Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze323.0ms (3%)

Memory

117.0MiB live, 117.0MiB 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)

sample4.2s (39.2%)

Memory

1 248.8MiB live, 1 248.8MiB allocated

Samples

1.8s	12 863×	0	invalid
1.3s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-div: 741.0ms (31.5% of total)

ival-mult: 670.0ms (28.5% of total)

ival-pow: 542.0ms (23% of total)

ival-pow2: 239.0ms (10.2% of total)

ival-sub: 104.0ms (4.4% of total)

exact: 28.0ms (1.2% of total)

ival-true: 18.0ms (0.8% of total)

ival-assert: 11.0ms (0.5% of total)

Bogosity

explain435.0ms (4.1%)

Memory

182.9MiB live, 182.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
61	0	-	38	(1.6661516645066213e+43 4.621331425823692e-188 2.840194106300561e-293 -4.377700069925012e-251 -3.6678253558565166e+93)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
57	0	-	39	(7.406606841000619e+142 1.0972669767148859e-271 1.2182375345289053e-5 -1.0756173696781023e+249 1.88694630400512e-230)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
36	0	-	2	(-1.5516791285512564e+302 -1.117184195089175e+253 -7.766011487280854e+45 3.9023154271725776e-153 -4.0868419136270376e+294)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
23	0	-	1	(-4.1190405254465014e-79 -2.3058743027797263e-73 -1.2121692598730057e+109 -2.7043152072384236e-42 -1.2337289021402406e-274)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
15	9	(-7.047801999133166e+38 -2.8996456448812525e+104 -1.1657896834924846e-297 2.5873896683732352e+302 7.824336041548839e-19)	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))))`
1	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)))`
0	0	-	0	-	`D`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	0	-	0	-	`(/.f64 h l)`
0	0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	0	-	0	-	`d`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 d l)`
0	0	-	0	-	`(*.f64 M D)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	0	-	`(/.f64 d h)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`l`
0	0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	0	-	0	-	`M`
0	0	-	0	-	`h`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	23	0
↳	`(/.f64 d l)`	underflow	23
`*.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**	18	0
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	18	0
↳	`(/.f64 d h)`	underflow	18
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	13	0
↳	`(*.f64 M D)`	overflow	33
`*.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**	9	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**	5	0
↳	`(/.f64 d h)`	underflow	18
↳	`(/.f64 d l)`	underflow	23
↳	`(*.f64 (pow.f64 (/.f64 d 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	10
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	78
↳	`(.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	77
↳	`(/.f64 h l)`	overflow	29
↳	`(-.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	81
↳	`(.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	81
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	37
`*.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**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	78
↳	`(.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	77
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	37
↳	`(/.f64 h l)`	underflow	34
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	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)))`	underflow	83
↳	`(*.f64 M D)`	underflow	29
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	37
↳	`(/.f64 h l)`	overflow	29
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	1	0
`*.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)))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	49	30
-	21	156

Precision

0.7

Recall

0.620253164556962

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	49	0	30
-	21	0	156

Precision?

0.7

Recall?

0.620253164556962

Freqs

test

number	freq
0	186
1	48
2	20
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

101.0ms

512×

valid

Compiler

Compiled 655 to 186 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-pow: 21.0ms (30.2% of total)

ival-div: 19.0ms (27.3% of total)

ival-mult: 19.0ms (27.3% of total)

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

ival-sub: 3.0ms (4.3% of total)

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

exact: 1.0ms (1.4% of total)

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

preprocess137.0ms (1.3%)

Memory

32.3MiB live, 32.3MiB 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 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

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

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #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

▶

70.7%

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

simplify96.0ms (0.9%)

Memory

24.9MiB live, 24.9MiB 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 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

localize68.0ms (0.6%)

Memory

21.8MiB live, 21.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.077105324449675	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	8.26289858148226	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	13.300274492724002	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	14.156878118679806	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

50.0ms

256×

valid

Compiler

Compiled 310 to 46 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 10.0ms (29.3% of total)

ival-pow: 10.0ms (29.3% of total)

ival-mult: 9.0ms (26.4% of total)

ival-pow2: 3.0ms (8.8% of total)

ival-sub: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.4%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

6 → 17

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 M D) (.f64 #s(literal 2 binary64) d))

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

Calls

15 calls:

Time	Variable		Point	Expression
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)) (/ (* M D) (* 2 d)))
5.0ms	M	@	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)) (/ (* M D) (* 2 d)))
4.0ms	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)) (/ (* M D) (* 2 d)))
3.0ms	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)) (/ (* M D) (* 2 d)))
3.0ms	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)) (/ (* M D) (* 2 d)))

simplify125.0ms (1.2%)

Memory

32.6MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	223
1	172	201
2	621	201
3	3317	201
4	5952	201
5	7968	201
0	8078	194

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite157.0ms (1.5%)

Memory

48.6MiB live, 48.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	50
0	34	48
1	114	48
2	719	48
3	7801	48
0	8835	47

Stop Event

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

Counts

6 → 393

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 M D) (.f64 #s(literal 2 binary64) d))

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

eval64.0ms (0.6%)

Memory: 41.4MiB live, 41.4MiB allocated
Compiler: Compiled 17 549 to 1 978 computations (88.7% saved)

prune34.0ms (0.3%)

