Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze854.0ms (5.4%)

Memory

-140.0MiB live, 390.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.1s (32.4%)

Memory

111.8MiB live, 6 793.1MiB allocated

Samples

2.2s	12 833×	0	invalid
1.6s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-mult: 872.0ms (31% of total)

ival-div: 840.0ms (29.9% of total)

ival-pow: 666.0ms (23.7% of total)

ival-pow2: 263.0ms (9.4% of total)

ival-sub: 117.0ms (4.2% of total)

exact: 23.0ms (0.8% of total)

ival-true: 19.0ms (0.7% of total)

ival-assert: 10.0ms (0.4% of total)

Bogosity

explain480.0ms (3%)

Memory

10.6MiB live, 659.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
70	-	3	(-2.5425682779871672e-23 -1.4812997785936946e+230 -1.39112962487641e+298 1.1959167779512838e+120 -3.528616483009856e-23)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
62	-	1	(7.758404903029445e-62 2.3971139816687347e+261 1.2254907746099454e-253 -2.491554224035785e+268 -4.90117099914294e+174)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
52	-	2	(-4.556585934429052e-31 -6.804100124551342e-251 -1.3882994172385778e+63 -3.902590406237511e-42 8.542663746398573e+52)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
20	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 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))))`
19	-	2	(6.911700192694492e-252 2.1730826738580064e-302 1.2344529729216889e+303 -3.389683754222214e-92 -2.9330033510624935e-229)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	40	0
↳	`(/.f64 d l)`	overflow	40
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	33	0
↳	`(/.f64 d h)`	overflow	33
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	28	0
↳	`(/.f64 d h)`	underflow	28
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	27	0
↳	`(/.f64 d l)`	underflow	27
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	16	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**	9	0
↳	`(/.f64 d h)`	underflow	28
↳	`(/.f64 d l)`	underflow	27
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	16
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	75
↳	`(/.f64 h l)`	overflow	36
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	76
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	76
↳	`(*.f64 M D)`	overflow	32
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	33
↳	`(.f64 (/.f64 #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	75
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
`*.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**	8	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	8	0
↳	`(*.f64 M D)`	overflow	32
`*.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**	6	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	75
↳	`(*.f64 M D)`	overflow	32
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	33
↳	`(.f64 (/.f64 #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	75
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(/.f64 h l)`	underflow	27
`*.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**	3	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	91
↳	`(.f64 (/.f64 #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	91
↳	`(*.f64 M D)`	underflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	46
↳	`(/.f64 h l)`	overflow	36
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	2	0
↳	`(*.f64 M D)`	underflow	26

Confusion

	Predicted +	Predicted -
+	82	8
-	37	129

Precision

0.6890756302521008

Recall

0.9111111111111111

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	8
-	37	0	129

Precision?

0.6890756302521008

Recall?

0.9111111111111111

Freqs

test

number	freq
0	137
1	70
2	37
3	10
4	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

239.0ms

512×

valid

Compiler

Compiled 501 to 92 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-div: 62.0ms (56% of total)

ival-pow: 21.0ms (19% of total)

ival-mult: 18.0ms (16.3% of total)

ival-pow2: 6.0ms (5.4% of total)

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

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

exact: 1.0ms (0.9% of total)

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

preprocess181.0ms (1.1%)

Memory

5.2MiB live, 132.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	2092	548
3	4738	548
0	22	29
0	38	27
1	67	27
2	182	27
3	1068	27
4	3452	27
5	6729	27
0	8398	26

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.3%	(.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))))

Status

Accuracy

Program

▶

66.3%

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify159.0ms (1%)

Memory

-16.0MiB live, 138.3MiB 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	182	126
3	1068	126
4	3452	126
5	6729	126
0	8398	124

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (0.5%)

Memory

16.7MiB live, 98.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	4.8637361427465695	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	11.906543870364976	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	14.681671743518187	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	16.236123731706904	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

67.0ms

256×

valid

Compiler

Compiled 310 to 46 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-pow: 11.0ms (26.4% of total)

ival-pow2: 11.0ms (26.4% of total)

ival-div: 9.0ms (21.6% of total)

ival-mult: 9.0ms (21.6% of total)

ival-sub: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.3%)

Memory

6.0MiB live, 115.3MiB allocated

Counts

6 → 32

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	d	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	l	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
4.0ms	h	@	inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
4.0ms	M	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify119.0ms (0.8%)

Memory

8.1MiB live, 163.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

rewrite247.0ms (1.6%)

Memory

-69.6MiB live, 215.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
0	38	68
1	124	67
2	836	67
0	8760	65

Stop Event

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

Counts

6 → 454

Calls

Call 1

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

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

eval109.0ms (0.7%)

Memory: 33.5MiB live, 103.9MiB allocated
Compiler: Compiled 20 228 to 1 520 computations (92.5% saved)

prune71.0ms (0.4%)

Memory

-17.1MiB live, 100.6MiB allocated

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	442	34	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	443	34	477

Accuracy

91.2%

Counts

477 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	38.4%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	65.5%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	65.7%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	35.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	35.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	36.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	53.0%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	52.9%	(.f64 (pow.f64 (.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
▶	65.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	69.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	56.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
	65.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) d)))
▶	58.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	56.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	62.3%	(.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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	48.6%	(.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))) (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 M M) #s(literal 1 binary64))))
	26.6%	(.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))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
	40.7%	(.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))) #s(literal 1 binary64)))
	35.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.1%	(.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))))
	37.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.3%	(.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))))
	65.9%	(.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))))
▶	36.5%	(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
	35.6%	(.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))))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	34.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	13.5%	#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 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	23.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #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))
	13.3%	#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 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	13.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.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))))))
▶	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 672 to 1 838 computations (31.2% saved)

simplify140.0ms (0.9%)

Memory

22.7MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	704	(/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d))
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 l h))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
cost-diff	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)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
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	65	594
0	106	580
1	208	580
2	633	574
3	3922	574
4	7879	574
0	8129	573

