Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze932.0ms (4.8%)

Memory

-0.0MiB live, 678.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.8s (29.8%)

Memory

14.4MiB live, 7 570.7MiB allocated

Samples

2.9s	13 318×	0	invalid
1.6s	8 256×	0	valid

Precisions

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

ival-div: 1.2s (36.3% of total)

ival-mult: 904.0ms (27.6% of total)

ival-pow: 654.0ms (19.9% of total)

ival-pow2: 304.0ms (9.3% of total)

ival-sub: 174.0ms (5.3% of total)

exact: 24.0ms (0.7% of total)

ival-true: 19.0ms (0.6% of total)

ival-assert: 10.0ms (0.3% of total)

Bogosity

explain318.0ms (1.6%)

Memory

6.2MiB live, 451.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	5	(3.54137200072748e-28 6.470248102062435e+288 0.05375884322631242 -1.089611550241348e-280 -8.374237932474429e+225)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
62	-	2	(5.555935952406576e-232 1.1260414863604838e-242 7.606937491796075e+78 -1.1153392199117821e-305 -9.725201004428505e-73)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
44	-	2	(-2.0757986013132268e+143 -2.2340813276709338e+294 -2.16738602391448e+68 1.6549494074824782e-222 -5.136007131942661e+206)	`(.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))`
25	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
16	-	1	(1.0113649799081192e-283 3.4142425463702917e+140 2.2006815446828712e+20 1.562743659294369e-239 -4.809416427675564e-71)	`(/.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)))`	oflow-rescue	32	0
↳	`(/.f64 d h)`	overflow	32
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	30	0
↳	`(/.f64 d l)`	underflow	30
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	30	0
↳	`(/.f64 d l)`	overflow	30
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	27	0
↳	`(/.f64 d h)`	underflow	27
`*.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**	20	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**	14	0
↳	`(/.f64 d h)`	underflow	27
↳	`(/.f64 d l)`	underflow	30
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	20
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	83
↳	`(.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	83
↳	`(/.f64 h l)`	overflow	31
↳	`(-.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	80
↳	`(.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	80
↳	`(*.f64 M D)`	overflow	28
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	44
`*.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**	7	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	6	0
↳	`(*.f64 M D)`	overflow	28
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	4	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	83
↳	`(.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	83
↳	`(*.f64 M D)`	overflow	28
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	44
↳	`(/.f64 h l)`	underflow	25

Confusion

	Predicted +	Predicted -
+	90	4
-	32	130

Precision

0.7377049180327869

Recall

0.9574468085106383

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	90	0	4
-	32	0	130

Precision?

0.7377049180327869

Recall?

0.9574468085106383

Freqs

test

number	freq
0	134
1	84
2	26
3	11
4	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

100.0ms

512×

valid

Compiler

Compiled 501 to 92 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-pow: 21.0ms (30.3% of total)

ival-mult: 20.0ms (28.8% of total)

ival-div: 19.0ms (27.4% of total)

ival-pow2: 6.0ms (8.6% of total)

ival-sub: 2.0ms (2.9% of total)

ival-true: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

preprocess151.0ms (0.8%)

Memory

2.1MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

(*.f64 (*.f64 (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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

65.4%

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify131.0ms (0.7%)

Memory

-5.2MiB live, 111.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.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	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (0.3%)

Memory

9.0MiB live, 82.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	6.11966754956638	(.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	10.028049920929645	(.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	14.345021001632917	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	14.519748503833489	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

53.0ms

256×

valid

Compiler

Compiled 310 to 46 computations (85.2% saved)

Precisions

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

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

ival-div: 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)

series60.0ms (0.3%)

Memory

10.4MiB live, 94.0MiB allocated

Counts

6 → 228

Calls

Call 1

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

Calls

15 calls:

Time	Variable		Point	Expression
11.0ms	l	@	inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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)))))
8.0ms	d	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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)))))
6.0ms	l	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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)))))
3.0ms	h	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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)))))

simplify172.0ms (0.9%)

Memory

-1.2MiB live, 156.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	3951
1	413	3789
2	1500	3752
3	4172	3682
4	7950	3682
0	8170	3598

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

rewrite159.0ms (0.8%)

Memory

7.3MiB live, 235.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
0	38	68
1	124	67
2	828	67
0	8730	65

Stop Event

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

Counts

6 → 454

Calls

Call 1

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

eval91.0ms (0.5%)

Memory: -2.5MiB live, 181.3MiB allocated
Compiler: Compiled 30 972 to 1 523 computations (95.1% saved)

prune91.0ms (0.5%)

Memory

-4.1MiB live, 156.6MiB allocated

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	650	34	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	651	34	685

Accuracy

94.0%

Counts

685 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.6%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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)))
▶	39.7%	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	64.1%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	64.8%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	39.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	35.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	36.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	34.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	54.5%	(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	54.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
▶	64.6%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	65.0%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.1%	(.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)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	65.1%	(.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)))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64)))
	64.6%	(.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)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	55.7%	(.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 (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)))))
	63.8%	(.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 (.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)))
▶	58.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
▶	68.8%	(.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 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) 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))))))
	60.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	25.0%	(.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 #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))))
	35.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	35.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 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 #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))))
	65.4%	(.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))))
	35.9%	(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	37.4%	#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)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	16.4%	#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)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	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 (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))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 M M)) (.f64 D D)) (/.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))
	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)))))))
	14.5%	#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 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 616 to 1 826 computations (30.2% saved)

simplify157.0ms (0.8%)

Memory

33.8MiB live, 166.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	704	(/.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	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (/.f64 (/.f64 d l) h) d)
cost-diff	0	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l))
cost-diff	2368	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
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 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(*.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	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	6848	(/.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	620
0	129	606
1	255	594
2	762	573
3	5062	573
0	8158	570

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

localize363.0ms (1.9%)

Memory

-48.9MiB live, 489.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.682396473111048	(/.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)))
accuracy	10.066450010158496	(/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (*.f64 D M))
accuracy	14.345021001632917	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	14.519748503833489	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	4.718193355524951	(/.f64 (/.f64 d l) h)
accuracy	7.09092399485585	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l))
accuracy	15.132883724343857	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
accuracy	18.581128027587408	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy	4.440726686891331	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	7.420002951850182	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	14.345021001632917	(sqrt.f64 (/.f64 d l))
accuracy	14.519748503833489	(sqrt.f64 (/.f64 d h))
accuracy	0.20703125	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.25273609264898866	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	14.83192851946706	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	49.24602595696407	#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	5.519277773927702	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l)
accuracy	6.11966754956638	(.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 #s(literal 1/2 binary64) d) D) M) 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	14.345021001632917	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	14.519748503833489	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

233.0ms

256×

valid

Compiler

Compiled 1 305 to 152 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 58.0ms (32.5% of total)

ival-pow: 41.0ms (23% of total)

ival-pow2: 34.0ms (19% of total)

ival-div: 32.0ms (17.9% of total)

ival-sqrt: 7.0ms (3.9% of total)

ival-sub: 4.0ms (2.2% of total)

ival-add: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series244.0ms (1.2%)