Memory

26.6MiB live, 26.6MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	382	22	404
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	383	22	405

Accuracy

90.2%

Counts

405 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.7%	(.f64 (.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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))))
	70.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 l d) #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))))
	73.1%	(.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) M) D)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64)))
	69.3%	(.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)))) (fma.f64 (.f64 #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) D) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
▶	74.8%	(.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) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	65.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	57.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 d d)) D) (.f64 (/.f64 (.f64 (.f64 M M) h) l) D)))))
	28.7%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) d) (/.f64 (.f64 (*.f64 M M) h) d))))
▶	39.6%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	39.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (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))))
▶	35.7%	(.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))))
	70.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	34.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 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 #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))))
▶	39.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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))))
	39.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	70.7%	(.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))))
	40.6%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	70.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.5%	(.f64 (.f64 (.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	34.3%	(.f64 (.f64 (.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)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	40.6%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Compiler

Compiled 1 654 to 1 138 computations (31.2% saved)

simplify108.0ms (1%)

Memory

30.6MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #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	320	(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))))
cost-diff	704	(/.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 (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))))
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 h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #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	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 h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	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))) #s(literal 1 binary64)))
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	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	63	699
0	109	672
1	193	660
2	526	652
3	2931	652
4	6474	652
0	8034	642

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

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

localize185.0ms (1.7%)

Memory

64.1MiB live, 64.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0	(sqrt.f64 (neg.f64 l))
accuracy	0	(sqrt.f64 (neg.f64 d))
accuracy	0	(neg.f64 l)
accuracy	0	(neg.f64 d)
accuracy	0	(sqrt.f64 (neg.f64 l))
accuracy	0	(sqrt.f64 (neg.f64 d))
accuracy	0	(neg.f64 l)
accuracy	0	(neg.f64 d)
accuracy	0	(*.f64 M D)
accuracy	0	(*.f64 #s(literal 2 binary64) d)
accuracy	0	(sqrt.f64 l)
accuracy	0	(sqrt.f64 d)
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy	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))))
accuracy	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))) #s(literal 1 binary64)))
accuracy	0	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	0	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	0	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
accuracy	0	(*.f64 D #s(literal 1/2 binary64))
accuracy	0	(.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64)))

Samples

121.0ms

256×

invalid

Compiler

Compiled 1 556 to 120 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 30.0ms (37.7% of total)

ival-div: 19.0ms (23.9% of total)

ival-pow: 15.0ms (18.9% of total)

ival-sqrt: 6.0ms (7.5% of total)

ival-sub: 3.0ms (3.8% of total)

ival-pow2: 3.0ms (3.8% of total)

ival-neg: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

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

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

series72.0ms (0.7%)

Memory

31.1MiB live, 31.1MiB allocated

Counts

23 → 51

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

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

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	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)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (neg d)) (/ 1 (sqrt (neg l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)))
7.0ms	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)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (neg d)) (/ 1 (sqrt (neg l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)))
7.0ms	d	@	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)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (neg d)) (/ 1 (sqrt (neg l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)))
5.0ms	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)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (neg d)) (/ 1 (sqrt (neg l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)))
5.0ms	l	@	-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)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (neg d)) (/ 1 (sqrt (neg l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)))

simplify103.0ms (1%)

Memory

30.3MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	732
1	486	689
2	1666	681
3	4000	661
0	8276	645

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 51

Calls

Call 1

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

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

rewrite149.0ms (1.4%)

Memory

61.5MiB live, 61.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	215
0	97	197
1	265	185
2	1516	185
0	8554	180

Stop Event

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

Counts

23 → 1 137

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

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

eval172.0ms (1.6%)

Memory: 118.4MiB live, 118.4MiB allocated
Compiler: Compiled 64 033 to 4 554 computations (92.9% saved)

prune73.0ms (0.7%)

Memory

71.3MiB live, 71.3MiB allocated

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	1 467	32	1 499
Fresh	16	1	17
Picked	5	0	5
Done	0	0	0
Total	1 488	33	1 521

Accuracy

94.8%

Counts

1 521 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.1%	(/.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	70.9%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
▶	32.5%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h)))) (sqrt.f64 l))
	18.5%	(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
	32.3%	(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
	61.3%	(.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)))
	20.8%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	19.7%	(.f64 (/.f64 (sqrt.f64 (.f64 d (/.f64 d l))) (sqrt.f64 h)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	34.1%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	5.1%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	5.1%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	74.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
▶	34.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 h d) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	71.6%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	28.7%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) d) (/.f64 (.f64 (*.f64 M M) h) d))))
	25.2%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	10.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	21.3%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (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))) #s(literal 1 binary64)))
	40.7%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.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))))
	39.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	65.7%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	34.3%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	19.5%	(.f64 (neg.f64 (.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	41.2%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	43.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	35.8%	(neg.f64 (.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	23.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 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)))
	37.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.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))
	14.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.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)))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	13.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.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))))))
▶	26.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	31.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 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 2 520 to 1 820 computations (27.8% saved)

simplify110.0ms (1%)