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

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

localize276.0ms (1.7%)

Memory

-6.1MiB live, 435.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.8644430550477593	(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 D M))
accuracy	6.187164119171077	(/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (*.f64 D M))
accuracy	7.072724619324045	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.785996585965048	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	1.1704436270399046	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
accuracy	1.8289149396259343	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	3.8635328690568715	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	7.785996585965048	(sqrt.f64 (/.f64 d h))
accuracy	1.8289149396259343	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	3.8635328690568715	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	7.076630869324045	(sqrt.f64 (/.f64 d l))
accuracy	7.785996585965048	(sqrt.f64 (/.f64 d h))
accuracy	0.1328125	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.2775417850868247	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	6.682428995949793	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	13.657560289380779	#s(approx (* (* (pow (/ 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	1.8289149396259343	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	2.270923956137802	(/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l)
accuracy	7.072724619324045	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.785996585965048	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

115.0ms	128×	0	valid
72.0ms	128×	0	invalid

Compiler

Compiled 1 258 to 128 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 66.0ms (50.6% of total)

ival-pow: 23.0ms (17.6% of total)

ival-div: 19.0ms (14.6% of total)

ival-add: 10.0ms (7.7% of total)

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

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

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

exact: 1.0ms (0.8% of total)

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

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

series137.0ms (0.9%)

Memory

13.0MiB live, 205.5MiB allocated

Counts

21 → 66

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

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

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	h	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) h) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (* (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (pow l -1/2)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) (* (/ 2 M) (/ d D)) (sqrt (/ d h)) (sqrt (/ d l)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
19.0ms	M	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) h) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (* (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (pow l -1/2)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) (* (/ 2 M) (/ d D)) (sqrt (/ d h)) (sqrt (/ d l)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
15.0ms	d	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) h) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (* (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (pow l -1/2)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) (* (/ 2 M) (/ d D)) (sqrt (/ d h)) (sqrt (/ d l)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
10.0ms	d	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) h) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (* (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (pow l -1/2)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) (* (/ 2 M) (/ d D)) (sqrt (/ d h)) (sqrt (/ d l)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
9.0ms	D	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) h) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (* (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (pow l -1/2)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) (* (/ 2 M) (/ d D)) (sqrt (/ d h)) (sqrt (/ d l)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))

simplify170.0ms (1.1%)

Memory

-15.5MiB live, 152.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	1341
1	874	1268
2	3190	1251
3	6633	1237
0	8427	1203

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 66

Calls

Call 1

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

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

rewrite178.0ms (1.1%)

Memory

26.8MiB live, 254.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	281
0	102	273
1	342	262
2	2390	252
0	8701	252

Stop Event

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

Counts

21 → 974

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

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

eval184.0ms (1.2%)

Memory: -36.6MiB live, 405.8MiB allocated
Compiler: Compiled 48 031 to 4 244 computations (91.2% saved)

prune112.0ms (0.7%)

Memory

0.8MiB live, 167.0MiB allocated

Pruning

47 alts after pruning (46 fresh and 1 done)

	Pruned	Kept	Total
New	1 149	34	1 183
Fresh	17	12	29
Picked	4	1	5
Done	0	0	0
Total	1 170	47	1 217

Accuracy

94.0%

Counts

1 217 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	26.2%	(/.f64 (fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))) (sqrt.f64 (.f64 l h)) (.f64 l d)) (.f64 l (sqrt.f64 (*.f64 l h))))
	65.7%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	35.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	37.7%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	53.0%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	65.9%	(.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 l h)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.3%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	66.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 D M)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	69.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	65.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) d)))
	55.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) #s(literal 4 binary64)) (/.f64 M (.f64 d d))) (.f64 D M))))
	37.8%	(.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)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	35.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.1%	(.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))))
▶	58.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	58.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	38.5%	(.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
	38.9%	(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
	35.6%	(.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))))
	39.0%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) l)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	26.6%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 D D) l) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	10.3%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
	33.6%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (/.f64 (.f64 D D) l) d) #s(literal -1/8 binary64))) (sqrt.f64 h) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (pow.f64 l #s(literal -1/2 binary64)))
	29.4%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt 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)) (pow.f64 l #s(literal -1/2 binary64)))
	21.1%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal 3 binary64)))) d (.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)) (pow.f64 l #s(literal -1/2 binary64)))
	16.7%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l)))) (pow.f64 l #s(literal -1/2 binary64)))
	34.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	28.2%	#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 d (sqrt.f64 h)) (sqrt.f64 l)))
	40.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	18.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	18.4%	#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 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))))
▶	23.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
▶	30.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	32.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	2.3%	#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))
	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	13.3%	#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 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	13.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.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))))))
	40.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
✓	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	32.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	22.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) h) 1)) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) #s(literal -1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))

Compiler

Compiled 3 810 to 2 632 computations (30.9% saved)

simplify160.0ms (1%)

Memory

31.5MiB live, 188.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
cost-diff	704	(/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 D D)))
cost-diff	0	#s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l)))
cost-diff	0	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
cost-diff	128	(.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 1 binary64) d))
cost-diff	0	(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
cost-diff	320	(*.f64 #s(literal 1 binary64) d)
cost-diff	0	(*.f64 l h)
cost-diff	0	(sqrt.f64 (*.f64 l h))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 l h)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) h)
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	320	(fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	570
0	136	555
1	253	555
2	776	543
3	4638	543
0	8744	536

Stop Event

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

Calls

Call 1

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

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

localize324.0ms (2%)

