.1%	(/.f64 (.f64 (.f64 (fma.f64 #s(approx (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 (/.f64 (.f64 M M) d) (*.f64 D D)))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	6.7%	(/.f64 (.f64 #s(approx ( (+ (* (* (/ (* (* (/ D d) M) -1/2) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	34.9%	(.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	37.8%	(.f64 (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) l)) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	51.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	67.6%	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	67.6%	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.5%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
✓	67.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	69.8%	(.f64 (.f64 (fma.f64 h (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	61.3%	(.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 h l) (/.f64 #s(literal 4 binary64) D)) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d (/.f64 d M))))))
	50.9%	(.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 h l) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (pow.f64 (.f64 M D) #s(literal -1 binary64))))))
	63.1%	(.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 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (.f64 (/.f64 M d) (.f64 (.f64 #s(literal 1/4 binary64) D) h)))))
	66.7%	(.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 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	54.4%	(.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 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) #s(literal 4 binary64)) (/.f64 M (.f64 d d))) (.f64 M D))))
	37.0%	(.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 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	36.4%	(.f64 (.f64 #s(approx (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) l)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	28.0%	(.f64 (.f64 #s(approx (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	49.4%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (fma.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	27.4%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	34.8%	(.f64 #s(approx ( (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	22.5%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	60.5%	#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 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 D d)) M) M)) D (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	47.4%	#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 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	57.3%	#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 D (.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	50.6%	#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 D #s(approx ( (/ D d) (* -1/8 (* M M))) (.f64 (/.f64 (.f64 (.f64 D M) M) d) #s(literal -1/8 binary64)))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	61.3%	#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 (sqrt.f64 (/.f64 h l)) d (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d))) h))
	4.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l))))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 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 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
✓	13.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	35.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	33.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* D (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) #s(literal 1/8 binary64) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	25.8%	#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 l h))))
	37.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d))))
	25.8%	#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 l h)) d)))
	57.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 h (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) D) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 D d)) M) M) (*.f64 (sqrt.f64 (/.f64 h l)) d)))))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	21.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (/.f64 h (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d)) #s(literal 2 binary64)) (.f64 (.f64 d d) (/.f64 h l)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) #s(literal -1 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)))) (*.f64 (/.f64 #s(approx (pow h -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (sqrt.f64 l)) d))
	2.9%	#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 #s(approx (pow h -1/2) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 l)) d))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
✓	25.8%	#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 l h))) d))
	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)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	20.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
✓	38.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
	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)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))
	17.8%	#s(approx (* (* (+ (* (/ h l) (* (* 1/4 (pow (/ d (* D M)) -2)) -1/2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))

Compiler

Compiled 7 863 to 2 483 computations (68.4% saved)

regimes298.0ms (2%)

Memory

-1.1MiB live, 265.7MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

45.0ms	l
40.0ms	h
39.0ms	D
38.0ms	d
37.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
82.0%	2	`d`
82.0%	2	`h`
82.0%	2	`l`
69.8%	1	`M`
71.6%	2	`D`
81.4%	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))))`
76.7%	4	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes113.0ms (0.7%)

Memory

2.5MiB live, 171.2MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

34.0ms	h
27.0ms	d
24.0ms	(.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))))
23.0ms	l

Results

Accuracy	Segments	Branch
81.4%	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))))`
81.4%	4	`d`
80.6%	3	`l`
77.3%	2	`h`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes25.0ms (0.2%)

Memory

0.6MiB live, 47.5MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

20.0ms

(*.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%	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))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes36.0ms (0.2%)

Memory

3.3MiB live, 79.3MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

18.0ms

15.0ms

(*.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
80.3%	3	`l`
77.5%	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))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes90.0ms (0.6%)

Memory

-19.5MiB live, 103.9MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

54.0ms

(*.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))))

17.0ms

16.0ms

Results

Accuracy	Segments	Branch
77.5%	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))))`
80.5%	4	`d`
78.0%	3	`l`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes74.0ms (0.5%)

Memory

27.1MiB live, 147.2MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

11.0ms	D
11.0ms	l
11.0ms	d
10.0ms	h
10.0ms	M

Results

Accuracy	Segments	Branch
64.1%	3	`M`
59.3%	2	`D`
61.9%	2	`(*.f64 M D)`
64.5%	3	`l`
60.1%	2	`h`
61.9%	2	`d`
69.1%	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 43 to 53 computations (-23.3% saved)

regimes9.0ms (0.1%)