Memory

30.2MiB live, 30.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))))
cost-diff	0	(.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h))))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h)))) (sqrt.f64 l))
cost-diff	320	(fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (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))) #s(literal 1 binary64)))
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	0	(*.f64 (/.f64 h d) (/.f64 l d))
cost-diff	0	(sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 h d) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
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	320	(.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64)))
cost-diff	448	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h))))
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	75	549
0	123	553
1	224	533
2	578	499
3	3149	499
4	7507	499
0	8313	489

Stop Event

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

Calls

Call 1

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

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

localize200.0ms (1.9%)

Memory

69.3MiB live, 69.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.418198811688661	(.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h))))
accuracy	3.9694997813355464	(*.f64 D (/.f64 M d))
accuracy	4.9848760209227825	(.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))))
accuracy	6.804357462787605	(sqrt.f64 (*.f64 d (/.f64 d h)))
accuracy	0.19140625	(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
accuracy	2.637830400566909	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (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))) #s(literal 1 binary64)))
accuracy	5.6948272483347475	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	17.30497986821054	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	0.6345640050253973	(*.f64 (/.f64 h d) (/.f64 l d))
accuracy	2.637830400566909	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 h d) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
accuracy	10.571934943730094	(sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))
accuracy	17.30497986821054	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	0.12109375	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.4945560621460686	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	7.314850372990934	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	17.077422128622235	#s(approx (* (* (pow (/ 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	3.9684714426332284	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
accuracy	3.969741000108654	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	5.472019233839403	(sqrt.f64 (/.f64 l d))
accuracy	6.675065866787117	(sqrt.f64 (/.f64 d h))

Samples

72.0ms	128×	0	invalid
69.0ms	128×	0	valid

Compiler

Compiled 1 130 to 148 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 37.0ms (35.3% of total)

ival-div: 28.0ms (26.7% of total)

ival-pow: 15.0ms (14.3% of total)

ival-sqrt: 13.0ms (12.4% of total)

ival-pow2: 5.0ms (4.8% of total)

ival-sub: 3.0ms (2.9% of total)

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

exact: 1.0ms (1% of total)

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

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

series94.0ms (0.9%)

Memory

47.2MiB live, 47.2MiB allocated

Counts

28 → 71

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

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

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	h	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 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 (sqrt (* (/ h d) (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* (/ h d) (/ l d)))) (sqrt (* (/ h d) (/ l d))) (* (/ h d) (/ l d)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (sqrt l)) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (sqrt (/ d h)) (sqrt (/ l d)) (* (* (/ 1/2 d) M) D) (* (* 1/2 (* D 1/2)) (/ M d)) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (* d (/ d h))) (* D (/ M d)))
8.0ms	d	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 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 (sqrt (* (/ h d) (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* (/ h d) (/ l d)))) (sqrt (* (/ h d) (/ l d))) (* (/ h d) (/ l d)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (sqrt l)) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (sqrt (/ d h)) (sqrt (/ l d)) (* (* (/ 1/2 d) M) D) (* (* 1/2 (* D 1/2)) (/ M d)) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (* d (/ d h))) (* D (/ M d)))
8.0ms	d	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 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 (sqrt (* (/ h d) (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* (/ h d) (/ l d)))) (sqrt (* (/ h d) (/ l d))) (* (/ h d) (/ l d)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (sqrt l)) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (sqrt (/ d h)) (sqrt (/ l d)) (* (* (/ 1/2 d) M) D) (* (* 1/2 (* D 1/2)) (/ M d)) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (* d (/ d h))) (* D (/ M d)))
8.0ms	l	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 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 (sqrt (* (/ h d) (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* (/ h d) (/ l d)))) (sqrt (* (/ h d) (/ l d))) (* (/ h d) (/ l d)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (sqrt l)) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (sqrt (/ d h)) (sqrt (/ l d)) (* (* (/ 1/2 d) M) D) (* (* 1/2 (* D 1/2)) (/ M d)) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (* d (/ d h))) (* D (/ M d)))
7.0ms	d	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 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 (sqrt (* (/ h d) (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* (/ h d) (/ l d)))) (sqrt (* (/ h d) (/ l d))) (* (/ h d) (/ l d)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (sqrt l)) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (sqrt (/ d h)) (sqrt (/ l d)) (* (* (/ 1/2 d) M) D) (* (* 1/2 (* D 1/2)) (/ M d)) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (* d (/ d h))) (* D (/ M d)))

simplify114.0ms (1.1%)

Memory

31.9MiB live, 31.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	1227
1	741	1153
2	2772	1142
3	6899	1138
0	8230	1106

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 71

Calls

Call 1

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

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

rewrite150.0ms (1.4%)

Memory

56.6MiB live, 56.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	349
0	121	354
1	398	311
2	2726	277
0	8590	269

Stop Event

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

Counts

28 → 1 202

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

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

eval122.0ms (1.1%)

Memory: 81.0MiB live, 81.0MiB allocated
Compiler: Compiled 34 061 to 3 568 computations (89.5% saved)

prune75.0ms (0.7%)

Memory

59.5MiB live, 59.5MiB allocated

Pruning

49 alts after pruning (47 fresh and 2 done)

	Pruned	Kept	Total
New	874	36	910
Fresh	17	11	28
Picked	3	2	5
Done	0	0	0
Total	894	49	943