Memory

3.6MiB live, 161.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.8644430550477593	(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 D M))
accuracy	6.187164119171077	(/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (*.f64 D M))
accuracy	7.076630869324045	(sqrt.f64 (/.f64 d l))
accuracy	7.785996585965048	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.878477393281622	(.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 D D)))
accuracy	8.143257219787243	(.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 D D))
accuracy	10.683322077150793	(sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))
accuracy	31.23776512977231	#s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l)))
accuracy	0.1484375	(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l)))
accuracy	3.8200028550606207	(*.f64 (/.f64 h d) l)
accuracy	7.800831727406388	(sqrt.f64 (*.f64 (/.f64 h d) l))
accuracy	13.657560289380779	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
accuracy	0.0	(*.f64 l h)
accuracy	0.10546875	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	6.839570340277048	(sqrt.f64 (*.f64 l h))
accuracy	13.657560289380779	#s(approx (* (* (pow (/ d 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	1.8366144820298298	(/.f64 (/.f64 d D) M)
accuracy	2.278664190213303	(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l)
accuracy	7.076630869324045	(sqrt.f64 (/.f64 d l))
accuracy	7.785996585965048	(sqrt.f64 (/.f64 d h))

Samples

153.0ms	128×	0	invalid
96.0ms	128×	0	valid

Compiler

Compiled 1 126 to 171 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-mult: 99.0ms (52.4% of total)

ival-pow: 45.0ms (23.8% of total)

ival-div: 25.0ms (13.2% of total)

ival-sqrt: 10.0ms (5.3% of total)

ival-pow2: 3.0ms (1.6% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

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

series192.0ms (1.2%)

Memory

-7.3MiB live, 119.1MiB allocated

Counts

30 → 67

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
64.0ms	h	@	0	((+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (* -1/2 h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* 1 d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 d)) (sqrt (* (/ h d) l))) (sqrt (* 1 d)) (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))))) (sqrt (/ d h)) (sqrt (/ d l)) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l) (/ (/ d D) M) (sqrt (* (/ h d) l)) (* (/ h d) l) (sqrt (/ h (pow d 3))) (* (sqrt (/ h (pow d 3))) (* D D)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
23.0ms	d	@	0	((+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (* -1/2 h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* 1 d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 d)) (sqrt (* (/ h d) l))) (sqrt (* 1 d)) (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))))) (sqrt (/ d h)) (sqrt (/ d l)) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l) (/ (/ d D) M) (sqrt (* (/ h d) l)) (* (/ h d) l) (sqrt (/ h (pow d 3))) (* (sqrt (/ h (pow d 3))) (* D D)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
15.0ms	l	@	inf	((+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (* -1/2 h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* 1 d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 d)) (sqrt (* (/ h d) l))) (sqrt (* 1 d)) (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))))) (sqrt (/ d h)) (sqrt (/ d l)) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l) (/ (/ d D) M) (sqrt (* (/ h d) l)) (* (/ h d) l) (sqrt (/ h (pow d 3))) (* (sqrt (/ h (pow d 3))) (* D D)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
11.0ms	d	@	-inf	((+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (* -1/2 h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* 1 d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 d)) (sqrt (* (/ h d) l))) (sqrt (* 1 d)) (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))))) (sqrt (/ d h)) (sqrt (/ d l)) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l) (/ (/ d D) M) (sqrt (* (/ h d) l)) (* (/ h d) l) (sqrt (/ h (pow d 3))) (* (sqrt (/ h (pow d 3))) (* D D)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))
10.0ms	h	@	-inf	((+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (* -1/2 h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* 1 d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 d)) (sqrt (* (/ h d) l))) (sqrt (* 1 d)) (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (* (/ h l) 1/2) (* D M)) (/ (* 4 (* d d)) (* D M))))) (sqrt (/ d h)) (sqrt (/ d l)) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l) (/ (/ d D) M) (sqrt (* (/ h d) l)) (* (/ h d) l) (sqrt (/ h (pow d 3))) (* (sqrt (/ h (pow d 3))) (* D D)) (/ (* 4 (* d d)) (* D M)) (* (* (/ h l) 1/2) (* D M)))

simplify199.0ms (1.3%)

Memory

-25.3MiB live, 95.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	1101
1	717	1051
2	2508	1048
3	5630	1038
0	8231	1013

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

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

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

rewrite320.0ms (2%)

Memory

11.7MiB live, 172.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	423
0	136	403
1	449	399
2	3049	387
0	9495	387

Stop Event

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

Counts

30 → 771

Calls

Call 1

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

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

eval156.0ms (1%)

Memory: 7.1MiB live, 121.7MiB allocated
Compiler: Compiled 31 115 to 3 045 computations (90.2% saved)

prune115.0ms (0.7%)

Memory

-3.6MiB live, 117.1MiB allocated

Pruning

54 alts after pruning (51 fresh and 3 done)

	Pruned	Kept	Total
New	746	24	770
Fresh	14	27	41
Picked	3	2	5
Done	0	1	1
Total	763	54	817

Accuracy

94.0%

Counts

817 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	26.2%	(/.f64 (fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))) (sqrt.f64 (.f64 l h)) (.f64 l d)) (.f64 l (sqrt.f64 (*.f64 l h))))
	35.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	37.7%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	29.6%	(.f64 (fma.f64 (neg.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (/.f64 M (/.f64 #s(literal 4 binary64) D)) (/.f64 D (/.f64 (.f64 d d) M))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	65.9%	(.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 l h)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.3%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
✓	69.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	70.4%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	57.0%	(.f64 (.f64 (fma.f64 (neg.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (/.f64 M (/.f64 #s(literal 4 binary64) D)) (/.f64 D (/.f64 (*.f64 d d) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	57.0%	(.f64 (.f64 (fma.f64 (neg.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (/.f64 M (/.f64 #s(literal 4 binary64) D)) (/.f64 D (/.f64 (*.f64 d d) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	65.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) d)))
	35.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.1%	(.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))))
	55.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) #s(literal 4 binary64)) (/.f64 M (.f64 d d))) (.f64 M D))))
	30.9%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	33.7%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	58.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	38.5%	(.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
	38.9%	(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
	35.6%	(.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))))
	58.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	26.6%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 D D) l) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	51.3%	(.f64 (.f64 #s(approx (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	25.8%	(.f64 (.f64 #s(approx (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	10.9%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	10.8%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) #s(approx (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 d l)))
	40.7%	(.f64 #s(approx ( (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	33.6%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (/.f64 (.f64 D D) l) d) #s(literal -1/8 binary64))) (sqrt.f64 h) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (pow.f64 l #s(literal -1/2 binary64)))
	29.4%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt 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)) (pow.f64 l #s(literal -1/2 binary64)))
	21.1%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal 3 binary64)))) d (.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)) (pow.f64 l #s(literal -1/2 binary64)))
	16.7%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l)))) (pow.f64 l #s(literal -1/2 binary64)))
	34.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	40.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
▶	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	5.4%	#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 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (/.f64 (*.f64 l h) d))))))
	18.4%	#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 (neg.f64 d)) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 (/.f64 h d) l))))
	23.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 (/.f64 h d) l))))
	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	28.5%	#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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	30.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	2.3%	#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))
▶	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	24.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 l h))) (sqrt.f64 d)))
✓	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d (*.f64 (/.f64 h d) l))))
	32.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	22.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) h) 1)) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) #s(literal -1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	15.0%	#s(approx (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))