Memory

-19.3MiB live, 19.8MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

7.0ms

(*.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
69.1%	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 35 to 22 computations (37.1% saved)

regimes60.0ms (0.4%)

Memory

-26.0MiB live, 106.9MiB allocated

Counts

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

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

Calls

7 calls:

8.0ms	l
7.0ms	(*.f64 M D)
7.0ms	D
7.0ms	M
7.0ms	d

Results

Accuracy	Segments	Branch
42.8%	3	`D`
45.6%	2	`h`
43.8%	2	`(*.f64 M D)`
45.6%	2	`d`
43.3%	2	`M`
48.7%	3	`l`
52.7%	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 43 to 53 computations (-23.3% saved)

regimes6.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

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

Calls

1 calls:

4.0ms

(*.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
51.3%	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 35 to 22 computations (37.1% saved)

regimes17.0ms (0.1%)

Memory

-2.4MiB live, 37.0MiB allocated

Counts

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

Calls

4 calls:

5.0ms	d
4.0ms	h
4.0ms	l
4.0ms	(.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
43.1%	2	`h`
43.3%	2	`d`
43.1%	2	`l`
46.7%	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 38 to 37 computations (2.6% saved)

regimes10.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

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

Calls

3 calls:

3.0ms

(*.f64 M D)

3.0ms

(*.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
43.3%	2	`d`
40.5%	2	`(*.f64 M D)`
44.2%	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 39 to 33 computations (15.4% saved)

regimes13.0ms (0.1%)

Memory

-7.2MiB live, 32.0MiB allocated

Counts

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

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

Calls

5 calls:

3.0ms	d
2.0ms	h
2.0ms	M
2.0ms	l
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))))

Results

Accuracy	Segments	Branch
41.7%	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))))`
38.0%	1	`l`
38.0%	1	`h`
39.8%	2	`M`
38.0%	1	`d`

Compiler

Compiled 39 to 42 computations (-7.7% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

2 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 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 d (sqrt.f64 (*.f64 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))

Calls

1 calls:

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))))

Results

Accuracy	Segments	Branch
41.7%	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))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes10.0ms (0.1%)

Memory

-8.0MiB live, 31.1MiB 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 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 d (sqrt.f64 (*.f64 l h))))

Calls

7 calls:

2.0ms	(*.f64 M 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	l
1.0ms	h

Results

Accuracy	Segments	Branch
25.8%	1	`d`
25.8%	1	`h`
25.8%	1	`l`
25.8%	1	`M`
25.8%	1	`(*.f64 M D)`
25.8%	1	`D`
25.8%	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))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch70.0ms (0.5%)

Memory

6.9MiB live, 125.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
63.0ms	-2.7168115138535674e-294	3.4221574601200723e-308

Samples

30.0ms	160×	0	valid
22.0ms	144×	0	invalid

Compiler

Compiled 638 to 540 computations (15.4% saved)

Precisions

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

ival-div: 13.0ms (33.4% of total)

ival-mult: 11.0ms (28.3% of total)

ival-pow: 10.0ms (25.7% of total)

ival-pow2: 3.0ms (7.7% 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)

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.1095503428729046e+239	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1095503428729046e+239	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch129.0ms (0.9%)

Memory

-8.7MiB live, 186.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	7.254159925200105e+165	2.03017782615491e+166
85.0ms	-5.8548878420827154e-304	3.171087191365414e-306

Samples

72.0ms	224×	0	valid
28.0ms	193×	0	invalid

Compiler

Compiled 877 to 712 computations (18.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 20.0ms (34.7% of total)

ival-pow: 16.0ms (27.7% of total)

ival-div: 14.0ms (24.3% of total)

ival-pow2: 4.0ms (6.9% of total)

ival-sub: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1095503428729046e+239	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1095503428729046e+239	+inf
0.0ms	-1.2681818446201385e-233	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1095503428729046e+239	+inf
0.0ms	-1.2681818446201385e-233	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1095503428729046e+239	+inf
0.0ms	-1.2681818446201385e-233	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1095503428729046e+239	+inf
0.0ms	-1.2681818446201385e-233	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1095503428729046e+239	+inf
0.0ms	-0.0	6.875267700322546e-306