Accuracy

96.0%

Counts

943 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.0%	(fma.f64 (pow.f64 (/.f64 (/.f64 l d) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l))))
	33.6%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 (/.f64 M d) D)) (.f64 (/.f64 M d) D)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h)))) (sqrt.f64 l))
	19.7%	(/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 h))
▶	18.5%	(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
	39.9%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
	21.3%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))) (sqrt.f64 h))
	25.0%	(/.f64 (.f64 #s(approx (+ ( (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (fma.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 M M) d) l) #s(literal 1 binary64))) (sqrt.f64 (*.f64 d (/.f64 d h)))) (sqrt.f64 l))
	25.4%	(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 l h)) d))
	32.3%	(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
▶	33.1%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (/.f64 (.f64 M M) d) l) #s(literal -1/8 binary64))) (sqrt.f64 h) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (sqrt.f64 l))
	33.2%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (.f64 d d))) d)) (sqrt.f64 l))
	34.4%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (.f64 (.f64 (.f64 M M) D) (/.f64 D d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (.f64 l d))) l)) (sqrt.f64 l))
	39.3%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (.f64 (/.f64 (.f64 (*.f64 M M) D) l) (/.f64 (/.f64 D d) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) d)) (sqrt.f64 l))
	20.2%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l)))) (sqrt.f64 l))
	2.5%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 l))
	37.0%	(.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	61.3%	(.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)))
	20.8%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	34.1%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	5.1%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	5.1%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	72.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) (fma.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)))
▶	72.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	69.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) (fma.f64 (.f64 (/.f64 D l) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)))
	72.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 M (*.f64 #s(literal 1/4 binary64) D)) h) d))))
▶	74.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) h))))
	27.1%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) #s(approx (- 1 ( (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) d) l))))
	19.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	25.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (.f64 l h))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
✓	34.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 h d) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	28.9%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l (/.f64 h (.f64 d d))))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	31.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt ( (/ h d) (/ l d))) (/.f64 (sqrt.f64 (.f64 l h)) (neg.f64 d)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	71.6%	(.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	25.2%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	4.7%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	39.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	60.7%	(.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 d h) d) l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	34.3%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	19.5%	(.f64 (neg.f64 (.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	43.6%	(.f64 #s(approx (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
▶	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	3.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	25.4%	#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 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	14.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (/.f64 (.f64 D D) d) (*.f64 (neg.f64 M) M))))
	23.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
	26.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
✓	26.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	24.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	31.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))

Compiler

Compiled 3 594 to 2 628 computations (26.9% saved)

simplify97.0ms (0.9%)

Memory

29.1MiB live, 29.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
cost-diff	128	(.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h))))
cost-diff	0	(.f64 (.f64 D D) (.f64 (/.f64 (/.f64 (.f64 M M) d) l) #s(literal -1/8 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (/.f64 (.f64 M M) d) l) #s(literal -1/8 binary64))) (sqrt.f64 h) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))
cost-diff	0	#s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (/.f64 (.f64 M M) d) l) #s(literal -1/8 binary64))) (sqrt.f64 h) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d)))
cost-diff	0	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (/.f64 (.f64 M M) d) l) #s(literal -1/8 binary64))) (sqrt.f64 h) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (sqrt.f64 l))
cost-diff	0	(*.f64 d (/.f64 d h))
cost-diff	0	(sqrt.f64 (*.f64 d (/.f64 d h)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
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	(sqrt.f64 (/.f64 l d))
cost-diff	0	(/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) h))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	645
0	128	643
1	254	635
2	780	624
3	4761	592
0	8226	588

Stop Event

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

Calls

Call 1

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

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

localize214.0ms (2%)

Memory

77.4MiB live, 77.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.9684714426332284	(.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))
accuracy	3.969741000108654	(.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))
accuracy	5.472019233839403	(sqrt.f64 (/.f64 l d))
accuracy	6.675065866787117	(sqrt.f64 (/.f64 d h))
accuracy	1.7030281518966546	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (/.f64 (.f64 M M) d) l) #s(literal -1/8 binary64))) (sqrt.f64 h) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (sqrt.f64 l))
accuracy	3.7521533800243136	(/.f64 (*.f64 M M) d)
accuracy	3.9090563426480354	(/.f64 (/.f64 (*.f64 M M) d) l)
accuracy	6.745528049771197	(.f64 (.f64 D D) (.f64 (/.f64 (/.f64 (.f64 M M) d) l) #s(literal -1/8 binary64)))
accuracy	1.7030281518966546	(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
accuracy	2.418198811688661	(.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
accuracy	6.804357462787605	(sqrt.f64 (*.f64 d (/.f64 d h)))
accuracy	17.30497986821054	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	0	(*.f64 l h)
accuracy	0.109375	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	7.634738463326413	(sqrt.f64 (*.f64 l h))
accuracy	17.077422128622235	#s(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	3.9684714426332284	(.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))
accuracy	3.969741000108654	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	5.472019233839403	(sqrt.f64 (/.f64 l d))
accuracy	6.675065866787117	(sqrt.f64 (/.f64 d h))

Samples

76.0ms	128×	0	invalid
75.0ms	128×	0	valid

Compiler

Compiled 1 260 to 163 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 45.0ms (40% of total)

ival-div: 30.0ms (26.7% of total)

ival-sqrt: 12.0ms (10.7% of total)