Compiler

Compiled 4 310 to 3 006 computations (30.3% saved)

simplify201.0ms (1.3%)

Memory

-5.6MiB live, 112.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 D D)))
cost-diff	0	#s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l)))
cost-diff	0	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
cost-diff	128	(.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l))
cost-diff	0	(.f64 (fma.f64 (neg.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (/.f64 M (/.f64 #s(literal 4 binary64) D)) (/.f64 D (/.f64 (.f64 d d) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (neg.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (/.f64 M (/.f64 #s(literal 4 binary64) D)) (/.f64 D (/.f64 (*.f64 d d) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	128	(neg.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)))
cost-diff	384	(/.f64 M (/.f64 #s(literal 4 binary64) D))
cost-diff	0	(*.f64 (neg.f64 d) (/.f64 d l))
cost-diff	0	(sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l)))
cost-diff	0	(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
cost-diff	0	(sqrt.f64 (*.f64 l h))
cost-diff	0	(/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) h)
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	320	(fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) l) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	601
0	144	593
1	268	589
2	700	583
3	3581	565
4	7725	565
0	8659	560

Stop Event

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

Calls

Call 1

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

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

localize329.0ms (2.1%)

Memory

23.6MiB live, 379.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.175367423754054	(.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 D D)))
accuracy	6.738283151450359	(.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 D D))
accuracy	7.875814951008457	(sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))
accuracy	15.211684465261586	#s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l)))
accuracy	3.236091318200626	(/.f64 D (/.f64 (*.f64 d d) M))
accuracy	5.298481864644356	(fma.f64 (neg.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (/.f64 M (/.f64 #s(literal 4 binary64) D)) (/.f64 D (/.f64 (*.f64 d d) M))) #s(literal 1 binary64))
accuracy	6.895675157553142	(sqrt.f64 (/.f64 d h))
accuracy	9.163399112382864	(sqrt.f64 (/.f64 d l))
accuracy	0.04296875	(*.f64 (neg.f64 d) (/.f64 d l))
accuracy	1.3989502116705232	(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))
accuracy	12.300660907322882	(sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l)))
accuracy	16.768867284413005	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
accuracy	0.109375	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.1328125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
accuracy	8.588982573305344	(sqrt.f64 (*.f64 l h))
accuracy	30.53959112816448	#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))
accuracy	1.9582631710378362	(/.f64 d (*.f64 M D))
accuracy	3.8215413154037026	(/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -2 binary64))) l)
accuracy	6.895675157553142	(sqrt.f64 (/.f64 d h))
accuracy	9.163399112382864	(sqrt.f64 (/.f64 d l))

Samples

124.0ms	128×	0	valid
98.0ms	128×	0	invalid

Compiler

Compiled 1 173 to 181 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 65.0ms (39.8% of total)

ival-div: 28.0ms (17.1% of total)

ival-pow: 22.0ms (13.5% of total)

ival-sqrt: 21.0ms (12.8% of total)

ival-add: 17.0ms (10.4% of total)

ival-neg: 5.0ms (3.1% of total)

ival-pow2: 3.0ms (1.8% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series170.0ms (1.1%)