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch172.0ms (1.1%)

Memory

-28.2MiB live, 93.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
149.0ms	2.7090606438505894e-121	1.1518919948238674e-113

Samples

81.0ms	102×	0	invalid
59.0ms	144×	0	valid

Compiler

Compiled 830 to 552 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-div: 77.0ms (58.7% of total)

ival-mult: 44.0ms (33.5% of total)

ival-pow: 6.0ms (4.6% of total)

ival-pow2: 2.0ms (1.5% of total)

ival-sub: 1.0ms (0.8% 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

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.675698636923865e-182	1.6896509597066857e-173

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0661700349567678e-121	-9.384066766958881e-160

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify71.0ms (0.5%)

Memory

38.3MiB live, 76.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1937
1	315	1937
2	641	1937
3	2125	1937
4	4340	1937

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 h #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 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 199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (.f64 (.f64 (fma.f64 h (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 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 (* (/ D d) (* -1/8 (* M M)))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) #s(literal 1/8 binary64) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))) 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 199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (.f64 (.f64 (fma.f64 h (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 l #s(literal 15499999999999999158147543980700050437503851377015691062613193324180988234908173151581725303897387254612300766545959883320514713751758574811997973403339804557560512512 binary64)) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) l)) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 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 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l)) d))))
(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 199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 1 binary64)) (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l 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 -8949657474523425/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (fma.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (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 199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))
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Outputs
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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 l h))))

soundness2.0s (13.6%)

Memory

-25.4MiB live, 1 042.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1652
1	876	1544
2	3082	1525
3	6578	1492
0	8446	1456
0	67	399
0	107	377
1	363	369
2	2478	356
0	8915	356
0	68	372
0	111	362
1	365	326
2	2559	314
0	8687	312
0	87	398
0	146	380
1	476	356
2	3580	348
0	11011	348
0	22	72
0	38	68
1	124	67
2	836	67
0	8769	65
0	363	2038
1	1094	1924
2	3973	1904
3	7937	1878
0	8100	1833
0	147	635
1	413	593
2	1514	584
3	4190	568
4	7941	568
0	8163	552

Stop Event

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

Compiler

Compiled 4 225 to 1 601 computations (62.1% saved)

preprocess109.0ms (0.7%)

Memory

14.9MiB live, 167.2MiB allocated

Remove

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 4 936 to 898 computations (81.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze476.0ms (3.2%)

sample5.9s (39.1%)

explain480.0ms (3.2%)

preprocess201.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify147.0ms (1%)

localize98.0ms (0.7%)

series51.0ms (0.3%)

simplify115.0ms (0.8%)

rewrite167.0ms (1.1%)

eval83.0ms (0.5%)

prune42.0ms (0.3%)

simplify130.0ms (0.9%)

localize272.0ms (1.8%)

series199.0ms (1.3%)

simplify194.0ms (1.3%)

rewrite231.0ms (1.5%)

eval100.0ms (0.7%)

prune79.0ms (0.5%)

simplify135.0ms (0.9%)

localize250.0ms (1.7%)

series133.0ms (0.9%)

simplify142.0ms (0.9%)

rewrite201.0ms (1.3%)

eval342.0ms (2.3%)

prune137.0ms (0.9%)

simplify139.0ms (0.9%)

localize180.0ms (1.2%)

series167.0ms (1.1%)

simplify178.0ms (1.2%)

rewrite265.0ms (1.8%)

eval241.0ms (1.6%)

prune235.0ms (1.6%)

regimes298.0ms (2%)

regimes113.0ms (0.7%)

regimes25.0ms (0.2%)

regimes36.0ms (0.2%)

regimes90.0ms (0.6%)

regimes74.0ms (0.5%)

regimes9.0ms (0.1%)

regimes60.0ms (0.4%)

regimes6.0ms (0%)

regimes17.0ms (0.1%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes2.0ms (0%)

regimes10.0ms (0.1%)

bsearch70.0ms (0.5%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch129.0ms (0.9%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch172.0ms (1.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify71.0ms (0.5%)

soundness2.0s (13.6%)

preprocess109.0ms (0.7%)

end0.0ms (0%)

Profiling