Memory

8.0MiB live, 277.8MiB allocated

Counts

25 → 960

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
83.0ms	h	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ 1/2 d) D) M) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ (* (* (/ 1/2 d) D) M) l) (/ 1 (* l h)) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (/ (/ d l) h) (/ (* 4 (* d d)) (* D M)))
26.0ms	d	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ 1/2 d) D) M) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ (* (* (/ 1/2 d) D) M) l) (/ 1 (* l h)) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (/ (/ d l) h) (/ (* 4 (* d d)) (* D M)))
18.0ms	D	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ 1/2 d) D) M) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ (* (* (/ 1/2 d) D) M) l) (/ 1 (* l h)) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (/ (/ d l) h) (/ (* 4 (* d d)) (* D M)))
15.0ms	l	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ 1/2 d) D) M) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ (* (* (/ 1/2 d) D) M) l) (/ 1 (* l h)) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (/ (/ d l) h) (/ (* 4 (* d d)) (* D M)))
13.0ms	M	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ 1/2 d) D) M) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ (* (* (/ 1/2 d) D) M) l) (/ 1 (* l h)) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (/ (/ d l) h) (/ (* 4 (* d d)) (* D M)))

simplify206.0ms (1.1%)

Memory

-3.1MiB live, 247.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	13594
1	682	13150
2	2445	13087
3	5559	13045
0	8315	12793

Stop Event

1×	iter limit
1×	node limit

Counts

960 → 960

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(sqrt.f64 (/.f64 d h))
(sqrt.f64 (/.f64 d h))
(sqrt.f64 (/.f64 d h))
(sqrt.f64 (/.f64 d h))
(sqrt.f64 (/.f64 d l))
(sqrt.f64 (/.f64 d l))
(sqrt.f64 (/.f64 d l))
(sqrt.f64 (/.f64 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))))))
(/.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)
(/.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)
(/.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)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(.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))))))
(/.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)
(/.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)
(/.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)
(.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 l #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 d (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) l))) (.f64 d d))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 d (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) l))) (.f64 d d))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 d (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) l))) (.f64 d d))
(.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(/.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))
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(/.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))
(.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))))))
(/.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)
(/.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)
(/.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)
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) d)
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(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) d)
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(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(*.f64 (/.f64 d l) (/.f64 d h))
(*.f64 (/.f64 d l) (/.f64 d h))
(*.f64 (/.f64 d l) (/.f64 d h))
(*.f64 (/.f64 d l) (/.f64 d h))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))
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(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))
(.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))))))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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 (.f64 #s(literal 1/2 binary64) M) l) (/.f64 D d))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) l) (/.f64 D d))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) l) (/.f64 D d))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) l) (/.f64 D d))
(.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64))
(.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64))
(.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64))
(.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64))
(.f64 (.f64 d (/.f64 d (*.f64 M D))) #s(literal 4 binary64))
(.f64 (.f64 d (/.f64 d (*.f64 M D))) #s(literal 4 binary64))
(.f64 (.f64 d (/.f64 d (*.f64 M D))) #s(literal 4 binary64))
(.f64 (.f64 d (/.f64 d (*.f64 M D))) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(.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))))))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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 (.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))))))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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 (.f64 D D) (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))))
(fma.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (.f64 (.f64 (*.f64 M M) D) D)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (.f64 (.f64 (*.f64 M M) D) D)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (.f64 (.f64 (*.f64 M M) D) D)) (sqrt.f64 (/.f64 d l)))
(.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(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))
(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))
(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))
(.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))))))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))
(.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))))))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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))
(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) 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 (.f64 #s(literal 1/2 binary64) M) l) (/.f64 D d))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) l) (/.f64 D d))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) l) (/.f64 D d))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) l) (/.f64 D d))
(.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64))
(.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64))
(.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64))
(.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64))
(.f64 (.f64 d (/.f64 d (*.f64 M D))) #s(literal 4 binary64))
(.f64 (.f64 d (/.f64 d (*.f64 M D))) #s(literal 4 binary64))
(.f64 (.f64 d (/.f64 d (*.f64 M D))) #s(literal 4 binary64))
(.f64 (.f64 d (/.f64 d (*.f64 M D))) #s(literal 4 binary64))

rewrite274.0ms (1.4%)

Memory

27.1MiB live, 290.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	305
0	125	290
1	426	275
2	3278	263
0	10541	263

Stop Event

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

Counts

25 → 804

Calls

Call 1

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

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

eval456.0ms (2.3%)

Memory: 12.3MiB live, 621.8MiB allocated
Compiler: Compiled 94 657 to 3 685 computations (96.1% saved)

prune366.0ms (1.9%)

Memory

-6.8MiB live, 455.0MiB allocated

Pruning

50 alts after pruning (49 fresh and 1 done)

	Pruned	Kept	Total
New	2 164	41	2 205
Fresh	21	8	29
Picked	4	1	5
Done	0	0	0
Total	2 189	50	2 239

Accuracy

95.9%

Counts

2 239 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(fma.f64 (/.f64 h l) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	29.0%	(fma.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 d (sqrt.f64 (*.f64 l h))))
	43.6%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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)))
	33.3%	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	35.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
▶	39.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #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 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
▶	34.4%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d 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))))
	54.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
▶	69.8%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	68.6%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.6%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	67.2%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 M l) (.f64 (/.f64 #s(literal 1/2 binary64) d) D)) (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 (/.f64 d h)))
	67.4%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	65.0%	(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	64.7%	(.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)))
	36.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
	64.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D))) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.9%	(.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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) h) d))))
	37.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) 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))))))
	37.2%	(.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 (/.f64 #s(literal 1/2 binary64) d) D) M) 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))))))
	35.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	58.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	38.1%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) 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))))))
	51.2%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	36.0%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d 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 l))) (sqrt.f64 (/.f64 d h)))
	25.0%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	35.9%	(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	35.5%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	8.8%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	37.4%	#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	25.8%	#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.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))
	15.7%	#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.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)))))))
	24.9%	#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	20.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	16.7%	#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))))
	16.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
▶	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	28.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 M M)) (.f64 D D)) (/.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))
	21.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
	21.5%	#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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal -1 binary64))))) d))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	14.5%	#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 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
✓	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	20.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	32.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	38.7%	#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)))))

Compiler

Compiled 3 836 to 2 668 computations (30.4% saved)

simplify118.0ms (0.6%)

Memory

-8.6MiB live, 150.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	647
0	138	645
1	257	645
2	668	639
3	3421	639
4	7108	639
0	8074	636

Stop Event

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

Calls

Call 1

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

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

localize326.0ms (1.7%)

Memory

21.2MiB live, 447.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.7072958385670445	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
accuracy	2.147555338104037	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	2.871729264776869	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	6.882158685119634	(sqrt.f64 (/.f64 d l))
accuracy	2.1122148589769965	(/.f64 (/.f64 d D) M)
accuracy	2.871729264776869	(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy	3.33162858130418	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d 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))))
accuracy	8.040927431792433	(sqrt.f64 (*.f64 l h))
accuracy	6.882158685119634	(sqrt.f64 (/.f64 d l))
accuracy	7.0479815660299625	(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) l)) (*.f64 d d))
accuracy	8.276272770991566	(sqrt.f64 (/.f64 d h))
accuracy	10.512349829373528	(/.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))
accuracy	0	(*.f64 l h)
accuracy	0.1171875	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	8.040927431792433	(sqrt.f64 (*.f64 l h))
accuracy	31.76832355265064	#s(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	3.0010575288333783	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	3.4147750771876297	(*.f64 (/.f64 M d) h)
accuracy	6.882158685119634	(sqrt.f64 (/.f64 d l))
accuracy	8.276272770991566	(sqrt.f64 (/.f64 d h))