Memory

-34.3MiB live, 210.6MiB allocated

Counts

28 → 64

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
32.0ms	d	@	0	((+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (sqrt (/ d h))) (* -1/2 h) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (sqrt (* (neg d) (/ d l))) (* (neg d) (/ d l)) (/ M (/ 4 D)) (neg (* (/ h l) 1/2)) (* (* (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (sqrt (/ d h))) (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/ (sqrt (neg d)) (sqrt (neg l)))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* 1/4 (pow (/ d (* M D)) -2)) l) (/ d (* M D)) (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (/ D (/ (* d d) M)) (sqrt (/ h (pow d 3))) (* (sqrt (/ h (pow d 3))) (* D D)))
25.0ms	M	@	0	((+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (sqrt (/ d h))) (* -1/2 h) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (sqrt (* (neg d) (/ d l))) (* (neg d) (/ d l)) (/ M (/ 4 D)) (neg (* (/ h l) 1/2)) (* (* (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (sqrt (/ d h))) (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/ (sqrt (neg d)) (sqrt (neg l)))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* 1/4 (pow (/ d (* M D)) -2)) l) (/ d (* M D)) (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (/ D (/ (* d d) M)) (sqrt (/ h (pow d 3))) (* (sqrt (/ h (pow d 3))) (* D D)))
20.0ms	D	@	-inf	((+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (sqrt (/ d h))) (* -1/2 h) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (sqrt (* (neg d) (/ d l))) (* (neg d) (/ d l)) (/ M (/ 4 D)) (neg (* (/ h l) 1/2)) (* (* (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (sqrt (/ d h))) (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/ (sqrt (neg d)) (sqrt (neg l)))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* 1/4 (pow (/ d (* M D)) -2)) l) (/ d (* M D)) (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (/ D (/ (* d d) M)) (sqrt (/ h (pow d 3))) (* (sqrt (/ h (pow d 3))) (* D D)))
17.0ms	l	@	0	((+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (sqrt (/ d h))) (* -1/2 h) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (sqrt (* (neg d) (/ d l))) (* (neg d) (/ d l)) (/ M (/ 4 D)) (neg (* (/ h l) 1/2)) (* (* (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (sqrt (/ d h))) (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/ (sqrt (neg d)) (sqrt (neg l)))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* 1/4 (pow (/ d (* M D)) -2)) l) (/ d (* M D)) (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (/ D (/ (* d d) M)) (sqrt (/ h (pow d 3))) (* (sqrt (/ h (pow d 3))) (* D D)))
11.0ms	d	@	-inf	((+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ d (* M D)) -2)) l)) 1) (sqrt (/ d h))) (* -1/2 h) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (sqrt (* (neg d) (/ d l))) (* (neg d) (/ d l)) (/ M (/ 4 D)) (neg (* (/ h l) 1/2)) (* (* (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (sqrt (/ d h))) (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/ (sqrt (neg d)) (sqrt (neg l)))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* 1/4 (pow (/ d (* M D)) -2)) l) (/ d (* M D)) (+ (* (neg (* (/ h l) 1/2)) (* (/ M (/ 4 D)) (/ D (/ (* d d) M)))) 1) (/ D (/ (* d d) M)) (sqrt (/ h (pow d 3))) (* (sqrt (/ h (pow d 3))) (* D D)))

simplify175.0ms (1.1%)

Memory

32.3MiB live, 189.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1108
1	706	1062
2	2487	1059
3	5543	1048
0	8670	1023

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

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

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

rewrite163.0ms (1%)

Memory

-2.6MiB live, 231.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	449
0	144	432
1	473	419
2	3261	403
0	10007	403

Stop Event

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

Counts

28 → 954

Calls

Call 1

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

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

eval137.0ms (0.9%)

Memory: 0.2MiB live, 315.3MiB allocated
Compiler: Compiled 39 948 to 3 732 computations (90.7% saved)

prune92.0ms (0.6%)

Memory

-10.0MiB live, 232.6MiB allocated

Pruning

63 alts after pruning (58 fresh and 5 done)

	Pruned	Kept	Total
New	962	18	980
Fresh	6	40	46
Picked	3	2	5
Done	0	3	3
Total	971	63	1 034

Accuracy

94.0%

Counts

1 034 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	26.2%	(/.f64 (fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))) (sqrt.f64 (.f64 l h)) (.f64 l d)) (.f64 l (sqrt.f64 (*.f64 l h))))
	56.8%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 D (/.f64 (.f64 d d) M)) M) #s(literal 4 binary64)) D) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	30.6%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 D (/.f64 (.f64 d d) M)) M) #s(literal 4 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	35.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	30.0%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 D (/.f64 (.f64 d d) M)) M) #s(literal 4 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	37.7%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	57.7%	(.f64 (.f64 (fma.f64 (/.f64 D (/.f64 (.f64 d d) M)) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) M) (*.f64 D #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	57.0%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 D (/.f64 (.f64 d d) M)) M) #s(literal 4 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	68.3%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	57.8%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 D (/.f64 (.f64 d d) M))) (.f64 #s(literal 1/4 binary64) (*.f64 D M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	60.4%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) M) (*.f64 D #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) d)) M #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	54.4%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) M) (.f64 D #s(literal 1/4 binary64))) D) (/.f64 M (.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
✓	69.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
✓	70.4%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	30.6%	(.f64 (.f64 (fma.f64 (neg.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (/.f64 M (/.f64 #s(literal 4 binary64) D)) (/.f64 D (/.f64 (*.f64 d d) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
	65.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) d)))
	35.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.1%	(.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))))
	55.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) #s(literal 4 binary64)) (/.f64 M (.f64 d d))) (.f64 M D))))
	30.9%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	33.7%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	58.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	38.5%	(.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
	38.9%	(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
	35.6%	(.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))))
	58.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	26.6%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 D D) l) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	51.3%	(.f64 (.f64 #s(approx (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	25.8%	(.f64 (.f64 #s(approx (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	11.5%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) #s(approx (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	10.8%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) #s(approx (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 d l)))
	40.7%	(.f64 #s(approx ( (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	33.6%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (/.f64 (.f64 D D) l) d) #s(literal -1/8 binary64))) (sqrt.f64 h) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (pow.f64 l #s(literal -1/2 binary64)))
	29.4%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt 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)) (pow.f64 l #s(literal -1/2 binary64)))
	21.1%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal 3 binary64)))) d (.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)) (pow.f64 l #s(literal -1/2 binary64)))
	16.7%	(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l)))) (pow.f64 l #s(literal -1/2 binary64)))
	34.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	2.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
	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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	22.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (neg.f64 (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 h))))
	4.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (*.f64 d d)))) (sqrt.f64 (neg.f64 h))))
	15.2%	#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 (*.f64 d d) (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	5.4%	#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 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (/.f64 (*.f64 l h) d))))))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 (/.f64 h d) l))))
	3.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 (/.f64 h d) (neg.f64 l)))))
	23.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 (/.f64 h d) l))))
	2.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	28.5%	#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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	30.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (neg.f64 (sqrt.f64 (*.f64 l h)))))
	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	2.3%	#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))
✓	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #s(literal -1 binary64))) d))
	24.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 l h))) (sqrt.f64 d)))
✓	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d (*.f64 (/.f64 h d) l))))
	32.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	22.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) h) 1)) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) #s(literal -1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))

Compiler

Compiled 7 051 to 2 360 computations (66.5% saved)

regimes238.0ms (1.5%)