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

ival-pow2: 5.0ms (4.4% of total)

ival-add: 4.0ms (3.6% of total)

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

exact: 1.0ms (0.9% of total)

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

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

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

series99.0ms (0.9%)

Memory

44.8MiB live, 44.8MiB allocated

Counts

24 → 64

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
20.0ms	d	@	-inf	((/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ M d) (* 1/4 D)) h)))) (/ (sqrt (/ l d)) (sqrt (/ d h))) (sqrt (/ l d)) (* (* (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) (/ (* (sqrt (* d (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt l)) (* (sqrt (* d (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* d (/ d h))) (* d (/ d h)) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (sqrt l)) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (+ (* (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (sqrt h)) (* (sqrt (/ 1 h)) d)) (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (* (neg D) (* (/ 1/2 d) M)) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1)) (sqrt (/ d h)) (* (* (/ 1/2 d) M) D) (* (/ M d) (* 1/4 D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (/ (* M M) d) l) (/ (* M M) d))
8.0ms	d	@	0	((/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ M d) (* 1/4 D)) h)))) (/ (sqrt (/ l d)) (sqrt (/ d h))) (sqrt (/ l d)) (* (* (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) (/ (* (sqrt (* d (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt l)) (* (sqrt (* d (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* d (/ d h))) (* d (/ d h)) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (sqrt l)) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (+ (* (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (sqrt h)) (* (sqrt (/ 1 h)) d)) (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (* (neg D) (* (/ 1/2 d) M)) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1)) (sqrt (/ d h)) (* (* (/ 1/2 d) M) D) (* (/ M d) (* 1/4 D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (/ (* M M) d) l) (/ (* M M) d))
7.0ms	h	@	-inf	((/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ M d) (* 1/4 D)) h)))) (/ (sqrt (/ l d)) (sqrt (/ d h))) (sqrt (/ l d)) (* (* (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) (/ (* (sqrt (* d (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt l)) (* (sqrt (* d (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* d (/ d h))) (* d (/ d h)) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (sqrt l)) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (+ (* (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (sqrt h)) (* (sqrt (/ 1 h)) d)) (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (* (neg D) (* (/ 1/2 d) M)) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1)) (sqrt (/ d h)) (* (* (/ 1/2 d) M) D) (* (/ M d) (* 1/4 D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (/ (* M M) d) l) (/ (* M M) d))
6.0ms	l	@	-inf	((/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ M d) (* 1/4 D)) h)))) (/ (sqrt (/ l d)) (sqrt (/ d h))) (sqrt (/ l d)) (* (* (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) (/ (* (sqrt (* d (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt l)) (* (sqrt (* d (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* d (/ d h))) (* d (/ d h)) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (sqrt l)) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (+ (* (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (sqrt h)) (* (sqrt (/ 1 h)) d)) (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (* (neg D) (* (/ 1/2 d) M)) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1)) (sqrt (/ d h)) (* (* (/ 1/2 d) M) D) (* (/ M d) (* 1/4 D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (/ (* M M) d) l) (/ (* M M) d))
6.0ms	d	@	inf	((/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ M d) (* 1/4 D)) h)))) (/ (sqrt (/ l d)) (sqrt (/ d h))) (sqrt (/ l d)) (* (* (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) (/ (* (sqrt (* d (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt l)) (* (sqrt (* d (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* d (/ d h))) (* d (/ d h)) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (sqrt l)) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (+ (* (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (sqrt h)) (* (sqrt (/ 1 h)) d)) (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (* (neg D) (* (/ 1/2 d) M)) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1)) (sqrt (/ d h)) (* (* (/ 1/2 d) M) D) (* (/ M d) (* 1/4 D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (/ (* M M) d) l) (/ (* M M) d))

simplify115.0ms (1.1%)

Memory

32.5MiB live, 32.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	1138
1	703	1073
2	2623	1058
3	6730	1055
0	8183	1026

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

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

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

rewrite169.0ms (1.6%)

Memory

65.1MiB live, 65.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	394
0	128	392
1	445	373
2	3121	342
0	8677	336

Stop Event

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

Counts

24 → 1 069

Calls

Call 1

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

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

eval148.0ms (1.4%)

Memory: 98.6MiB live, 98.6MiB allocated
Compiler: Compiled 46 128 to 3 961 computations (91.4% saved)

prune104.0ms (1%)

Memory

82.8MiB live, 82.8MiB allocated

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	1 109	20	1 129
Fresh	22	20	42
Picked	4	1	5
Done	0	2	2
Total	1 135	43	1 178

Accuracy

97.6%

Counts

1 178 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.7%	(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) l) (neg.f64 D)) (.f64 (.f64 h (*.f64 #s(literal 1/4 binary64) (/.f64 M d))) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l d))) (sqrt.f64 (/.f64 h d)))
	19.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
	19.7%	(/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 h))
	25.4%	(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 l h)) d))
	32.3%	(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
	41.2%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 d l)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (/.f64 d (sqrt.f64 h)))) (sqrt.f64 l))
	42.7%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 (.f64 (sqrt.f64 h) D) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 M d) M) l)) D) (/.f64 d (sqrt.f64 h)))) (sqrt.f64 l))
	43.8%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 D (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 M d) M) l)) D) (sqrt.f64 h)) (/.f64 d (sqrt.f64 h)))) (sqrt.f64 l))
	33.2%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (.f64 d d))) d)) (sqrt.f64 l))
	2.5%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 l))
	23.0%	(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) #s(approx (+ (* (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (sqrt h)) (* (sqrt (/ 1 h)) d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 M l) (/.f64 (*.f64 M (sqrt.f64 h)) d))))) (sqrt.f64 l))
	39.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (.f64 h l)) d) (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) l) (neg.f64 D)) (.f64 (.f64 h (.f64 #s(literal 1/4 binary64) (/.f64 M d))) D) #s(literal 1 binary64))))
	41.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 (.f64 (sqrt.f64 h) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 d l))) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 h))))))
	39.9%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) l) (neg.f64 D)) (.f64 (.f64 h (.f64 #s(literal 1/4 binary64) (/.f64 M d))) D) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	61.3%	(.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)))
	32.3%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	20.8%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	34.1%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	38.5%	(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	5.1%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	5.1%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	41.2%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h))))
	19.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	25.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (.f64 l h))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
✓	34.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 h d) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	28.9%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l (/.f64 h (.f64 d d))))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	43.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (/ l d)) (sqrt (/ d h))) (/.f64 (sqrt.f64 (.f64 h l)) (neg.f64 d)))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	31.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt ( (/ h d) (/ l d))) (/.f64 (sqrt.f64 (.f64 l h)) (neg.f64 d)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	36.0%	(.f64 (.f64 (pow.f64 (/.f64 (/.f64 l d) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	25.2%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	4.7%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	39.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	72.7%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) l) (neg.f64 D)) (.f64 (.f64 h (*.f64 #s(literal 1/4 binary64) (/.f64 M d))) D) #s(literal 1 binary64))))
	34.3%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	66.0%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h))))
	41.2%	(.f64 #s(approx (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) h))))
	43.6%	(.f64 #s(approx (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	43.6%	(.f64 #s(approx (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) h))))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	25.4%	#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 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
✓	26.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	31.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))

Compiler

Compiled 5 869 to 1 773 computations (69.8% saved)

regimes219.0ms (2%)

Memory

79.8MiB live, 79.8MiB allocated

Counts

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

Calls

7 calls:

31.0ms	D
31.0ms	M
31.0ms	h
30.0ms	l
30.0ms	d

Results

Accuracy	Segments	Branch
90.6%	4	`d`
86.2%	2	`h`
86.2%	2	`l`
74.8%	1	`M`
74.8%	1	`D`
81.9%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
74.8%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes35.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

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

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

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
90.6%	4	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes34.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
88.2%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes29.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

13.0ms	d
13.0ms	l

Results

Accuracy	Segments	Branch
86.2%	2	`l`
86.2%	2	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes36.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

11.0ms	l
11.0ms	h
11.0ms	d

Results

Accuracy	Segments	Branch
86.2%	2	`d`
86.2%	2	`h`
86.2%	2	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes75.0ms (0.7%)

Memory

31.3MiB live, 31.3MiB 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)))) (.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)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.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 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 l h)) d))
(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt ( (/ h d) (/ l d))) (/.f64 (sqrt.f64 (.f64 l h)) (neg.f64 d)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l (/.f64 h (.f64 d d))))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 l))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 (.f64 d (/.f64 d l))) (sqrt.f64 h)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 h))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 h d) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (.f64 l h))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))) (sqrt.f64 h))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) #s(approx (+ (* (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (sqrt h)) (* (sqrt (/ 1 h)) d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 M l) (/.f64 (*.f64 M (sqrt.f64 h)) d))))) (sqrt.f64 l))
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l)))) (sqrt.f64 l))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) l) (neg.f64 D)) (.f64 (.f64 h (.f64 #s(literal 1/4 binary64) (/.f64 M d))) D) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 D (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 M d) M) l)) D) (sqrt.f64 h)) (/.f64 d (sqrt.f64 h)))) (sqrt.f64 l))
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 (.f64 (sqrt.f64 h) D) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 M d) M) l)) D) (/.f64 d (sqrt.f64 h)))) (sqrt.f64 l))
(.f64 #s(approx (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) h))))

Outputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
54.6%	2	`M`
53.0%	2	`D`
54.1%	2	`(*.f64 M D)`
63.3%	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))))`
71.6%	3	`d`
69.8%	2	`h`
71.9%	3	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes32.0ms (0.3%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

10.0ms	l
10.0ms	d
10.0ms	h

Results

Accuracy	Segments	Branch
67.6%	3	`h`
67.6%	3	`d`
67.8%	3	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes38.0ms (0.4%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

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

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

Calls

4 calls:

9.0ms	l
9.0ms	d
9.0ms	h
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
61.5%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
58.3%	4	`d`
54.7%	3	`h`
59.8%	4	`l`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes62.0ms (0.6%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

9.0ms	d
9.0ms	l
9.0ms	h
9.0ms	D
9.0ms	M

Results

Accuracy	Segments	Branch
39.6%	1	`D`
49.1%	2	`h`
43.8%	2	`(*.f64 M D)`
42.6%	2	`M`
51.0%	3	`d`
51.2%	3	`l`
46.9%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes9.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms	d
3.0ms	l
3.0ms	h

Results

Accuracy	Segments	Branch
46.2%	2	`h`
48.0%	2	`d`
48.3%	2	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes17.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

3 → 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))))

#s(approx (* (* (pow (/ 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))

Calls

7 calls:

2.0ms	D
2.0ms	h
2.0ms	l
2.0ms	d
2.0ms	M

Results

Accuracy	Segments	Branch
26.2%	1	`D`
26.2%	1	`M`
26.2%	1	`(*.f64 M D)`
26.2%	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))))`
26.2%	1	`h`
26.2%	1	`d`
26.2%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes13.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
25.5%	1	`l`
25.5%	1	`D`
25.5%	1	`d`
25.5%	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))))`
25.5%	1	`(*.f64 M D)`
25.5%	1	`h`
25.5%	1	`M`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch130.0ms (1.2%)

Memory

35.8MiB live, 35.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	2.831163018869343e-20	4.8242287072207094e-20
52.0ms	-9.916800900796084e-307	1.140801430678381e-304
40.0ms	-1.5970787386917546e+36	-9.479106710673494e+34

Samples

54.0ms	320×	0	valid
36.0ms	273×	0	invalid

Compiler

Compiled 1 747 to 1 304 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 21.0ms (31.7% of total)

ival-mult: 20.0ms (30.2% of total)

ival-pow: 14.0ms (21.1% of total)

ival-pow2: 6.0ms (9% of total)

ival-sub: 3.0ms (4.5% of total)

ival-true: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

bsearch6.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.831163018869343e-20	4.8242287072207094e-20
2.0ms	-9.916800900796084e-307	1.140801430678381e-304
2.0ms	-1.5970787386917546e+36	-9.479106710673494e+34

Compiler

Compiled 1 731 to 1 288 computations (25.6% saved)

bsearch4.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.831163018869343e-20	4.8242287072207094e-20
2.0ms	-9.916800900796084e-307	1.140801430678381e-304

Compiler

Compiled 1 257 to 938 computations (25.4% saved)

bsearch59.0ms (0.6%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	-2.5831998084952017e-308	1.4907196972362075e-305

Samples

22.0ms	128×	0	valid
20.0ms	130×	0	invalid

Compiler

Compiled 766 to 574 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 9.0ms (28.6% of total)

ival-mult: 9.0ms (28.6% of total)

ival-pow: 8.0ms (25.4% of total)

ival-pow2: 3.0ms (9.5% of total)

ival-sub: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-2.5831998084952017e-308	1.4907196972362075e-305

Compiler

Compiled 766 to 574 computations (25.1% saved)

bsearch58.0ms (0.5%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-2.5831998084952017e-308	1.4907196972362075e-305
49.0ms	-6.29266194701137e-220	-3.1141622199280014e-223

Samples

22.0ms	128×	0	valid
18.0ms	117×	0	invalid

Compiler

Compiled 1 486 to 1 038 computations (30.1% saved)

Precisions

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

ival-div: 9.0ms (30% of total)

ival-mult: 8.0ms (26.7% of total)

ival-pow: 8.0ms (26.7% of total)

ival-pow2: 3.0ms (10% of total)

ival-sub: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-2.5831998084952017e-308	1.4907196972362075e-305
2.0ms	-6.29266194701137e-220	-3.1141622199280014e-223

Compiler

Compiled 1 326 to 942 computations (29% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	5.361735593638196e+237	+inf
0.0ms	-4.390021834508555e-66	-2.576513651220383e-128

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch4.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.5831998084952017e-308	1.4907196972362075e-305
2.0ms	-6.29266194701137e-220	-3.1141622199280014e-223

Compiler

Compiled 1 446 to 982 computations (32.1% saved)

bsearch2.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-6.29266194701137e-220	-3.1141622199280014e-223

Compiler

Compiled 750 to 526 computations (29.9% saved)

simplify47.0ms (0.4%)

Memory

22.0MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1561
1	270	1561
2	315	1561
3	364	1561
4	409	1561
5	444	1561
6	458	1561
7	463	1561
8	464	1561