Samples

179.0ms	132×	0	valid
76.0ms	124×	0	invalid

Compiler

Compiled 1 255 to 167 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-mult: 146.0ms (67.1% of total)

ival-div: 26.0ms (12% of total)

ival-pow: 19.0ms (8.7% of total)

ival-add: 8.0ms (3.7% of total)

ival-sqrt: 8.0ms (3.7% of total)

ival-neg: 6.0ms (2.8% of total)

ival-pow2: 3.0ms (1.4% of total)

ival-sub: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series208.0ms (1.1%)

Memory

9.5MiB live, 275.2MiB allocated

Counts

27 → 1 296

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
43.0ms	h	@	-inf	((/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (* (* (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) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (* d d)) (+ (* (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (* (+ (* (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/ d (sqrt (* l h)))) (* 1/4 (pow (/ (/ d D) M) -2)) (pow (/ (/ d D) M) -2) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ M d) h) (* (* (/ 1/2 d) M) D) (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (/ (/ d D) M) (* (/ 2 M) (/ d D)))
31.0ms	M	@	0	((/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (* (* (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) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (* d d)) (+ (* (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (* (+ (* (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/ d (sqrt (* l h)))) (* 1/4 (pow (/ (/ d D) M) -2)) (pow (/ (/ d D) M) -2) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ M d) h) (* (* (/ 1/2 d) M) D) (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (/ (/ d D) M) (* (/ 2 M) (/ d D)))
31.0ms	d	@	-inf	((/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (* (* (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) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (* d d)) (+ (* (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (* (+ (* (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/ d (sqrt (* l h)))) (* 1/4 (pow (/ (/ d D) M) -2)) (pow (/ (/ d D) M) -2) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ M d) h) (* (* (/ 1/2 d) M) D) (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (/ (/ d D) M) (* (/ 2 M) (/ d D)))
14.0ms	d	@	0	((/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (* (* (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) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (* d d)) (+ (* (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (* (+ (* (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/ d (sqrt (* l h)))) (* 1/4 (pow (/ (/ d D) M) -2)) (pow (/ (/ d D) M) -2) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ M d) h) (* (* (/ 1/2 d) M) D) (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (/ (/ d D) M) (* (/ 2 M) (/ d D)))
8.0ms	M	@	-inf	((/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (* (* (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) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (* d d)) (+ (* (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (* (+ (* (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/ d (sqrt (* l h)))) (* 1/4 (pow (/ (/ d D) M) -2)) (pow (/ (/ d D) M) -2) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ M d) h) (* (* (/ 1/2 d) M) D) (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (/ (/ d D) M) (* (/ 2 M) (/ d D)))

simplify242.0ms (1.2%)

Memory

-5.9MiB live, 417.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	338	23222
1	1020	22780
2	3702	22713
3	6777	22677
0	8404	22044

Stop Event

1×	iter limit
1×	node limit

Counts

1 296 → 1 296

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M 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 (.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 h l))) (*.f64 d d))) 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 h l))) (*.f64 d d))) 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 h l))) (*.f64 d d))) d)
(.f64 (.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (.f64 D D)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 d (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) l))) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 d (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) l))) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 d (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) l))) (.f64 d d))
(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(.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 (.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 h l))) (*.f64 d d))) 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 h l))) (*.f64 d d))) 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 h l))) (*.f64 d d))) d)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.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 (.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 h l))) (*.f64 d d))) 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 h l))) (*.f64 d d))) 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 h l))) (*.f64 d d))) d)
(.f64 (.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (.f64 D D)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 d (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) l))) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 d (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) l))) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 d (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) l))) (.f64 d d))
(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))
(.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 (.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 h l))) (*.f64 d d))) 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 h l))) (*.f64 d d))) 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 h l))) (*.f64 d d))) d)
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))
(.f64 (/.f64 (/.f64 (.f64 M M) d) d) (*.f64 D D))
(.f64 (/.f64 (/.f64 (.f64 M M) d) d) (*.f64 D D))
(.f64 (/.f64 (/.f64 (.f64 M M) d) d) (*.f64 D D))
(.f64 (/.f64 (/.f64 (.f64 M M) d) d) (*.f64 D D))
(.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 (.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 h l))) (*.f64 d d))) 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 h l))) (*.f64 d d))) 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 h l))) (*.f64 d d))) d)
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(fma.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 (*.f64 M M) D) D)) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(.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 (/.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 h l))))) (*.f64 D D))
(.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 h l))))) (*.f64 D D))
(.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 h l))))) (*.f64 D D))
(.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 (/.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 h l))))) (*.f64 D D))
(.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 h l))))) (*.f64 D D))
(.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 h l))))) (*.f64 D D))
(.f64 (.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (.f64 D D)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))))
(fma.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 (*.f64 M M) D) D)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 (*.f64 M M) D) D)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 (*.f64 M M) D) D)) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(.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 (/.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 h l))))) (*.f64 D D))
(.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 h l))))) (*.f64 D D))
(.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 h l))))) (*.f64 D D))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))
(.f64 (/.f64 (/.f64 (.f64 M M) d) d) (*.f64 D D))
(.f64 (/.f64 (/.f64 (.f64 M M) d) d) (*.f64 D D))
(.f64 (/.f64 (/.f64 (.f64 M M) d) d) (*.f64 D D))
(.f64 (/.f64 (/.f64 (.f64 M M) d) d) (*.f64 D D))
(.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 (/.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 h l))))) (*.f64 D D))
(.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 h l))))) (*.f64 D D))
(.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 h l))))) (*.f64 D D))
(.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)))))
(.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))
(.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))
(.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))
(.f64 (.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (.f64 D D)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))))
(fma.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 (*.f64 M M) D) D)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 (*.f64 M M) D) D)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 (*.f64 M M) D) D)) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 D D) h) l) #s(literal -1/8 binary64)) M) M)
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64) (.f64 d (/.f64 d (.f64 D D)))) D) D)
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64) (.f64 d (/.f64 d (.f64 D D)))) D) D)
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64) (.f64 d (/.f64 d (.f64 D D)))) D) D)
(/.f64 d (*.f64 D M))
(/.f64 d (*.f64 D M))
(/.f64 d (*.f64 D M))
(/.f64 d (*.f64 D M))
(.f64 (/.f64 d (.f64 D M)) #s(literal 2 binary64))
(.f64 (/.f64 d (.f64 D M)) #s(literal 2 binary64))
(.f64 (/.f64 d (.f64 D M)) #s(literal 2 binary64))
(.f64 (/.f64 d (.f64 D M)) #s(literal 2 binary64))

rewrite288.0ms (1.5%)

Memory

16.0MiB live, 401.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	477
0	138	469
1	436	464
2	3010	458
0	8795	458

Stop Event

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

Counts

27 → 1 174

Calls

Call 1

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

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

eval780.0ms (4%)

Memory: -143.0MiB live, 666.5MiB allocated
Compiler: Compiled 123 819 to 5 200 computations (95.8% saved)

prune193.0ms (1%)

Memory

-6.6MiB live, 386.4MiB allocated

Pruning

55 alts after pruning (53 fresh and 2 done)

	Pruned	Kept	Total
New	2 775	37	2 812
Fresh	28	16	44
Picked	4	1	5
Done	0	1	1
Total	2 807	55	2 862