Memory

-4.9MiB live, 473.6MiB 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 d (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d (*.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 l h))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (neg.f64 (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) (sqrt.f64 (.f64 (/.f64 h d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) d)) #s(approx (sqrt ( (/ h d) l)) (neg.f64 (sqrt.f64 (/.f64 (*.f64 l h) d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (*.f64 d d)))) (sqrt.f64 (neg.f64 h))))
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(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 D D) l) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) l)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
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(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) M) (*.f64 D #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) d)) M #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
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(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
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(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 D (/.f64 (.f64 d d) M)) M) #s(literal 4 binary64)) D) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
(.f64 (.f64 (fma.f64 (neg.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (/.f64 M (/.f64 #s(literal 4 binary64) D)) (/.f64 D (/.f64 (*.f64 d d) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (neg.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (/.f64 M (/.f64 #s(literal 4 binary64) D)) (/.f64 D (/.f64 (*.f64 d d) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
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(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 D (/.f64 (.f64 d d) M)) M) #s(literal 4 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
(.f64 (.f64 (fma.f64 (neg.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (/.f64 M (/.f64 #s(literal 4 binary64) D)) (/.f64 D (/.f64 (*.f64 d d) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
#s(approx (* (* (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l)))) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) #s(approx (* (* (* (neg M) M) (* (sqrt (/ h (pow d 3))) (* D D))) (/ -1/8 l)) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 d l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (/.f64 (.f64 D D) l) d) #s(literal -1/8 binary64))) (sqrt.f64 h) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) l) h) 1)) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) #s(literal -1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt 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)) (pow.f64 l #s(literal -1/2 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 M D)) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 D M)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
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(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 l h)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
(.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 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 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) #s(literal 4 binary64)) (/.f64 M (.f64 d d))) (.f64 M D))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
(/.f64 (fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))) (sqrt.f64 (.f64 l h)) (.f64 l d)) (.f64 l (sqrt.f64 (*.f64 l h))))
(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
(.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal 3 binary64)))) d (.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)) (pow.f64 l #s(literal -1/2 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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (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))) (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 M M) #s(literal 1 binary64))))
(.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)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
(.f64 (.f64 (/.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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) #s(literal 4 binary64)) (/.f64 M (.f64 d d))) (.f64 D M))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (.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))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) d)))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #s(literal -1 binary64))) d))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

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

Calls

7 calls:

39.0ms	l
34.0ms	D
33.0ms	h
33.0ms	M
31.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
82.4%	4	`d`
78.7%	3	`h`
76.7%	2	`l`
70.4%	1	`M`
70.4%	1	`D`
73.0%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
70.4%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes90.0ms (0.6%)

Memory

-2.0MiB live, 194.3MiB allocated

Counts

94 → 4

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	h
28.0ms	l
27.0ms	d

Results

Accuracy	Segments	Branch
74.1%	2	`l`
76.1%	3	`h`
79.8%	4	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes31.0ms (0.2%)

Memory

24.6MiB live, 62.4MiB allocated

Counts

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

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

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
78.4%	4	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes30.0ms (0.2%)

Memory

-22.4MiB live, 58.0MiB allocated

Counts

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
78.3%	4	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes27.0ms (0.2%)

Memory

18.7MiB live, 57.2MiB allocated

Counts

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
77.9%	4	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes25.0ms (0.2%)

Memory

14.6MiB live, 52.8MiB allocated

Counts

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

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
77.9%	4	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes89.0ms (0.6%)

Memory

2.6MiB live, 120.8MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

25.0ms	h
23.0ms	l
20.0ms	d
17.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
73.0%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
70.2%	2	`l`
71.9%	2	`h`
75.7%	4	`d`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes26.0ms (0.2%)

Memory

-5.2MiB live, 29.8MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

23.0ms

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

Results

Accuracy	Segments	Branch
72.9%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes43.0ms (0.3%)

Memory

14.4MiB live, 50.0MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

22.0ms

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

17.0ms

Results

Accuracy	Segments	Branch
70.4%	2	`d`
72.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes101.0ms (0.6%)

Memory

-3.0MiB live, 112.1MiB allocated

Counts

56 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

22.0ms	h
22.0ms	D
22.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
16.0ms	M
15.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
69.9%	2	`h`
70.6%	2	`M`
70.6%	2	`D`
70.6%	2	`(*.f64 M D)`
71.0%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 41 to 43 computations (-4.9% saved)

regimes359.0ms (2.3%)

Memory

-150.5MiB live, 187.6MiB allocated

Counts

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

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 d l)) (sqrt.f64 (/.f64 h d))))

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

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

Calls

7 calls:

267.0ms	M
17.0ms	h
17.0ms	D
17.0ms	d
14.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
63.8%	3	`h`
63.5%	2	`l`
67.1%	4	`d`
65.9%	3	`D`
68.7%	3	`(*.f64 M D)`
66.2%	3	`M`
67.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes31.0ms (0.2%)

Memory

-4.4MiB live, 41.7MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

17.0ms

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

11.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
67.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
67.6%	3	`(*.f64 M D)`

Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes69.0ms (0.4%)

Memory

19.6MiB live, 93.3MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

17.0ms	D
17.0ms	(*.f64 M D)
11.0ms	M
11.0ms	d
10.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
65.1%	5	`d`
61.5%	3	`D`
63.6%	3	`M`
64.3%	3	`(*.f64 M D)`
65.2%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 41 to 43 computations (-4.9% saved)

regimes80.0ms (0.5%)

Memory

-8.8MiB live, 119.5MiB allocated

Counts

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

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

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

Calls

7 calls:

15.0ms	h
12.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
12.0ms	d
10.0ms	D
10.0ms	M

Results

Accuracy	Segments	Branch
45.2%	2	`D`
55.8%	4	`d`
46.1%	2	`M`
53.6%	3	`h`
46.8%	2	`(*.f64 M D)`
56.4%	3	`l`
51.9%	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)

regimes32.0ms (0.2%)