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -1000000000000000042420637374017961984 binary64)) (.f64 #s(approx (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h)))) (if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (if (<=.f64 d #s(literal 3156916489989175/83076749736557242056487941267521536 binary64)) (/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 D (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 M d) M) l)) D) (sqrt.f64 h)) (/.f64 d (sqrt.f64 h)))) (sqrt.f64 l)) (/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (.f64 (/.f64 (.f64 (*.f64 M M) D) l) (/.f64 (/.f64 D d) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) d)) (sqrt.f64 l)))))
(if (<=.f64 d #s(literal -1000000000000000042420637374017961984 binary64)) (.f64 #s(approx (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h)))) (if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 #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)))) (if (<=.f64 d #s(literal 3156916489989175/83076749736557242056487941267521536 binary64)) (/.f64 #s(approx ( (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 D (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 M d) M) l)) D) (sqrt.f64 h)) (/.f64 d (sqrt.f64 h)))) (sqrt.f64 l)) (/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (.f64 (/.f64 (.f64 (*.f64 M M) D) l) (/.f64 (/.f64 D d) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) d)) (sqrt.f64 l)))))
(if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(approx (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal 3156916489989175/83076749736557242056487941267521536 binary64)) (/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 D (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 M d) M) l)) D) (sqrt.f64 h)) (/.f64 d (sqrt.f64 h)))) (sqrt.f64 l)) (/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (.f64 (/.f64 (.f64 (*.f64 M M) D) l) (/.f64 (/.f64 D d) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) d)) (sqrt.f64 l))))
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(approx (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))) (/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 D (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 M d) M) l)) D) (sqrt.f64 h)) (/.f64 d (sqrt.f64 h)))) (sqrt.f64 l)))
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(approx (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h)))) (/.f64 #s(approx ( (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 D (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 M d) M) l)) D) (sqrt.f64 h)) (/.f64 d (sqrt.f64 h)))) (sqrt.f64 l)))
(if (<=.f64 l #s(literal -8648395184246637/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 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))))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) (fma.f64 D (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (/.f64 M d) M) l)) D) (sqrt.f64 h)) (/.f64 d (sqrt.f64 h)))) (sqrt.f64 l))))
(if (<=.f64 l #s(literal -8648395184246637/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 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))))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h))))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -3794275180128377/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) #s(approx (+ (* (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (sqrt h)) (* (sqrt (/ 1 h)) d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 M l) (/.f64 (.f64 M (sqrt.f64 h)) d))))) (sqrt.f64 l)) (if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 10000000000000000486475973287265010404848153099971055159735310397418651127357734700791903005570128910531738945888832142428584597165509708623196466454966148714674320981543085810557013220039375302073350623645891623631119178909006652304785408 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal +inf.0 binary64)) (.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (* d (/ d h)))) #s(approx (+ (* (* (* D D) (* (/ (/ (* M M) d) l) -1/8)) (sqrt h)) (* (sqrt (/ 1 h)) d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 M l) (/.f64 (*.f64 M (sqrt.f64 h)) d))))) (sqrt.f64 l)))))
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(if (<=.f64 l #s(literal -8648395184246637/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #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 d (sqrt.f64 (*.f64 l h))))

Outputs
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(if (<=.f64 l #s(literal -8648395184246637/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 h l))) d)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
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(if (<=.f64 l #s(literal -8648395184246637/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(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))))

soundness1.3s (11.8%)

Memory

35.9MiB live, 35.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	223
1	172	201
2	621	201
3	3317	201
4	5952	201
5	7968	201
0	8078	194
0	174	732
1	486	689
2	1666	681
3	4000	661
0	8276	645
0	82	394
0	128	392
1	445	373
2	3121	342
0	8677	336
0	252	1227
1	741	1153
2	2772	1142
3	6899	1138
0	8230	1106
0	74	349
0	121	354
1	398	311
2	2726	277
0	8590	269
0	20	50
0	34	48
1	114	48
2	719	48
3	7801	48
0	8835	47
0	237	1138
1	703	1073
2	2623	1058
3	6730	1055
0	8183	1026
0	57	215
0	97	197
1	265	185
2	1516	185
0	8554	180

Stop Event

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

Compiler

Compiled 5 660 to 2 074 computations (63.4% saved)

preprocess174.0ms (1.6%)

Memory: 80.2MiB live, 80.2MiB allocated
Compiler: Compiled 6 754 to 2 226 computations (67% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze323.0ms (3%)

sample4.2s (39.2%)

explain435.0ms (4.1%)

preprocess137.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify96.0ms (0.9%)

localize68.0ms (0.6%)

series44.0ms (0.4%)

simplify125.0ms (1.2%)

rewrite157.0ms (1.5%)

eval64.0ms (0.6%)

prune34.0ms (0.3%)

simplify108.0ms (1%)

localize185.0ms (1.7%)

series72.0ms (0.7%)

simplify103.0ms (1%)

rewrite149.0ms (1.4%)

eval172.0ms (1.6%)

prune73.0ms (0.7%)

simplify110.0ms (1%)

localize200.0ms (1.9%)

series94.0ms (0.9%)

simplify114.0ms (1.1%)

rewrite150.0ms (1.4%)

eval122.0ms (1.1%)

prune75.0ms (0.7%)

simplify97.0ms (0.9%)

localize214.0ms (2%)

series99.0ms (0.9%)

simplify115.0ms (1.1%)

rewrite169.0ms (1.6%)

eval148.0ms (1.4%)

prune104.0ms (1%)

regimes219.0ms (2%)

regimes35.0ms (0.3%)

regimes34.0ms (0.3%)

regimes29.0ms (0.3%)

regimes36.0ms (0.3%)

regimes75.0ms (0.7%)

regimes32.0ms (0.3%)

regimes38.0ms (0.4%)

regimes62.0ms (0.6%)

regimes9.0ms (0.1%)

regimes17.0ms (0.2%)

regimes13.0ms (0.1%)

bsearch130.0ms (1.2%)

bsearch6.0ms (0.1%)

bsearch4.0ms (0%)

bsearch59.0ms (0.6%)

bsearch3.0ms (0%)

bsearch58.0ms (0.5%)

bsearch4.0ms (0%)

bsearch1.0ms (0%)

bsearch4.0ms (0%)

bsearch2.0ms (0%)

simplify47.0ms (0.4%)

soundness1.3s (11.8%)

preprocess174.0ms (1.6%)

end0.0ms (0%)

Profiling