Accuracy

96.3%

Counts

2 862 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.0%	(fma.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 d (sqrt.f64 (*.f64 l h))))
	33.3%	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	40.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	43.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	39.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	22.2%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	3.4%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	34.8%	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) d) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	28.8%	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	37.1%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	34.4%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	38.1%	(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	50.1%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 (/.f64 d l) (neg.f64 d)) (neg.f64 h))))
	53.6%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
▶	37.2%	(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))
	69.4%	(.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) D) d) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	39.5%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
	39.3%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
▶	69.6%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
	66.6%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) D) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	68.6%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.7%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	64.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M 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 #s(approx (/ (* (* (/ 1/2 d) M) D) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l))) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.9%	(.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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) h) d))))
	25.2%	(.f64 (.f64 #s(approx (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	37.6%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	22.2%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d 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))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
	19.1%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d 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 l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
	44.4%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (*.f64 d d)) d) d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	24.9%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	25.0%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	29.1%	(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M M) h) d) l) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	21.8%	(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	15.2%	(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 d (sqrt.f64 (.f64 l h))))
	35.5%	(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	8.8%	(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	24.9%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	37.4%	#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	25.8%	#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.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))
	20.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	14.5%	#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 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) (neg.f64 (sqrt.f64 (*.f64 h l))))))
	16.7%	#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))))
	16.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
▶	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
	21.0%	#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))))
✓	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	21.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	28.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	14.5%	#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 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
✓	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	32.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	30.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))
▶	38.7%	#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)))))

Compiler

Compiled 4 354 to 3 030 computations (30.4% saved)

simplify111.0ms (0.6%)

Memory

32.1MiB live, 189.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 d))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l))
cost-diff	0	(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))
cost-diff	320	(.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))
cost-diff	0	#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d)))
cost-diff	0	(.f64 #s(approx (+ ( (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 1 binary64) d))
cost-diff	0	(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) 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 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
cost-diff	320	(*.f64 #s(literal 1 binary64) d)
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	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
cost-diff	128	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l))
cost-diff	192	(fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64))
cost-diff	320	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	683
0	142	671
1	285	669
2	883	652
3	2974	652
4	6148	652
0	8213	647

Stop Event

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

Calls

Call 1

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

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

localize324.0ms (1.7%)

Memory

-35.0MiB live, 460.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.467411760306689	(.f64 (.f64 h (/.f64 M d)) D)
accuracy	2.4403471546520685	(*.f64 h (/.f64 M d))
accuracy	2.8207258410886165	(fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64))
accuracy	6.24347573284192	(sqrt.f64 (/.f64 d h))
accuracy	4.897967565577255	(fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (*.f64 d d))
accuracy	6.24347573284192	(sqrt.f64 (/.f64 d h))
accuracy	7.462862316513282	(sqrt.f64 (/.f64 d l))
accuracy	10.414379618576387	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))
accuracy	0.1484375	(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l)))
accuracy	2.021544680098123	(*.f64 (/.f64 h d) l)
accuracy	8.735646715354648	(sqrt.f64 (*.f64 (/.f64 h d) l))
accuracy	17.47770240431336	#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) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
accuracy	0	(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	0.078125	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	6.787664927077602	(sqrt.f64 (*.f64 l h))
accuracy	17.47770240431336	#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	2.4403471546520685	(*.f64 (/.f64 M d) h)
accuracy	2.8799030001980492	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l))
accuracy	6.162094982666948	(sqrt.f64 (/.f64 h d))
accuracy	7.462862316513282	(sqrt.f64 (/.f64 d l))

Samples

114.0ms	132×	0	invalid
106.0ms	124×	0	valid

Compiler

Compiled 1 318 to 177 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-mult: 83.0ms (52.4% of total)

ival-div: 33.0ms (20.8% of total)

ival-pow: 15.0ms (9.5% of total)

ival-sqrt: 13.0ms (8.2% of total)

ival-add: 5.0ms (3.2% of total)

ival-pow2: 3.0ms (1.9% of total)

ival-neg: 2.0ms (1.3% of total)

ival-fabs: 1.0ms (0.6% of total)

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series197.0ms (1%)

Memory

24.8MiB live, 170.8MiB allocated

Counts

30 → 1 356

Calls

Call 1

Inputs
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (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)))))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 d (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 l h))
(*.f64 #s(literal 1 binary64) d)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) d))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx (+ ( (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l)))
#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))
(.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 d))
(sqrt.f64 (/.f64 d l))
(sqrt.f64 (/.f64 h d))
(*.f64 (/.f64 M d) h)
(sqrt.f64 (*.f64 (/.f64 h d) l))
(*.f64 (/.f64 h d) l)
(sqrt.f64 (/.f64 d h))
(fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (*.f64 d d))
(fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64))
(*.f64 h (/.f64 M d))
(.f64 (.f64 h (/.f64 M d)) 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)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) 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)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -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))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(/ (+ (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)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
d
d
d
d
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* -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))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(/ (+ (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)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (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)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(* 1/8 (/ (* D (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* D (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* D (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* D (* (pow M 2) h)) (pow d 2)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* -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))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(/ (+ (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)) l) (sqrt (/ 1 (pow d 3)))))
(/ (+ (sqrt (pow d 5)) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) h)) l) (sqrt d)))) (pow d 2))
(/ (+ (sqrt (pow d 5)) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) h)) l) (sqrt d)))) (pow d 2))
(/ (+ (sqrt (pow d 5)) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) h)) l) (sqrt d)))) (pow d 2))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(sqrt (/ (* h l) d))
(sqrt (/ (* h l) d))
(sqrt (/ (* h l) d))
(sqrt (/ (* h l) d))
(/ (* h l) d)
(/ (* h l) d)
(/ (* h l) d)
(/ (* h l) d)
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) 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)) 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) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(sqrt (/ d l))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
d
d
d
d
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
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(* (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) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d 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)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) h)) l) (sqrt (/ 1 (pow d 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) h) l) (sqrt (/ 1 (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt d))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) h) l) (sqrt (/ 1 (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt d))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) h) l) (sqrt (/ 1 (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt d))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) l)) (/ (pow d 2) (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) l)) (/ (pow d 2) (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) l)) (/ (pow d 2) (pow D 2))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (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) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (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) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* (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) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d 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)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* (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) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d 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)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (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) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (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) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* 1/8 (/ (* D (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* D (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* D (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* D (* (pow M 2) h)) (pow d 2)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* (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) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d 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)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) h)) l) (sqrt (/ 1 (pow d 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) h) l) (sqrt (/ 1 (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt d))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) h) l) (sqrt (/ 1 (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt d))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) h) l) (sqrt (/ 1 (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt d))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) l)) (/ (pow d 2) (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) l)) (/ (pow d 2) (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) l)) (/ (pow d 2) (pow D 2))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (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) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)

Calls

15 calls:

Time	Variable		Point	Expression
46.0ms	M	@	inf	((* (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (/ 1 (sqrt (/ h d)))) (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (* (* (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)) (* 1 d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 d)) (sqrt (* (/ h d) l))) (sqrt (* 1 d)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (* d d)) (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (* (/ (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt (/ d h))) (/ (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt (/ d l)) (sqrt (/ h d)) (* (/ M d) h) (sqrt (* (/ h d) l)) (* (/ h d) l) (sqrt (/ d h)) (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (* h (/ M d)) (* (* h (/ M d)) D))
32.0ms	l	@	0	((* (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (/ 1 (sqrt (/ h d)))) (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (* (* (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)) (* 1 d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 d)) (sqrt (* (/ h d) l))) (sqrt (* 1 d)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (* d d)) (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (* (/ (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt (/ d h))) (/ (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt (/ d l)) (sqrt (/ h d)) (* (/ M d) h) (sqrt (* (/ h d) l)) (* (/ h d) l) (sqrt (/ d h)) (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (* h (/ M d)) (* (* h (/ M d)) D))
22.0ms	d	@	-inf	((* (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (/ 1 (sqrt (/ h d)))) (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (* (* (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)) (* 1 d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 d)) (sqrt (* (/ h d) l))) (sqrt (* 1 d)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (* d d)) (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (* (/ (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt (/ d h))) (/ (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt (/ d l)) (sqrt (/ h d)) (* (/ M d) h) (sqrt (* (/ h d) l)) (* (/ h d) l) (sqrt (/ d h)) (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (* h (/ M d)) (* (* h (/ M d)) D))
19.0ms	D	@	-inf	((* (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (/ 1 (sqrt (/ h d)))) (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (* (* (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)) (* 1 d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 d)) (sqrt (* (/ h d) l))) (sqrt (* 1 d)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (* d d)) (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (* (/ (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt (/ d h))) (/ (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt (/ d l)) (sqrt (/ h d)) (* (/ M d) h) (sqrt (* (/ h d) l)) (* (/ h d) l) (sqrt (/ d h)) (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (* h (/ M d)) (* (* h (/ M d)) D))
8.0ms	h	@	-inf	((* (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (/ 1 (sqrt (/ h d)))) (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (* (* (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)) (* 1 d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 d)) (sqrt (* (/ h d) l))) (sqrt (* 1 d)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (* d d)) (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (* (/ (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt (/ d h))) (/ (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (* (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt (/ d l)) (sqrt (/ h d)) (* (/ M d) h) (sqrt (* (/ h d) l)) (* (/ h d) l) (sqrt (/ d h)) (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (* h (/ M d)) (* (* h (/ M d)) D))

simplify413.0ms (2.1%)

Memory

8.3MiB live, 369.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	320	22249
1	953	21673
2	3427	21579
3	7686	21579
0	8038	20967

Stop Event

1×	iter limit
1×	node limit

Counts

1 356 → 1 344

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

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

rewrite301.0ms (1.5%)

Memory

-13.1MiB live, 289.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	527
0	142	507
1	487	502
2	3327	490
0	8236	485

Stop Event

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

Counts

30 → 863

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 h)) (sqrt.f64 d))
(.f64 (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (.f64 d (/.f64 d h)))) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 d) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 (/.f64 d h) l)))
(.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))
(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64))))
(pow.f64 (.f64 (sqrt.f64 (/.f64 h d)) (/.f64 (sqrt.f64 (/.f64 l d)) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 l d)) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 h d)) (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 l) (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h))))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 d (sqrt.f64 (.f64 h l)))) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 h l)))) (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))))))
(/.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 d)) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (neg.f64 (sqrt.f64 l)))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
(/.f64 (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (.f64 (neg.f64 (sqrt.f64 d)) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 l)))
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(pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))))) (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))) #s(literal 2 binary64)) (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))))) (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) l) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) M)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64))) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 h (/.f64 M d)) D)) (.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) (.f64 (/.f64 (neg.f64 D) l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1/4 binary64)) D #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) (.f64 (/.f64 (neg.f64 D) l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) D) #s(literal 1/4 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 #s(literal 1/4 binary64) (*.f64 h (/.f64 M d)))) D #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 #s(literal 1/4 binary64) D)) (*.f64 h (/.f64 M d)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1/4 binary64)) (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 M d)) (.f64 (*.f64 #s(literal 1/4 binary64) D) h) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1/4 binary64)) (.f64 (.f64 h (/.f64 M d)) D)) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 D) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))) (pow.f64 l #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (neg.f64 D) l)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (.f64 (/.f64 (neg.f64 D) l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 h (/.f64 M d)) (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (.f64 (.f64 #s(literal 1/4 binary64) D) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 h (/.f64 M d)) (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (*.f64 #s(literal 1/4 binary64) D) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) #s(literal 1 binary64))
(fma.f64 (neg.f64 D) (.f64 (pow.f64 l #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) (.f64 (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (*.f64 h (/.f64 M d)) D)) (/.f64 (neg.f64 D) l) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 (/.f64 (neg.f64 D) l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 h (/.f64 M d)) D) (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 h (/.f64 M d)) D) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (neg.f64 D) l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (.f64 (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (neg.f64 l)) #s(literal 1 binary64))
(fma.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/4 binary64) D) (.f64 (.f64 h (/.f64 M d)) (.f64 (/.f64 (neg.f64 D) l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 h (/.f64 M d)) D) (.f64 (/.f64 (neg.f64 D) l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (.f64 h (/.f64 M d)) (.f64 (.f64 #s(literal 1/4 binary64) D) (.f64 (/.f64 (neg.f64 D) l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (/.f64 M d) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) h) (.f64 (/.f64 (neg.f64 D) l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) (.f64 (.f64 (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (/.f64 (neg.f64 D) l)) #s(literal 1 binary64))
(fma.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))) #s(literal 2 binary64)) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D))))
(*.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 M d))
(*.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 h d))
(.f64 (.f64 h M) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (/.f64 h d) (/.f64 M #s(literal 1 binary64)))
(*.f64 h (/.f64 M d))
(*.f64 (/.f64 M d) (/.f64 h #s(literal 1 binary64)))
(*.f64 (/.f64 M d) h)
(*.f64 M (/.f64 h d))
(pow.f64 (/.f64 d (*.f64 h M)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 h M) #s(literal 1 binary64)) d)
(/.f64 (*.f64 (neg.f64 M) h) (neg.f64 d))
(/.f64 (*.f64 #s(literal 1 binary64) h) (/.f64 d M))
(/.f64 (*.f64 h (neg.f64 M)) (neg.f64 d))
(/.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 d M))
(/.f64 (neg.f64 (*.f64 h M)) (neg.f64 d))
(/.f64 (*.f64 h M) d)
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 h M)))
(/.f64 (*.f64 h (/.f64 M d)) #s(literal 1 binary64))
(/.f64 h (/.f64 d M))
(.f64 (.f64 D h) (/.f64 M d))
(.f64 (.f64 (/.f64 M d) D) h)
(.f64 (.f64 h (/.f64 M d)) D)
(.f64 h (.f64 (/.f64 M d) D))
(.f64 (/.f64 M d) (.f64 h D))
(.f64 D (.f64 h (/.f64 M d)))
(/.f64 (.f64 (.f64 h M) D) d)
(/.f64 (.f64 D (.f64 h M)) d)

eval405.0ms (2.1%)

Memory: 15.3MiB live, 562.9MiB allocated
Compiler: Compiled 113 375 to 3 534 computations (96.9% saved)

prune179.0ms (0.9%)

Memory

-3.3MiB live, 426.6MiB allocated

Pruning

67 alts after pruning (63 fresh and 4 done)

	Pruned	Kept	Total
New	2 305	22	2 327
Fresh	7	41	48
Picked	3	2	5
Done	0	2	2
Total	2 315	67	2 382