Memory

12.2MiB live, 50.3MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

12.0ms	l
9.0ms	d
9.0ms	h

Results

Accuracy	Segments	Branch
51.3%	2	`h`
51.3%	2	`d`
51.3%	2	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes26.0ms (0.2%)

Memory

-1.3MiB live, 36.8MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

8.0ms	l
6.0ms	h
6.0ms	d
5.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
47.2%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
48.5%	2	`d`
50.0%	3	`h`
48.8%	2	`l`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes15.0ms (0.1%)

Memory

-17.3MiB live, 25.1MiB 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 d (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

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 (neg.f64 (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 l h))))

Calls

5 calls:

5.0ms	d
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	l
2.0ms	h
2.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
30.9%	1	`(*.f64 M D)`
30.9%	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))))`
46.3%	2	`h`
46.4%	2	`d`
46.3%	2	`l`

Compiler

Compiled 41 to 43 computations (-4.9% saved)

regimes6.0ms (0%)

Memory

18.0MiB live, 18.0MiB 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

5 calls:

1.0ms	h
1.0ms	M
1.0ms	d
1.0ms	l
1.0ms	D

Results

Accuracy	Segments	Branch
30.9%	1	`D`
30.9%	1	`M`
30.9%	1	`l`
30.9%	1	`h`
30.9%	1	`d`

Compiler

Compiled 5 to 25 computations (-400% saved)

bsearch288.0ms (1.8%)

Memory

-7.3MiB live, 305.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
53.0ms	2.9773135429442553e-24	1.0721458427975552e-17
91.0ms	5.703677678636137e-155	1.1946262657563683e-147
125.0ms	-4.2970058752165573e-308	3.7237171979188835e-304

Samples

134.0ms	432×	0	valid
103.0ms	433×	0	invalid

Compiler

Compiled 2 486 to 1 947 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 49.0ms (41.2% of total)

ival-div: 33.0ms (27.8% of total)

ival-pow: 21.0ms (17.7% of total)

ival-pow2: 9.0ms (7.6% of total)

ival-sub: 4.0ms (3.4% of total)

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

exact: 1.0ms (0.8% of total)

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

bsearch8.0ms (0%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
2.0ms	2.9773135429442553e-24	1.0721458427975552e-17
2.0ms	5.703677678636137e-155	1.1946262657563683e-147
2.0ms	-4.2970058752165573e-308	3.7237171979188835e-304

Compiler

Compiled 2 459 to 1 938 computations (21.2% saved)

bsearch96.0ms (0.6%)

Memory

-20.5MiB live, 54.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
82.0ms	1.6540220649237285e-36	6.942980851917311e-36
2.0ms	5.703677678636137e-155	1.1946262657563683e-147
7.0ms	-4.2970058752165573e-308	3.7237171979188835e-304

Samples

63.0ms	96×	0	valid
12.0ms	93×	0	invalid

Compiler

Compiled 2 201 to 1 737 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-pow: 52.0ms (76% of total)

ival-div: 7.0ms (10.2% of total)

ival-mult: 6.0ms (8.8% of total)

ival-pow2: 2.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.6540220649237285e-36	6.942980851917311e-36
2.0ms	5.703677678636137e-155	1.1946262657563683e-147
2.0ms	-4.2970058752165573e-308	3.7237171979188835e-304

Compiler

Compiled 2 201 to 1 737 computations (21.1% saved)

bsearch7.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.6540220649237285e-36	6.942980851917311e-36
2.0ms	5.703677678636137e-155	1.1946262657563683e-147
2.0ms	-4.2970058752165573e-308	3.7237171979188835e-304

Compiler

Compiled 2 174 to 1 710 computations (21.3% saved)

bsearch10.0ms (0.1%)

Memory

-23.9MiB live, 12.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.6540220649237285e-36	6.942980851917311e-36
2.0ms	5.703677678636137e-155	1.1946262657563683e-147
5.0ms	-4.2970058752165573e-308	3.7237171979188835e-304

Compiler

Compiled 2 174 to 1 710 computations (21.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.961135542051022e+205	6.728675821563007e+205
0.0ms	2.968912428164199e-94	4.988029173188139e-91

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0000924726359932e-227
0.0ms	-6.494698298234248e-116	-3.271827652689315e-152

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0000924726359932e-227
0.0ms	-1501063159699.5623	-2.339967785453668e-42

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch138.0ms (0.9%)

Memory

11.6MiB live, 168.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
68.0ms	5.918578916385918e+127	6.377910095913303e+137
58.0ms	-2.4757144022917377e-308	1.8247661886432462e-307

Samples

58.0ms	307×	0	invalid
44.0ms	272×	0	valid

Compiler

Compiled 1 249 to 901 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 21.0ms (29.4% of total)

ival-mult: 20.0ms (28% of total)

ival-pow: 20.0ms (28% of total)

ival-pow2: 6.0ms (8.4% of total)

ival-sub: 3.0ms (4.2% of total)

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

exact: 1.0ms (1.4% of total)

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

bsearch2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.4757144022917377e-308	1.8247661886432462e-307

Compiler

Compiled 661 to 443 computations (33% saved)

bsearch62.0ms (0.4%)

Memory

3.5MiB live, 82.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	1.1663973000935274e-259	1.3072027869623877e-256

Samples

25.0ms	128×	0	valid
23.0ms	135×	0	invalid

Compiler

Compiled 726 to 478 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 12.0ms (31.3% of total)

ival-pow: 12.0ms (31.3% of total)

ival-div: 9.0ms (23.5% of total)

ival-pow2: 3.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch47.0ms (0.3%)

Memory

7.7MiB live, 80.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-1.4954630694411717e-170	-7.443931253993166e-172

Samples

19.0ms	112×	0	valid
14.0ms	101×	0	invalid

Compiler

Compiled 633 to 415 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 9.0ms (36% of total)

ival-mult: 7.0ms (28% of total)

ival-pow: 5.0ms (20% of total)

ival-pow2: 2.0ms (8% of total)

ival-sub: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

simplify67.0ms (0.4%)

Memory

-27.9MiB live, 92.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	2377
1	336	2377
2	557	2377
3	1680	2377
4	4514	2377

Stop Event

1×	node limit

Calls

Call 1

Inputs
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(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 d #s(literal 7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (/.f64 (.f64 D D) l) d) #s(literal -1/8 binary64))) (sqrt.f64 h) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (pow.f64 l #s(literal -1/2 binary64))) (if (<=.f64 d #s(literal 3870711923725675/21267647932558653966460912964485513216 binary64)) (.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt 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)) (pow.f64 l #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64))))))
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(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 -1000000000000 binary64)) (.f64 (.f64 #s(approx (+ (* (* -1/2 h) (/ (* 1/4 (pow (/ (/ d D) M) -2)) l)) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 0 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 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 d l)) (sqrt.f64 (/.f64 h 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 (/.f64 d (neg.f64 (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 h)))) (if (<=.f64 l #s(literal 1199999999999999936295297595155915930000714486036898430086759397573668063617877135262598651406330691676941587902421309691122417664 binary64)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 D (/.f64 (.f64 d d) M)) M) #s(literal 4 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 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 (/.f64 d (neg.f64 (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 l #s(literal 6751350526538857/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 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 (neg.f64 (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 (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

Outputs
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(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal 7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (/.f64 (.f64 D D) l) d) #s(literal -1/8 binary64))) (sqrt.f64 h) (.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) d))) (pow.f64 l #s(literal -1/2 binary64))) (if (<=.f64 d #s(literal 3870711923725675/21267647932558653966460912964485513216 binary64)) (.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt 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 (pow.f64 h #s(literal -1 binary64))) (.f64 d d))) d)) (pow.f64 l #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64))))))
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 d #s(literal 7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (/.f64 (.f64 D D) l) d) #s(literal -1/8 binary64))) (sqrt.f64 h) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (pow.f64 l #s(literal -1/2 binary64))) (if (<=.f64 d #s(literal 3870711923725675/21267647932558653966460912964485513216 binary64)) (.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt 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)) (pow.f64 l #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64))))))
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 d #s(literal 7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (.f64 #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (/.f64 (.f64 D D) l) d) #s(literal -1/8 binary64))) (sqrt.f64 h) (.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) d))) (pow.f64 l #s(literal -1/2 binary64))) (if (<=.f64 d #s(literal 3870711923725675/21267647932558653966460912964485513216 binary64)) (.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt 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 (pow.f64 h #s(literal -1 binary64))) (.f64 d d))) d)) (pow.f64 l #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64))))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

soundness2.1s (13.4%)

Memory

-2.4MiB live, 1 401.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
0	38	68
1	124	67
2	836	67
0	8760	65
0	91	449
0	144	432
1	473	419
2	3261	403
0	10007	403
0	300	1341
1	874	1268
2	3190	1251
3	6633	1237
0	8427	1203
0	87	423
0	136	403
1	449	399
2	3049	387
0	9495	387
0	254	1101
1	717	1051
2	2508	1048
3	5630	1038
0	8231	1013
0	147	635
1	413	593
2	1514	584
3	4190	568
4	7941	568
0	8163	552
0	63	281
0	102	273
1	342	262
2	2390	252
0	8701	252

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×	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

Compiler

Compiled 5 002 to 1 989 computations (60.2% saved)

preprocess219.0ms (1.4%)

Memory: 9.8MiB live, 321.3MiB allocated
Remove: (abs M)
Compiler: Compiled 6 828 to 1 458 computations (78.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze854.0ms (5.4%)

sample5.1s (32.4%)

explain480.0ms (3%)

preprocess181.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify159.0ms (1%)

localize81.0ms (0.5%)

series54.0ms (0.3%)

simplify119.0ms (0.8%)

rewrite247.0ms (1.6%)

eval109.0ms (0.7%)

prune71.0ms (0.4%)

simplify140.0ms (0.9%)

localize276.0ms (1.7%)

series137.0ms (0.9%)

simplify170.0ms (1.1%)

rewrite178.0ms (1.1%)

eval184.0ms (1.2%)

prune112.0ms (0.7%)

simplify160.0ms (1%)

localize324.0ms (2%)

series192.0ms (1.2%)

simplify199.0ms (1.3%)

rewrite320.0ms (2%)

eval156.0ms (1%)

prune115.0ms (0.7%)

simplify201.0ms (1.3%)

localize329.0ms (2.1%)

series170.0ms (1.1%)

simplify175.0ms (1.1%)

rewrite163.0ms (1%)

eval137.0ms (0.9%)

prune92.0ms (0.6%)

regimes238.0ms (1.5%)

regimes90.0ms (0.6%)

regimes31.0ms (0.2%)

regimes30.0ms (0.2%)

regimes27.0ms (0.2%)

regimes25.0ms (0.2%)

regimes89.0ms (0.6%)

regimes26.0ms (0.2%)

regimes43.0ms (0.3%)

regimes101.0ms (0.6%)

regimes359.0ms (2.3%)

regimes31.0ms (0.2%)

regimes69.0ms (0.4%)

regimes80.0ms (0.5%)

regimes32.0ms (0.2%)

regimes26.0ms (0.2%)

regimes15.0ms (0.1%)

regimes6.0ms (0%)

bsearch288.0ms (1.8%)

bsearch8.0ms (0%)

bsearch96.0ms (0.6%)

bsearch7.0ms (0%)

bsearch7.0ms (0%)

bsearch10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch138.0ms (0.9%)

bsearch2.0ms (0%)

bsearch62.0ms (0.4%)

bsearch47.0ms (0.3%)

simplify67.0ms (0.4%)

soundness2.1s (13.4%)

preprocess219.0ms (1.4%)

end0.0ms (0%)

Profiling