Accuracy

96.4%

Counts

2 382 → 67

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.0%	(fma.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 d (sqrt.f64 (*.f64 l h))))
	33.3%	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	40.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	43.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	38.0%	(/.f64 (.f64 (.f64 (sqrt.f64 d) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (.f64 h l)))
	22.2%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	42.5%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (neg.f64 (sqrt.f64 d)) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)))) (.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))
	3.4%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	34.8%	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) d) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	28.8%	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	38.1%	(.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	37.1%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	34.4%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	50.1%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 (/.f64 d l) (neg.f64 d)) (neg.f64 h))))
	53.6%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
	36.2%	(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 #s(literal 1/4 binary64) D)) (*.f64 h (/.f64 M d)) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))
✓	37.2%	(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))
	10.8%	(.f64 (/.f64 #s(approx ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 d)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 D D)) (sqrt.f64 (pow.f64 d #s(literal 5 binary64)))) (.f64 d d))) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))
	69.4%	(.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) D) d) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	39.5%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
	39.3%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
	66.4%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (neg.f64 D)) (.f64 d l)) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
	66.6%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) D) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	68.6%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.7%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	64.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M 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 #s(approx (/ (* (* (/ 1/2 d) M) D) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l))) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.9%	(.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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) h) d))))
	27.1%	(.f64 (.f64 #s(approx (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
	36.7%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 M l) M) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	39.8%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64)) D) D (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	21.2%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
	20.3%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
	37.6%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 d h)))
	21.5%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
	38.3%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 h (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 M l) M)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	44.4%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (*.f64 d d)) d) d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	23.3%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64)) D) D)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	24.9%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	25.0%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	27.9%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.5%	(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d))))
	35.5%	(.f64 #s(approx (/ ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	29.1%	(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M M) h) d) l) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	21.8%	(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	15.2%	(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 d (sqrt.f64 (.f64 l h))))
	8.4%	(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
	8.8%	(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	24.9%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	37.4%	#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	25.8%	#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.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))
	20.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	14.5%	#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 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) (neg.f64 (sqrt.f64 (*.f64 h l))))))
	16.7%	#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))))
	4.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (*.f64 l (/.f64 h d)))))))
	21.0%	#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))))
✓	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	38.4%	#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(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (fabs.f64 d))))
	21.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	28.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	14.5%	#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 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
✓	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	32.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	30.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))
✓	38.7%	#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)))))

Compiler

Compiled 8 130 to 2 648 computations (67.4% saved)

regimes386.0ms (2%)

Memory

0.8MiB live, 526.3MiB allocated

Counts

135 → 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 (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.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)))) (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 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (fabs.f64 d))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))
#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 (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.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 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D))) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 (/.f64 d l) (neg.f64 d)) (neg.f64 h))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d 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 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(fma.f64 (/.f64 h l) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -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)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l 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)))))
(.f64 (/.f64 #s(approx ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 d)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 D D)) (sqrt.f64 (pow.f64 d #s(literal 5 binary64)))) (.f64 d d))) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (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 (.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))
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.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))
#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 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 M M)) (.f64 D D)) (/.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))
(.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 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.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 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) 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)))) (-.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 #s(literal 2 binary64) M) (/.f64 d 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))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #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)))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) 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 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) 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 #s(literal 1/2 binary64) d) D) M) 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)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l) 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 (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 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) 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 (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 #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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) h) d))))

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

Calls

7 calls:

81.0ms	h
62.0ms	D
56.0ms	l
53.0ms	d
51.0ms	M

Results

Accuracy	Segments	Branch
85.6%	2	`d`
85.6%	2	`h`
87.2%	3	`l`
69.8%	1	`M`
69.8%	1	`D`
80.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
69.8%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes64.0ms (0.3%)

Memory

-1.3MiB live, 76.1MiB allocated

Counts

120 → 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))
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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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal -1 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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)))))))
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.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)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d 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 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d h) (/.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 (.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)))
#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 (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.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 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D))) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 (/.f64 d l) (neg.f64 d)) (neg.f64 h))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d 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 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(fma.f64 (/.f64 h l) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -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)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l 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)))))
(.f64 (/.f64 #s(approx ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 d)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 D D)) (sqrt.f64 (pow.f64 d #s(literal 5 binary64)))) (.f64 d d))) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (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 (.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))
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.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))
#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 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 M M)) (.f64 D D)) (/.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))
(.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 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.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))))))

Outputs

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

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

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

Calls

1 calls:

41.0ms

Results

Accuracy	Segments	Branch
87.1%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes177.0ms (0.9%)

Memory

-32.4MiB live, 127.0MiB allocated

Counts

111 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 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 (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.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)))) (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 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (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 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.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 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx (/ ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.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 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (*.f64 l (/.f64 h d)))))))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
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(fma.f64 (/.f64 h l) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -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)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l 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)))))
(.f64 (/.f64 #s(approx ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 d)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 D D)) (sqrt.f64 (pow.f64 d #s(literal 5 binary64)))) (.f64 d d))) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))

Outputs

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

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

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

Calls

3 calls:

59.0ms	l
55.0ms	h
30.0ms	d

Results

Accuracy	Segments	Branch
82.8%	2	`d`
85.1%	3	`h`
84.8%	3	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes174.0ms (0.9%)

Memory

20.4MiB live, 94.4MiB allocated

Counts

77 → 4

Calls

Call 1

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

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

Calls

3 calls:

85.0ms	d
63.0ms	l
21.0ms	h

Results

Accuracy	Segments	Branch
82.2%	3	`d`
83.8%	4	`l`
84.5%	4	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes123.0ms (0.6%)

Memory

-6.6MiB live, 119.2MiB allocated

Counts

76 → 4

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	d
36.0ms	l
35.0ms	h

Results

Accuracy	Segments	Branch
81.4%	3	`d`
81.0%	3	`l`
83.2%	4	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes161.0ms (0.8%)

Memory

10.9MiB live, 122.0MiB allocated

Counts

75 → 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 (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.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)))) (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 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (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 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.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 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx (/ ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.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 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (*.f64 l (/.f64 h d)))))))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M M) h) d) l) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d))) (.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 (/.f64 D d) M) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #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 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) (neg.f64 (sqrt.f64 (*.f64 h l))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
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(.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) d) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64)) D) D)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 h (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 M l) M)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d 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 l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64)) D) D (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 M l) M) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) D) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (*.f64 d d)) d) d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 #s(approx (/ (* (* (/ 1/2 d) M) D) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l))) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 M l) (.f64 (/.f64 #s(literal 1/2 binary64) d) D)) (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 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) D) d) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d 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 l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (sqrt.f64 d) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (.f64 h l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (neg.f64 D)) (.f64 d l)) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d 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))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(fma.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.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 (pow.f64 h #s(literal -1 binary64)) l)) d))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 (neg.f64 D) l) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 #s(literal 1/4 binary64) D)) (*.f64 h (/.f64 M d)) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))

Outputs

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

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

Calls

4 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))))
46.0ms	l
35.0ms	h
21.0ms	d

Results

Accuracy	Segments	Branch
76.9%	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))))`
76.9%	3	`l`
77.3%	3	`d`
79.9%	4	`h`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes30.0ms (0.2%)

Memory

-20.6MiB live, 27.8MiB allocated

Counts

56 → 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 (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.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)))) (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 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (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 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.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 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx (/ ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.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 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (*.f64 l (/.f64 h d)))))))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M M) h) d) l) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d))) (.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 (/.f64 D d) M) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #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 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) (neg.f64 (sqrt.f64 (*.f64 h l))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) d) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64)) D) D)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 h (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 M l) M)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d 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 l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64)) D) D (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 M l) M) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) D) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (*.f64 d d)) d) d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 #s(approx (/ (* (* (/ 1/2 d) M) D) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l))) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 M l) (.f64 (/.f64 #s(literal 1/2 binary64) d) D)) (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 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

Outputs

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

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

Calls

1 calls:

27.0ms

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

Results

Accuracy	Segments	Branch
76.9%	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)

regimes57.0ms (0.3%)

Memory

19.7MiB live, 57.1MiB 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 (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.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)))) (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 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (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 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.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 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx (/ ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.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 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (*.f64 l (/.f64 h d)))))))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M M) h) d) l) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d))) (.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 (/.f64 D d) M) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #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 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) (neg.f64 (sqrt.f64 (*.f64 h l))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) d) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64)) D) D)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 h (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 M l) M)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d 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 l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64)) D) D (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 M l) M) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) D) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (*.f64 d d)) d) d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 #s(approx (/ (* (* (/ 1/2 d) M) D) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l))) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 M l) (.f64 (/.f64 #s(literal 1/2 binary64) d) D)) (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 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

Outputs

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

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

Calls

3 calls:

24.0ms

16.0ms

14.0ms

(*.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
74.8%	3	`d`
77.0%	4	`h`
75.7%	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 37 to 32 computations (13.5% saved)

regimes71.0ms (0.4%)

Memory

-14.6MiB live, 58.9MiB allocated

Counts

54 → 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 (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.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)))) (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 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (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 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.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 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx (/ ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.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 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (*.f64 l (/.f64 h d)))))))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M M) h) d) l) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d))) (.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 (/.f64 D d) M) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #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 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) (neg.f64 (sqrt.f64 (*.f64 h l))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) d) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* -1/8 (* D D)) (* h (/ (* M M) l))) (* d d)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* (* (* (* D D) -1/8) h) M) (/ M l)) (* d d)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64)) D) D)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 h (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 M l) M)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d 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 l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64)) D) D (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 M l) M) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) D) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h) M) (/.f64 M l) (*.f64 d d)) d) d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 #s(approx (/ (* (* (/ 1/2 d) M) D) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l))) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 M l) (.f64 (/.f64 #s(literal 1/2 binary64) d) D)) (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 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 l)) (.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

Outputs

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

2 calls:

37.0ms

(*.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))))

15.0ms

Results

Accuracy	Segments	Branch
71.5%	2	`l`
75.1%	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 36 to 27 computations (25% saved)

regimes16.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

51 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
77.0%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes127.0ms (0.7%)

Memory

0.2MiB live, 230.6MiB allocated

Counts

48 → 4

Calls

Call 1

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

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

Calls

7 calls:

31.0ms	(.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))))
18.0ms	M
15.0ms	h
15.0ms	D
15.0ms	l

Results

Accuracy	Segments	Branch
56.0%	3	`D`
57.3%	2	`M`
59.5%	3	`(*.f64 M D)`
63.7%	2	`l`
66.7%	3	`d`
67.4%	3	`h`
70.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes25.0ms (0.1%)

Memory

20.8MiB live, 57.7MiB allocated

Counts

38 → 4

Calls

Call 1

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

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

Calls

2 calls:

12.0ms

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

11.0ms

Results

Accuracy	Segments	Branch
59.8%	3	`h`
68.7%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes41.0ms (0.2%)

Memory

-6.8MiB live, 70.8MiB allocated

Counts

36 → 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 (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.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)))) (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 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (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 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.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 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx (/ ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.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 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (*.f64 l (/.f64 h d)))))))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M M) h) d) l) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d))) (.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 (/.f64 D d) M) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #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 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) (neg.f64 (sqrt.f64 (*.f64 h l))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))) d) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))

Outputs

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

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

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

Calls

3 calls:

16.0ms

10.0ms

(*.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
57.3%	2	`l`
57.2%	2	`d`
61.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes14.0ms (0.1%)

Memory

0.8MiB live, 38.0MiB allocated

Counts

34 → 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 (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.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)))) (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 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (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 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.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 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx (/ ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.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 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (*.f64 l (/.f64 h d)))))))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M M) h) d) l) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d))) (.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 (/.f64 D d) M) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #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 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) (neg.f64 (sqrt.f64 (*.f64 h l))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 D) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))

Outputs

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

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
61.1%	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)

regimes68.0ms (0.3%)

Memory

3.0MiB live, 123.7MiB allocated

Counts

32 → 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 (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.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)))) (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 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (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 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.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 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx (/ ( (+ (* (* (* (* (* h (/ M d)) D) 1/4) (* M (/ 1/2 d))) (/ (neg D) l)) 1) (sqrt d)) (sqrt l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.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 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (*.f64 l (/.f64 h d)))))))
(.f64 #s(approx ( (+ (* (/ (* (* (/ 1/2 d) M) D) (neg l)) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) l) #s(literal -1/8 binary64)) M) M (.f64 d d)) (.f64 d d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M M) h) d) l) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d))) (.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 (/.f64 D d) M) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #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 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) (neg.f64 (sqrt.f64 (*.f64 h l))))))

Outputs

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

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

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

Calls

5 calls:

23.0ms	l
14.0ms	(.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))))
10.0ms	(*.f64 M D)
9.0ms	M
9.0ms	h

Results

Accuracy	Segments	Branch
45.9%	2	`M`
56.6%	3	`l`
48.8%	2	`(*.f64 M D)`
56.1%	3	`h`
58.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 41 to 43 computations (-4.9% saved)

regimes51.0ms (0.3%)

Memory

-22.6MiB live, 135.1MiB allocated

Counts

30 → 4

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	D
10.0ms	d
10.0ms	l
9.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
9.0ms	h

Results

Accuracy	Segments	Branch
44.1%	2	`D`
50.9%	3	`h`
52.2%	3	`l`
51.8%	3	`d`
57.3%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 39 to 42 computations (-7.7% saved)

regimes10.0ms (0%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
54.7%	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 35 to 22 computations (37.1% saved)

regimes10.0ms (0.1%)

Memory

-20.6MiB live, 18.1MiB allocated

Counts

28 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
56.1%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes9.0ms (0%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

27 → 4

Calls

Call 1

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

Outputs
(.f64 #s(approx (+ ( (* 1/4 (pow (/ (/ d D) M) -2)) (* (/ h l) -1/2)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) 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)))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (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
55.6%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes41.0ms (0.2%)

Memory

-4.3MiB live, 73.7MiB allocated

Counts

26 → 4

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	l
8.0ms	d
8.0ms	h
7.0ms	(*.f64 M D)
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
42.1%	2	`(*.f64 M D)`
44.2%	3	`h`
41.2%	2	`d`
41.7%	2	`l`
51.3%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 41 to 43 computations (-4.9% saved)

regimes15.0ms (0.1%)

Memory

-13.4MiB live, 27.5MiB allocated

Counts

19 → 4

Calls

Call 1

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

Calls

2 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
38.7%	1	`M`
48.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes6.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

15 → 4

Calls

Call 1

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

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

5.0ms

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

Results

Accuracy	Segments	Branch
47.3%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes14.0ms (0.1%)

Memory

-11.0MiB live, 27.9MiB allocated

Counts

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

Calls

4 calls:

3.0ms	D
3.0ms	h
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
38.7%	1	`(*.f64 M D)`
41.6%	2	`h`
41.5%	2	`D`
42.0%	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 40 to 38 computations (5% saved)

regimes12.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

4 → 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))

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

5 calls:

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

Results

Accuracy	Segments	Branch
38.7%	1	`d`
38.7%	1	`D`
38.7%	1	`h`
38.7%	1	`l`
40.4%	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 39 to 42 computations (-7.7% saved)

regimes11.0ms (0.1%)

Memory

-13.1MiB live, 26.1MiB 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	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	M
1.0ms	D
1.0ms	h

Results

Accuracy	Segments	Branch
21.6%	1	`h`
21.6%	1	`M`
21.6%	1	`(*.f64 M D)`
21.6%	1	`d`
21.6%	1	`l`
21.6%	1	`D`
21.6%	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)

bsearch170.0ms (0.9%)

Memory

-13.4MiB live, 229.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
60.0ms	4.602712254886492e-252	6.835121654435098e-244
65.0ms	-6.430560524779593e-180	-6.766334868531083e-187

Samples

52.0ms	333×	0	invalid
48.0ms	288×	0	valid

Compiler

Compiled 1 307 to 1 011 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-div: 23.0ms (30.4% of total)

ival-mult: 21.0ms (27.8% of total)

ival-pow: 21.0ms (27.8% of total)

ival-pow2: 6.0ms (7.9% of total)

ival-sub: 3.0ms (4% of total)

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

exact: 1.0ms (1.3% of total)

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

bsearch87.0ms (0.4%)

Memory

25.8MiB live, 64.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.855414256617168e-271	3.755770877731549e-269
74.0ms	-6.430560524779593e-180	-6.766334868531083e-187

Samples

50.0ms	117×	0	invalid
21.0ms	128×	0	valid

Compiler

Compiled 671 to 551 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 9.0ms (30.5% of total)

ival-mult: 8.0ms (27.1% of total)

ival-pow: 8.0ms (27.1% of total)

ival-pow2: 3.0ms (10.2% of total)

ival-sub: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch251.0ms (1.3%)

Memory

5.4MiB live, 159.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
124.0ms	-4.924153646552325e-307	2.2722755794462987e-307
116.0ms	-2.2087014020566214e-67	-4.645330983873909e-74

Samples

122.0ms	255×	0	invalid
69.0ms	272×	0	valid

Compiler

Compiled 1 219 to 922 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-pow: 86.0ms (50% of total)

ival-div: 59.0ms (34.3% of total)

ival-mult: 17.0ms (9.9% of total)

ival-pow2: 6.0ms (3.5% of total)

ival-sub: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

bsearch101.0ms (0.5%)

Memory

-11.7MiB live, 64.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
92.0ms	4.206793606411318e+81	5.1170679584908844e+82
2.0ms	-4.924153646552325e-307	2.2722755794462987e-307
2.0ms	-2.2087014020566214e-67	-4.645330983873909e-74

Samples

45.0ms	96×	0	valid
13.0ms	90×	0	invalid

Compiler

Compiled 1 523 to 1 176 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 36.0ms (69.8% of total)

ival-mult: 6.0ms (11.6% of total)

ival-pow: 6.0ms (11.6% of total)

ival-pow2: 2.0ms (3.9% of total)

ival-sub: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch71.0ms (0.4%)

Memory

19.5MiB live, 66.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	4.206793606411318e+81	5.1170679584908844e+82
2.0ms	-4.924153646552325e-307	2.2722755794462987e-307
63.0ms	-4.3259655363320553e-240	-7.731914131778797e-242

Samples

37.0ms	75×	0	invalid
19.0ms	112×	0	valid

Compiler

Compiled 1 535 to 1 147 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 33.0ms (67.8% of total)

ival-mult: 6.0ms (12.3% of total)

ival-pow: 6.0ms (12.3% of total)

ival-pow2: 2.0ms (4.1% of total)

ival-sub: 1.0ms (2.1% 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

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch27.0ms (0.1%)

Memory

-38.0MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.139780509223895e+95	1.6705816486683483e+110

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244
0.0ms	-5.351591411981937e-161	-0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244
0.0ms	-1.5077522810728459e+102	-8.984562088877506e+83

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244
0.0ms	-inf	-1.3580911764499952e+303

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244
0.0ms	-3.833039329727907e-73	-1.1211143041941689e-98

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244
0.0ms	-3.833039329727907e-73	-1.1211143041941689e-98

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244
0.0ms	-1.2842378150032846e+127	-4.0805816538526635e+117

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244
0.0ms	-5.351591411981937e-161	-0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.481347840427742e+247	+inf
0.0ms	0.0	1.2821110241607202e-244
0.0ms	-3.833039329727907e-73	-1.1211143041941689e-98

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.139780509223895e+95	1.6705816486683483e+110
0.0ms	1.8983448620040445e-150	1.786923858993291e-141
0.0ms	-3.833039329727907e-73	-1.1211143041941689e-98

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.833039329727907e-73	-1.1211143041941689e-98

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.483399976101304e-41	-3.833039329727907e-73

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify303.0ms (1.5%)

Memory

4.1MiB live, 83.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	302	4344
1	433	4344
2	522	4344
3	628	4338
4	731	4338
5	847	4338
6	1120	4338
7	1408	4338
8	1448	4338
9	1474	4338
10	1499	4338
11	1523	4338
12	1573	4338
13	1698	4338
14	1866	4338
15	2052	4338
16	2234	4338
17	2366	4338
18	2458	4338
19	2527	4338
20	2605	4338
21	2731	4338
22	3014	4338
23	3379	4338
24	3910	4338
25	4221	4338
26	4326	4338
27	4370	4338
28	4575	4338
29	4758	4338
30	4894	4338
31	4969	4338
32	5002	4338
33	5006	4338
34	5007	4338

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 l #s(literal -6697692026289335/19136262932255243894327540630475154705164967900866663911068029494595001430924024396931296128159696131577158553613765316960850876967683885097823130383956161858642094270647956721192399556036699204091904 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 l #s(literal 8383580206010313/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816 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 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) h) d)))) (/.f64 (.f64 (sqrt.f64 d) (.f64 (neg.f64 (sqrt.f64 d)) (fma.f64 (/.f64 (neg.f64 D) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (.f64 h (/.f64 M d)) D)) #s(literal 1 binary64)))) (.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))))
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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 h l))))

soundness2.5s (12.6%)

Memory

-42.3MiB live, 2 336.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
0	38	68
1	124	67
2	828	67
0	8730	65
0	75	305
0	125	290
1	426	275
2	3278	263
0	10541	263
0	320	22249
1	953	21673
2	3427	21579
3	7686	21579
0	8038	20967
0	238	13594
1	682	13150
2	2445	13087
3	5559	13045
0	8315	12793
0	147	3951
1	413	3789
2	1500	3752
3	4172	3682
4	7950	3682
0	8170	3598
0	88	527
0	142	507
1	487	502
2	3327	490
0	8236	485
0	85	477
0	138	469
1	436	464
2	3010	458
0	8795	458
0	338	23222
1	1020	22780
2	3702	22713
3	6777	22677
0	8404	22044

Stop Event

1×	fuel
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×	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

Compiler

Compiled 8 490 to 2 892 computations (65.9% saved)

preprocess224.0ms (1.1%)

Memory: 41.9MiB live, 544.1MiB allocated
Remove: (abs M)
Compiler: Compiled 11 342 to 1 986 computations (82.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated