Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze460.0ms (2.7%)

Memory

36.1MiB live, 346.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.8s (33.8%)

Memory

4.7MiB live, 6 854.2MiB allocated

Samples

2.3s	13 662×	0	invalid
1.9s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-div: 1.1s (34% of total)

ival-mult: 890.0ms (28.7% of total)

ival-pow: 685.0ms (22.1% of total)

ival-pow2: 314.0ms (10.1% of total)

ival-sub: 109.0ms (3.5% of total)

exact: 21.0ms (0.7% of total)

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

ival-assert: 8.0ms (0.3% of total)

Bogosity

explain526.0ms (3%)

Memory

2.8MiB live, 550.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
69	0	-	5	(4.324797947383098e-258 4.447305045219572e-257 2.307802414880469e+64 6.4527312518491195e+199 1.1731260113069143e-216)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
65	0	-	0	-	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
36	1	(-1.858123142309742e+169 -5.7544357868975266e-148 -1.8474103600996382e+234 4.965331996902649e+107 2.832164242939237e+91)	1	(1.395373295333438e+146 1.3413185246654895e-20 4.921526002979751e-48 1.3563330137812701e-108 -3.171749045370576e+94)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
23	0	-	1	(7.530701418275702e-73 8.570474370014183e+298 1.5840764312943146e+193 -5.216744913015025e-168 -4.309151934255368e+86)	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 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))))`
14	0	-	1	(6.409098924870147e-148 8.504825996266574e-202 8.0582093339126115e+208 -4.823289247076009e-99 6.780248221185448e-219)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	0	-	0	-	`D`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	0	-	0	-	`(/.f64 h l)`
0	0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	0	-	0	-	`d`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 d l)`
0	0	-	0	-	`(*.f64 M D)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	0	-	`(/.f64 d h)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`l`
0	0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	0	-	0	-	`M`
0	0	-	0	-	`h`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	37	0
↳	`(/.f64 d h)`	overflow	37
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	36	0
↳	`(/.f64 d l)`	overflow	36
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	28	0
↳	`(/.f64 d l)`	underflow	28
`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
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	14	0
↳	`(/.f64 d h)`	underflow	28
↳	`(/.f64 d l)`	underflow	28
↳	`(*.f64 (pow.f64 (/.f64 d 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	15
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	83
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	83
↳	`(/.f64 h l)`	overflow	31
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	82
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	82
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	51
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	10	0
↳	`(*.f64 M D)`	overflow	33
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	9	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	8	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	83
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	83
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	51
↳	`(/.f64 h l)`	underflow	28

Confusion

	Predicted +	Predicted -
+	97	6
-	30	123

Precision

0.7637795275590551

Recall

0.941747572815534

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	97	0	6
-	30	0	123

Precision?

0.7637795275590551

Recall?

0.941747572815534

Freqs

test

number	freq
0	129
1	90
2	28
3	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

123.0ms

512×

valid

Compiler

Compiled 501 to 92 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 41.0ms (44% of total)

ival-pow: 21.0ms (22.5% of total)

ival-div: 20.0ms (21.5% of total)

ival-sub: 5.0ms (5.4% of total)

ival-pow2: 5.0ms (5.4% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess179.0ms (1%)

Memory

12.8MiB live, 138.9MiB 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

61.7%

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify189.0ms (1.1%)

Memory

-2.0MiB live, 120.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	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)

localize104.0ms (0.6%)

Memory

-14.3MiB live, 60.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.523059864255739	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	8.1840746240968	(.f64 (.f64 (/.f64 #s(literal 1 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	15.393003983693353	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.730007237950192	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

65.0ms

256×

valid

Compiler

Compiled 310 to 46 computations (85.2% saved)

Precisions

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

ival-mult: 28.0ms (54.3% of total)

ival-pow: 10.0ms (19.4% of total)

ival-div: 9.0ms (17.5% of total)

ival-pow2: 3.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series91.0ms (0.5%)

Memory

-1.0MiB live, 82.0MiB 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
27.0ms	l	@	inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
25.0ms	d	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
6.0ms	l	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
3.0ms	h	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify187.0ms (1.1%)

Memory

21.9MiB live, 135.3MiB 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))

rewrite263.0ms (1.5%)

Memory

-3.6MiB live, 229.8MiB 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)))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 h) d)))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
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(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)))))

eval114.0ms (0.7%)

Memory: -3.8MiB live, 114.7MiB allocated
Compiler: Compiled 20 228 to 1 520 computations (92.5% saved)

prune81.0ms (0.5%)

Memory

15.2MiB live, 91.0MiB allocated

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	446	30	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	447	30	477

Accuracy

94.8%

Counts

477 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(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)))
	22.5%	(fma.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) (pow.f64 l #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))))
	62.7%	(/.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 l))) (sqrt.f64 (/.f64 h d)))
	61.1%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	36.8%	(/.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)))
▶	37.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	33.5%	(/.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 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	36.4%	(/.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))
	52.7%	(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	52.6%	(.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)))
	61.7%	(.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 l))) (sqrt.f64 (/.f64 d h)))
	59.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (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)))
▶	64.2%	(.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 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	58.1%	(.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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	22.1%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
	36.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	60.7%	(.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))))
	60.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	33.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.1%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.4%	(.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)))
	23.5%	#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)))
	42.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.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))
▶	19.5%	#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)))
	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 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	16.2%	#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 (.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)))))))
	11.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	27.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 408 to 1 668 computations (30.7% saved)

simplify412.0ms (2.4%)

Memory

-13.9MiB live, 187.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
cost-diff	320	(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
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	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d))
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
cost-diff	0	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d))
cost-diff	0	(/.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))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
cost-diff	0	(*.f64 l h)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	6848	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	699
0	156	686
1	264	670
2	664	662
3	3151	662
4	7619	662
0	8080	656

Stop Event

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

Calls

Call 1

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

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

localize271.0ms (1.6%)

Memory

0.3MiB live, 365.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.2867182575174816	(.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))))
accuracy	4.179139927521969	(.f64 (.f64 (/.f64 #s(literal 1 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	6.883401305814322	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.82804424387288	(sqrt.f64 (/.f64 l d))
accuracy	1.517161368316248	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	2.2161549147591493	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
accuracy	3.138345762356235	(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	8.706946655465782	(sqrt.f64 (/.f64 d l))
accuracy	6.919303958993313	(sqrt.f64 (*.f64 l h))
accuracy	8.740626466041999	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
accuracy	10.601871278585858	(sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h))
accuracy	11.884029116623719	(/.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))
accuracy	0.10546875	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.6278082073581418	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	6.13820974119582	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	17.58116882658796	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
accuracy	3.2867182575174816	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
accuracy	4.0922692906616485	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
accuracy	6.883401305814322	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.706946655465782	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

105.0ms	131×	0	valid
79.0ms	125×	0	invalid

Compiler

Compiled 1 452 to 172 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 63.0ms (45.4% of total)

ival-div: 30.0ms (21.6% of total)

ival-pow: 23.0ms (16.6% of total)

ival-sqrt: 12.0ms (8.6% of total)

ival-pow2: 5.0ms (3.6% of total)

ival-add: 2.0ms (1.4% of total)

ival-sub: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series198.0ms (1.1%)

Memory

3.9MiB live, 282.3MiB allocated

Counts

28 → 99

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
41.0ms	D	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (sqrt (/ l d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
22.0ms	d	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (sqrt (/ l d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
21.0ms	D	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (sqrt (/ l d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
20.0ms	h	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (sqrt (/ l d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
13.0ms	h	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (sqrt (/ l d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify175.0ms (1%)

Memory

-5.7MiB live, 160.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	2128
1	1142	1977
2	4188	1955
0	8616	1902

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 99

Calls

Call 1

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

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

rewrite276.0ms (1.6%)

Memory

-10.2MiB live, 258.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	438
0	156	414
1	463	390
2	3195	370
0	10379	370

Stop Event

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

Counts

28 → 1 008

Calls

Call 1

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

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

eval231.0ms (1.3%)

Memory: 7.6MiB live, 162.6MiB allocated
Compiler: Compiled 41 378 to 3 786 computations (90.9% saved)

prune150.0ms (0.9%)

Memory

9.7MiB live, 129.9MiB allocated

Pruning

56 alts after pruning (55 fresh and 1 done)

	Pruned	Kept	Total
New	828	44	872
Fresh	14	11	25
Picked	4	1	5
Done	0	0	0
Total	846	56	902

Accuracy

95.5%

Counts

902 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.7%	(/.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
▶	61.1%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	39.0%	(/.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	38.6%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	39.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 (/.f64 D d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	38.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D d)) M) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	33.5%	(/.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 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	36.4%	(/.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))
	29.0%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	16.9%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	52.7%	(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	2.6%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
	40.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 h) (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 d (sqrt.f64 l))))
	36.6%	(.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	52.6%	(.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)))
	62.7%	(.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 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	61.7%	(.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	62.1%	(.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	61.7%	(.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 l))) (sqrt.f64 (/.f64 d h)))
▶	64.2%	(.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 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h))))
	35.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	62.7%	(.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 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (.f64 (/.f64 #s(literal 1/2 binary64) l) (*.f64 (/.f64 D d) M))) (/.f64 #s(literal -1 binary64) h))))
	63.5%	(.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 1/2 binary64) l) (.f64 (/.f64 D d) M)) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)))))
	43.4%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal 1 binary64))))
	60.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	34.1%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	29.4%	#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 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d))) (*.f64 l l)))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 D D) d) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (.f64 l h))) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) (*.f64 l l)))
	42.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.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))
	31.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
	30.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 h) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d)) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) (*.f64 l l)))
	31.6%	#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 (fma.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) l) l))
	22.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	37.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	18.5%	#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 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
▶	20.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l)))
	7.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
▶	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	31.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.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))
	23.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) 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))
	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal -1 binary64))))) d))
	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	11.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	19.0%	#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 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
	36.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	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) (.f64 (sqrt.f64 (.f64 l h)) (sqrt.f64 (.f64 l h))))) d))
✓	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	19.0%	#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) (sqrt.f64 (.f64 (.f64 l h) (.f64 l h))))) d))
	27.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	27.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d l) d) h)))
	30.4%	#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))))

Compiler

Compiled 4 832 to 3 268 computations (32.4% saved)

simplify162.0ms (0.9%)

Memory

11.0MiB live, 211.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 l d)))
cost-diff	0	(/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h)))
cost-diff	0	(*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 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 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
cost-diff	5888	(neg.f64 (pow.f64 l #s(literal -1 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 d)))
cost-diff	0	(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
cost-diff	320	(*.f64 #s(literal 1 binary64) (neg.f64 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	128	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h)))
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	77	495
0	126	475
1	224	470
2	560	470
3	3005	470
4	6393	470
0	8172	465

Stop Event

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

Calls

Call 1

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

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

localize255.0ms (1.5%)

Memory

-4.4MiB live, 393.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.286295175553027	(/.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)))
accuracy	3.402770263407601	(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	7.597933129859127	(sqrt.f64 (/.f64 l d))
accuracy	8.513508927879027	(sqrt.f64 (/.f64 d h))
accuracy	0.0859375	(sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64))))
accuracy	0.11328125	(*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)
accuracy	0.19044877930532603	(/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h)))
accuracy	29.78713614222672	#s(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))
accuracy	0.125	(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l))))
accuracy	2.2910847888110495	(*.f64 (/.f64 h d) (neg.f64 l))
accuracy	9.469894875041447	(sqrt.f64 (*.f64 (/.f64 h d) (neg.f64 l)))
accuracy	12.814102219779626	#s(approx (* (* (pow (/ 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) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
accuracy	0.0	(*.f64 l h)
accuracy	0.1171875	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	7.750721499955556	(sqrt.f64 (*.f64 l h))
accuracy	29.78713614222672	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	2.2363416067382573	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h))))
accuracy	4.627705304623647	(.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))
accuracy	7.023060582484411	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.509602677879027	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

117.0ms	131×	0	invalid
66.0ms	125×	0	valid

Compiler

Compiled 1 026 to 149 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-div: 69.0ms (46.7% of total)

ival-mult: 32.0ms (21.7% of total)

ival-pow: 24.0ms (16.2% of total)

ival-sqrt: 12.0ms (8.1% of total)

ival-neg: 4.0ms (2.7% of total)

ival-pow2: 3.0ms (2% of total)

ival-sub: 2.0ms (1.4% of total)

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

exact: 1.0ms (0.7% of total)

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

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

series106.0ms (0.6%)

Memory

-19.6MiB live, 105.0MiB allocated

Counts

27 → 68

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

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

Calls

15 calls:

Time	Variable		Point	Expression
21.0ms	l	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (* (* (/ M d) (* 1/4 D)) 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 (neg d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 (neg d))) (sqrt (* (/ h d) (neg l)))) (sqrt (* 1 (neg d))) (neg (pow l -1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg (pow l -1))) (sqrt (neg h))) d) (/ (sqrt (neg (pow l -1))) (sqrt (neg h))) (/ (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ l d))) (* (+ (* (* -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)) (* (/ M d) (* 1/4 D)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (* (* (/ M d) (* 1/4 D)) h)))) (sqrt (* (/ h d) (neg l))) (* (/ h d) (neg l)) (sqrt (neg (pow l -1))) (sqrt (/ d h)) (sqrt (/ l d)))
15.0ms	D	@	inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (* (* (/ M d) (* 1/4 D)) 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 (neg d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 (neg d))) (sqrt (* (/ h d) (neg l)))) (sqrt (* 1 (neg d))) (neg (pow l -1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg (pow l -1))) (sqrt (neg h))) d) (/ (sqrt (neg (pow l -1))) (sqrt (neg h))) (/ (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ l d))) (* (+ (* (* -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)) (* (/ M d) (* 1/4 D)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (* (* (/ M d) (* 1/4 D)) h)))) (sqrt (* (/ h d) (neg l))) (* (/ h d) (neg l)) (sqrt (neg (pow l -1))) (sqrt (/ d h)) (sqrt (/ l d)))
6.0ms	d	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (* (* (/ M d) (* 1/4 D)) 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 (neg d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 (neg d))) (sqrt (* (/ h d) (neg l)))) (sqrt (* 1 (neg d))) (neg (pow l -1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg (pow l -1))) (sqrt (neg h))) d) (/ (sqrt (neg (pow l -1))) (sqrt (neg h))) (/ (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ l d))) (* (+ (* (* -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)) (* (/ M d) (* 1/4 D)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (* (* (/ M d) (* 1/4 D)) h)))) (sqrt (* (/ h d) (neg l))) (* (/ h d) (neg l)) (sqrt (neg (pow l -1))) (sqrt (/ d h)) (sqrt (/ l d)))
6.0ms	l	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (* (* (/ M d) (* 1/4 D)) 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 (neg d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 (neg d))) (sqrt (* (/ h d) (neg l)))) (sqrt (* 1 (neg d))) (neg (pow l -1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg (pow l -1))) (sqrt (neg h))) d) (/ (sqrt (neg (pow l -1))) (sqrt (neg h))) (/ (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ l d))) (* (+ (* (* -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)) (* (/ M d) (* 1/4 D)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (* (* (/ M d) (* 1/4 D)) h)))) (sqrt (* (/ h d) (neg l))) (* (/ h d) (neg l)) (sqrt (neg (pow l -1))) (sqrt (/ d h)) (sqrt (/ l d)))
5.0ms	d	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (* (* (/ M d) (* 1/4 D)) 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 (neg d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* 1 (neg d))) (sqrt (* (/ h d) (neg l)))) (sqrt (* 1 (neg d))) (neg (pow l -1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg (pow l -1))) (sqrt (neg h))) d) (/ (sqrt (neg (pow l -1))) (sqrt (neg h))) (/ (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ l d))) (* (+ (* (* -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)) (* (/ M d) (* 1/4 D)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ D d) M) 1/2) l) (* (* (/ M d) (* 1/4 D)) h)))) (sqrt (* (/ h d) (neg l))) (* (/ h d) (neg l)) (sqrt (neg (pow l -1))) (sqrt (/ d h)) (sqrt (/ l d)))

simplify126.0ms (0.7%)

Memory

12.5MiB live, 124.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	1187
1	729	1105
2	2542	1092
3	6100	1086
0	8119	1054

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

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

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

rewrite254.0ms (1.5%)

Memory

10.8MiB live, 249.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	345
0	126	322
1	390	305
2	2504	302
0	8439	300

Stop Event

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

Counts

27 → 811

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

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

eval153.0ms (0.9%)

Memory: 12.4MiB live, 165.1MiB allocated
Compiler: Compiled 37 399 to 2 980 computations (92% saved)

prune126.0ms (0.7%)

Memory

0.5MiB live, 205.2MiB allocated

Pruning

62 alts after pruning (59 fresh and 3 done)

	Pruned	Kept	Total
New	798	23	821
Fresh	14	36	50
Picked	3	2	5
Done	0	1	1
Total	815	62	877

Accuracy

95.5%

Counts

877 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.7%	(/.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
	62.7%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 M (/.f64 D d))) #s(literal -2 binary64)) #s(literal -1/2 binary64)) h) (pow.f64 l #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	33.9%	(/.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))) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))))
	36.7%	(/.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))) (.f64 (pow.f64 d #s(literal -1/2 binary64)) (sqrt.f64 l)))
✓	61.1%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
▶	39.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 (/.f64 D d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	38.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D d)) M) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	33.5%	(/.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 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	36.4%	(/.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))
	16.9%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	39.0%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (/.f64 D d))) l) h) (.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
	41.7%	(/.f64 (.f64 #s(approx (+ ( (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 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 l d)))
▶	52.7%	(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	17.6%	(/.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.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))) (sqrt.f64 (/.f64 l d)))
	2.6%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
	40.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 h) (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 d (sqrt.f64 l))))
	36.6%	(.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	54.5%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (/.f64 D d))) l) h) (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	52.6%	(.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)))
	61.7%	(.f64 (.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 M (/.f64 D d))) #s(literal -2 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	61.7%	(.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	64.6%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (/.f64 D d))) l) h) (.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	65.0%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (/.f64 D d))) l) h) (.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	35.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h))))
	60.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	64.2%	(.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 D d) M) #s(literal 1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h))))
	34.1%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	29.4%	#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 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d))) (*.f64 l l)))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 D D) d) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (.f64 l h))) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) (*.f64 l l)))
	42.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.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))
	31.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
	31.6%	#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 (fma.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) l) l))
	22.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	37.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	18.5%	#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 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 l h))))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (neg.f64 l)))))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l)))
	7.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
	23.5%	#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))))
✓	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	31.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.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))
	23.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
	6.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 #s(literal -1 binary64) l)) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 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 (/.f64 #s(literal -1 binary64) l)) (sqrt.f64 (neg.f64 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 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) l)) #s(literal 1/2 binary64))) (sqrt.f64 (neg.f64 h))) d))
▶	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	11.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	19.6%	#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 h) (neg.f64 l))) (sqrt.f64 (neg.f64 d))))
	36.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	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) (.f64 (sqrt.f64 (.f64 l h)) (sqrt.f64 (.f64 l h))))) d))
✓	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	19.0%	#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) (sqrt.f64 (.f64 (.f64 l h) (.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 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) (/.f64 d (sqrt.f64 (neg.f64 h)))))
	27.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	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 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) l)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64)))) d))
	27.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d l) d) h)))
	30.4%	#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))))

Compiler

Compiled 5 212 to 3 524 computations (32.4% saved)

simplify117.0ms (0.7%)

Memory

17.5MiB live, 169.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	580
0	129	575
1	250	565
2	712	558
3	3981	558
4	7347	558
0	8037	549

Stop Event

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

Calls

Call 1

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

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

localize237.0ms (1.4%)

Memory

-21.5MiB live, 439.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 (/.f64 (/.f64 d l) h) d)
accuracy	0.0	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
accuracy	0.0	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy	0.0	(sqrt.f64 (/.f64 d l))
accuracy	0.0	(sqrt.f64 h)
accuracy	0.0	(sqrt.f64 d)
accuracy	0.0	(neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)))
accuracy	0.0	(sqrt.f64 (neg.f64 d))
accuracy	0.0	(neg.f64 l)
accuracy	0.0	(neg.f64 d)
accuracy	0.0	#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 l))) (sqrt.f64 (neg.f64 d))))
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.0	(*.f64 l h)
accuracy	0.0	(sqrt.f64 (*.f64 l h))
accuracy	0.0	#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))
accuracy	0.0	(.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 D d)))
accuracy	0.0	(.f64 #s(literal -1/2 binary64) (.f64 M (/.f64 D d)))
accuracy	0.0	(sqrt.f64 (/.f64 d l))
accuracy	0.0	(sqrt.f64 (/.f64 d h))

Samples

171.0ms

256×

invalid

Compiler

Compiled 1 175 to 156 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 48.0ms (35.6% of total)

ival-div: 43.0ms (31.9% of total)

ival-sqrt: 18.0ms (13.3% of total)

ival-pow: 15.0ms (11.1% of total)

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

ival-neg: 3.0ms (2.2% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

series136.0ms (0.8%)

Memory

-10.7MiB live, 182.7MiB allocated

Counts

32 → 83

Calls

Call 1

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

Calls

15 calls:

Time	Variable		Point	Expression
40.0ms	D	@	0	((+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (* (* (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (* (/ (* -1/2 (* M (/ D d))) l) 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 (/ (/ d h) (neg l))) (sqrt (neg d))) (sqrt (/ (/ d h) (neg l))) (/ (/ d h) (neg l)) (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (neg (* (* (/ M d) h) (* 1/4 D))) (/ (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (/ (sqrt (* (/ (/ d l) h) d)) (/ 1 (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1))) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (/ d l) h) (sqrt (/ d h)) (sqrt (/ d l)) (* -1/2 (* M (/ D d))) (* 1/4 (* M (/ D d))) (* l h) (neg d) (neg l) (sqrt (neg d)) (sqrt d) (sqrt h) (* -1/2 (/ h l)) (* (/ 2 M) (/ d D)))
11.0ms	d	@	0	((+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (* (* (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (* (/ (* -1/2 (* M (/ D d))) l) 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 (/ (/ d h) (neg l))) (sqrt (neg d))) (sqrt (/ (/ d h) (neg l))) (/ (/ d h) (neg l)) (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (neg (* (* (/ M d) h) (* 1/4 D))) (/ (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (/ (sqrt (* (/ (/ d l) h) d)) (/ 1 (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1))) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (/ d l) h) (sqrt (/ d h)) (sqrt (/ d l)) (* -1/2 (* M (/ D d))) (* 1/4 (* M (/ D d))) (* l h) (neg d) (neg l) (sqrt (neg d)) (sqrt d) (sqrt h) (* -1/2 (/ h l)) (* (/ 2 M) (/ d D)))
10.0ms	h	@	-inf	((+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (* (* (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (* (/ (* -1/2 (* M (/ D d))) l) 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 (/ (/ d h) (neg l))) (sqrt (neg d))) (sqrt (/ (/ d h) (neg l))) (/ (/ d h) (neg l)) (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (neg (* (* (/ M d) h) (* 1/4 D))) (/ (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (/ (sqrt (* (/ (/ d l) h) d)) (/ 1 (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1))) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (/ d l) h) (sqrt (/ d h)) (sqrt (/ d l)) (* -1/2 (* M (/ D d))) (* 1/4 (* M (/ D d))) (* l h) (neg d) (neg l) (sqrt (neg d)) (sqrt d) (sqrt h) (* -1/2 (/ h l)) (* (/ 2 M) (/ d D)))
10.0ms	l	@	-inf	((+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (* (* (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (* (/ (* -1/2 (* M (/ D d))) l) 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 (/ (/ d h) (neg l))) (sqrt (neg d))) (sqrt (/ (/ d h) (neg l))) (/ (/ d h) (neg l)) (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (neg (* (* (/ M d) h) (* 1/4 D))) (/ (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (/ (sqrt (* (/ (/ d l) h) d)) (/ 1 (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1))) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (/ d l) h) (sqrt (/ d h)) (sqrt (/ d l)) (* -1/2 (* M (/ D d))) (* 1/4 (* M (/ D d))) (* l h) (neg d) (neg l) (sqrt (neg d)) (sqrt d) (sqrt h) (* -1/2 (/ h l)) (* (/ 2 M) (/ d D)))
9.0ms	d	@	-inf	((+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (* (* (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (* (/ (* -1/2 (* M (/ D d))) l) 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 (/ (/ d h) (neg l))) (sqrt (neg d))) (sqrt (/ (/ d h) (neg l))) (/ (/ d h) (neg l)) (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (neg (* (* (/ M d) h) (* 1/4 D))) (/ (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (/ (sqrt (* (/ (/ d l) h) d)) (/ 1 (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1))) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (/ d l) h) (sqrt (/ d h)) (sqrt (/ d l)) (* -1/2 (* M (/ D d))) (* 1/4 (* M (/ D d))) (* l h) (neg d) (neg l) (sqrt (neg d)) (sqrt d) (sqrt h) (* -1/2 (/ h l)) (* (/ 2 M) (/ d D)))

simplify176.0ms (1%)

Memory

17.6MiB live, 170.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	1479
1	952	1403
2	3374	1384
3	7126	1372
0	8278	1338

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 83

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

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

rewrite181.0ms (1%)

Memory

-0.6MiB live, 191.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	394
0	129	384
1	426	360
2	2910	345
0	8332	345

Stop Event

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

Counts

32 → 1 079

Calls

Call 1

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

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

eval171.0ms (1%)

Memory: 3.4MiB live, 209.5MiB allocated
Compiler: Compiled 40 611 to 4 048 computations (90% saved)

prune155.0ms (0.9%)

Memory

6.2MiB live, 240.4MiB allocated

Pruning

58 alts after pruning (55 fresh and 3 done)

	Pruned	Kept	Total
New	995	23	1 018
Fresh	22	32	54
Picked	4	1	5
Done	1	2	3
Total	1 022	58	1 080

Accuracy

95.9%

Counts

1 080 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.1%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) (.f64 (/.f64 M d) h)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
	33.9%	(/.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))) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))))
	36.7%	(/.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))) (.f64 (pow.f64 d #s(literal -1/2 binary64)) (sqrt.f64 l)))
	44.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 (/.f64 D d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 d)) (sqrt.f64 h))
	33.5%	(/.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 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	39.9%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 D d) M)) (.f64 h (/.f64 (.f64 (*.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	2.6%	(/.f64 #s(approx (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
	54.5%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (/.f64 D d))) l) h) (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	39.7%	(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) (.f64 (/.f64 M d) h)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	40.1%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 D d) M)) (.f64 h (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	63.9%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 M #s(literal -1/2 binary64)) D) d) l) h) (.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	65.0%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 M #s(literal -1/2 binary64)) (/.f64 d D)) l) h) (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	66.2%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (/.f64 D d))) l) h) (.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 d l)))
	66.2%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (/.f64 D d))) l) h) (.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l)))
	64.3%	(.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) (.f64 (/.f64 M d) h)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D d) M)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	35.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h))))
	55.8%	(.f64 (.f64 #s(approx (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 (.f64 (.f64 (*.f64 M M) h) D) (/.f64 D d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	34.0%	(.f64 (.f64 #s(approx (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 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)))
	23.4%	(.f64 (.f64 #s(approx (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D d)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	34.1%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	17.3%	(.f64 #s(approx ( (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (/.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))) (sqrt.f64 (/.f64 d l)))
	25.6%	(.f64 #s(approx ( (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (.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 h d)))) d)) (sqrt.f64 (/.f64 d l)))
	36.3%	(.f64 #s(approx ( (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	29.4%	#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 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d))) (*.f64 l l)))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 D D) d) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (sqrt.f64 (.f64 l h))) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) (*.f64 l l)))
	42.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.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))
	31.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
	22.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	37.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	18.5%	#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 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 l h))))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (neg.f64 l)))))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l)))
	7.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
	23.5%	#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))))
✓	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	27.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
	23.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
	6.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 #s(literal -1 binary64) l)) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))) d))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 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 (/.f64 #s(literal -1 binary64) l)) (sqrt.f64 (neg.f64 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 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) l)) #s(literal 1/2 binary64))) (sqrt.f64 (neg.f64 h))) d))
	23.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	11.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	20.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 h d))) (sqrt.f64 (neg.f64 d))))
	20.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 (neg.f64 l) h))) (sqrt.f64 (neg.f64 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) (.f64 (sqrt.f64 (.f64 l h)) (sqrt.f64 (.f64 l h))))) d))
✓	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	19.0%	#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) (sqrt.f64 (.f64 (.f64 l h) (.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 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) (/.f64 d (sqrt.f64 (neg.f64 h)))))
	27.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	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 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) l)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64)))) d))
	27.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d l) d) h)))
	30.4%	#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))))

Compiler

Compiled 7 640 to 2 370 computations (69% saved)

regimes252.0ms (1.5%)

Memory

5.0MiB live, 447.2MiB allocated

Counts

121 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

38.0ms	D
37.0ms	(*.f64 M D)
36.0ms	M
35.0ms	h
34.0ms	l

Results

Accuracy	Segments	Branch
83.5%	3	`d`
84.4%	4	`h`
83.5%	3	`l`
66.2%	1	`M`
66.2%	1	`D`
73.1%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
66.2%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes63.0ms (0.4%)

Memory

-22.0MiB live, 95.3MiB allocated

Counts

95 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

29.0ms	d
27.0ms	l

Results

Accuracy	Segments	Branch
83.5%	3	`d`
81.0%	2	`l`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes129.0ms (0.7%)

Memory

-0.1MiB live, 110.8MiB allocated

Counts

89 → 3

Calls

Call 1

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

Calls

3 calls:

48.0ms	l
48.0ms	d
25.0ms	h

Results

Accuracy	Segments	Branch
81.4%	3	`l`
81.7%	3	`h`
82.4%	4	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes63.0ms (0.4%)

Memory

15.9MiB live, 90.5MiB allocated

Counts

88 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

30.0ms	h
27.0ms	l

Results

Accuracy	Segments	Branch
81.2%	3	`l`
80.6%	3	`h`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes92.0ms (0.5%)

Memory

22.2MiB live, 97.6MiB allocated

Counts

72 → 4

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	h
21.0ms	l
20.0ms	d

Results

Accuracy	Segments	Branch
77.8%	3	`h`
81.9%	4	`d`
75.5%	2	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes29.0ms (0.2%)

Memory

-20.2MiB live, 28.3MiB allocated

Counts

63 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
80.0%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes22.0ms (0.1%)

Memory

-6.2MiB live, 31.1MiB allocated

Counts

59 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
78.8%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes21.0ms (0.1%)

Memory

1.3MiB live, 36.6MiB allocated

Counts

54 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
78.7%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes42.0ms (0.2%)

Memory

-5.8MiB live, 78.5MiB 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 (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 (*.f64 (/.f64 d l) d) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #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 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.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 d d)) (sqrt.f64 (.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 (neg.f64 l) h))) (sqrt.f64 (neg.f64 d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) (/.f64 d (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) (sqrt.f64 (neg.f64 h))) d))
(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
(/.f64 #s(approx (* (* (+ (* (* (/ 1/2 l) (* (/ D d) M)) (neg (* (* (/ M d) h) (* 1/4 D)))) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 l h) (.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 (/.f64 d h) (neg.f64 l))) (sqrt.f64 (neg.f64 d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.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 (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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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) (neg.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 (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 h d))) (sqrt.f64 (neg.f64 d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 l h)) (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 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (.f64 (sqrt.f64 (/.f64 h 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l)))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 D d) M)) (.f64 h (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) (.f64 (/.f64 M d) h)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
(.f64 (.f64 #s(approx (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D d)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 1) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 (.f64 (.f64 (*.f64 M M) h) D) (/.f64 D d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (/.f64 D d))) l) h) (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (.f64 #s(approx (+ (* (* (/ (* -1/2 (* M (/ D d))) l) h) (* 1/4 (* M (/ D d)))) 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 #s(literal -1/4 binary64) D) (.f64 (/.f64 M d) h)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))

Outputs

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

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

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

Calls

3 calls:

15.0ms	l
13.0ms	h
12.0ms	d

Results

Accuracy	Segments	Branch
74.1%	4	`l`
73.3%	3	`h`
75.5%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes50.0ms (0.3%)

Memory

16.6MiB live, 92.3MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

13.0ms	l
13.0ms	h
12.0ms	d
11.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
72.2%	5	`l`
67.1%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
69.4%	3	`h`
71.7%	3	`d`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes75.0ms (0.4%)

Memory

16.3MiB live, 130.8MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

16.0ms	D
12.0ms	M
12.0ms	d
11.0ms	h
11.0ms	l

Results

Accuracy	Segments	Branch
67.5%	4	`l`
53.7%	3	`M`
50.5%	2	`(*.f64 M D)`
46.4%	3	`D`
67.1%	3	`h`
66.0%	3	`d`

Compiler

Compiled 8 to 31 computations (-287.5% saved)

regimes43.0ms (0.2%)

Memory

12.7MiB live, 87.9MiB allocated

Counts

33 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
53.1%	4	`l`
56.0%	4	`d`
54.0%	4	`h`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes102.0ms (0.6%)

Memory

-15.3MiB live, 139.7MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

46.0ms	(*.f64 M D)
10.0ms	M
10.0ms	h
9.0ms	l
9.0ms	d

Results

Accuracy	Segments	Branch
50.6%	3	`l`
39.9%	2	`(*.f64 M D)`
43.7%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
51.4%	3	`h`
39.9%	2	`M`
50.2%	3	`d`

Compiler

Compiled 42 to 48 computations (-14.3% saved)

regimes11.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
51.4%	3	`h`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes41.0ms (0.2%)

Memory

-14.2MiB live, 43.4MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

21.0ms	h
9.0ms	d
9.0ms	l

Results

Accuracy	Segments	Branch
49.5%	3	`d`
50.2%	3	`l`
47.7%	2	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes11.0ms (0.1%)

Memory

-20.0MiB live, 17.5MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
48.5%	2	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes7.0ms (0%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	h
2.0ms	l
2.0ms	d

Results

Accuracy	Segments	Branch
44.7%	2	`h`
44.7%	2	`d`
45.5%	2	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes15.0ms (0.1%)

Memory

-3.7MiB live, 33.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

4.0ms	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	d
2.0ms	M

Results

Accuracy	Segments	Branch
23.9%	1	`(*.f64 M D)`
23.9%	1	`M`
23.9%	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))))`
23.9%	1	`h`
23.9%	1	`d`
23.9%	1	`D`
23.9%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes12.0ms (0.1%)

Memory

-16.1MiB live, 21.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	(*.f64 M D)
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	D
1.0ms	l
1.0ms	M

Results

Accuracy	Segments	Branch
23.1%	1	`D`
23.1%	1	`(*.f64 M D)`
23.1%	1	`h`
23.1%	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))))`
23.1%	1	`l`
23.1%	1	`d`
23.1%	1	`M`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch184.0ms (1.1%)

Memory

10.5MiB live, 207.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
92.0ms	-8.347449400024541e-285	4.045608869197263e-308
55.0ms	-1.7416310686122344e-59	-2.6303532521365504e-63

Samples

68.0ms	304×	0	valid
56.0ms	312×	0	invalid

Compiler

Compiled 1 336 to 1 094 computations (18.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 41.0ms (43.4% of total)

ival-mult: 24.0ms (25.4% of total)

ival-pow: 20.0ms (21.2% of total)

ival-pow2: 6.0ms (6.4% of total)

ival-sub: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

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

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

bsearch167.0ms (1%)

Memory

24.3MiB live, 220.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
102.0ms	-1.1421742170873882e-299	6.018622928472107e-267
52.0ms	-6.874371681712112e+231	-5.0257078454880615e+228

Samples

58.0ms	320×	0	valid
50.0ms	318×	0	invalid

Compiler

Compiled 1 414 to 1 134 computations (19.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 32.0ms (39% of total)

ival-div: 22.0ms (26.8% of total)

ival-pow: 18.0ms (21.9% of total)

ival-pow2: 6.0ms (7.3% of total)

ival-sub: 3.0ms (3.7% of total)

exact: 1.0ms (1.2% of total)

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

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

bsearch238.0ms (1.4%)

Memory

-5.0MiB live, 168.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
55.0ms	-4.812280756992228e-307	1.1443057547703446e-307
173.0ms	-3.551057366636247e+78	-1.4470170879811493e+76

Samples

170.0ms	225×	0	invalid
38.0ms	240×	0	valid

Compiler

Compiled 1 165 to 915 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-div: 154.0ms (80.5% of total)

ival-mult: 15.0ms (7.8% of total)

ival-pow: 15.0ms (7.8% of total)

ival-pow2: 5.0ms (2.6% of total)

ival-sub: 2.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch130.0ms (0.8%)

Memory

-26.4MiB live, 129.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-8.347449400024541e-285	4.045608869197263e-308
64.0ms	-7.766407834654255e+165	-1.7179745595719727e+153

Samples

26.0ms	160×	0	valid
22.0ms	151×	0	invalid

Compiler

Compiled 1 645 to 1 239 computations (24.7% saved)

Precisions

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

ival-div: 11.0ms (30.3% of total)

ival-mult: 10.0ms (27.6% of total)

ival-pow: 10.0ms (27.6% of total)

ival-pow2: 3.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch150.0ms (0.9%)

Memory

10.3MiB live, 170.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
2.0ms	-1.1421742170873882e-299	6.018622928472107e-267
39.0ms	-8.77835279312722e-231	-4.790046679176909e-232
85.0ms	-8.040678424410001e+158	-3.1187091312540244e+153

Samples

59.0ms	256×	0	valid
44.0ms	299×	0	invalid

Compiler

Compiled 2 377 to 1 645 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 19.0ms (29.5% of total)

ival-pow: 19.0ms (29.5% of total)

ival-mult: 17.0ms (26.4% of total)

ival-pow2: 6.0ms (9.3% of total)

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

exact: 1.0ms (1.6% of total)

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

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

bsearch5.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-1.1421742170873882e-299	6.018622928472107e-267
2.0ms	-8.040678424410001e+158	-3.1187091312540244e+153

Compiler

Compiled 1 511 to 1 095 computations (27.5% saved)

bsearch5.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-1.1421742170873882e-299	6.018622928472107e-267
2.0ms	-8.040678424410001e+158	-3.1187091312540244e+153

Compiler

Compiled 1 451 to 1 059 computations (27% saved)

bsearch9.0ms (0.1%)

Memory

-23.0MiB live, 11.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-1.1421742170873882e-299	6.018622928472107e-267
2.0ms	-8.040678424410001e+158	-3.1187091312540244e+153

Compiler

Compiled 1 409 to 1 080 computations (23.3% saved)

bsearch42.0ms (0.2%)

Memory

5.8MiB live, 42.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-1.1421742170873882e-299	6.018622928472107e-267
23.0ms	-8.040678424410001e+158	-3.1187091312540244e+153

Samples

10.0ms	64×	0	valid
7.0ms	57×	0	invalid

Compiler

Compiled 1 829 to 1 290 computations (29.5% saved)

Precisions

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

ival-div: 4.0ms (31.3% of total)

ival-mult: 4.0ms (31.3% of total)

ival-pow: 3.0ms (23.4% of total)

ival-sub: 1.0ms (7.8% of total)

ival-pow2: 1.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Memory

25.0MiB live, 25.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1.1421742170873882e-299	6.018622928472107e-267
2.0ms	-8.040678424410001e+158	-3.1187091312540244e+153

Samples

5.0ms	32×	0	valid
3.0ms	22×	0	invalid

Compiler

Compiled 1 817 to 1 254 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34.5% of total)

ival-mult: 2.0ms (34.5% of total)

ival-pow: 1.0ms (17.2% of total)

ival-pow2: 1.0ms (17.2% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch81.0ms (0.5%)

Memory

-35.2MiB live, 51.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.812280756992228e-307	1.1443057547703446e-307
43.0ms	-8.574489908698782e+120	-1.206692106974017e+120

Samples

20.0ms	98×	0	invalid
16.0ms	96×	0	valid

Compiler

Compiled 1 184 to 814 computations (31.3% saved)

Precisions

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

ival-div: 13.0ms (45.6% of total)

ival-mult: 6.0ms (21% of total)

ival-pow: 6.0ms (21% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch148.0ms (0.9%)

Memory

15.1MiB live, 137.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
70.0ms	5.5163020531334854e+42	2.2122845570967093e+45
2.0ms	-1.1421742170873882e-299	6.018622928472107e-267
65.0ms	-1.9990209978932555e+100	-1.1370200713348717e+96

Samples

40.0ms	256×	0	valid
32.0ms	261×	0	invalid

Compiler

Compiled 3 382 to 2 194 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 18.0ms (33.7% of total)

ival-mult: 16.0ms (30% of total)

ival-pow: 11.0ms (20.6% of total)

ival-pow2: 5.0ms (9.4% of total)

ival-sub: 2.0ms (3.7% of total)

exact: 1.0ms (1.9% of total)

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

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

bsearch3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.812280756992228e-307	1.1443057547703446e-307
1.0ms	-8.574489908698782e+120	-1.206692106974017e+120

Compiler

Compiled 1 312 to 878 computations (33.1% saved)

bsearch121.0ms (0.7%)

Memory

-9.6MiB live, 98.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.812280756992228e-307	1.1443057547703446e-307
101.0ms	-9.927776984495437e+106	-5.4020813651165055e+104

Samples

78.0ms	112×	0	valid
15.0ms	105×	0	invalid

Compiler

Compiled 1 393 to 928 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-pow: 64.0ms (77.9% of total)

ival-div: 8.0ms (9.7% of total)

ival-mult: 7.0ms (8.5% of total)

ival-pow2: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch165.0ms (1%)

Memory

32.8MiB live, 188.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	9.758214699692222e-306	1.0743260270622088e-303
111.0ms	-1.0492548711326602e+178	-1.2586734882146714e+172

Samples

66.0ms	256×	0	valid
36.0ms	242×	0	invalid

Compiler

Compiled 1 464 to 967 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 37.0ms (44.9% of total)

ival-pow: 21.0ms (25.5% of total)

ival-mult: 16.0ms (19.4% of total)

ival-pow2: 5.0ms (6.1% of total)

ival-sub: 2.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.758214699692222e-306	1.0743260270622088e-303

Compiler

Compiled 654 to 436 computations (33.3% saved)

bsearch103.0ms (0.6%)

Memory

-16.7MiB live, 143.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
97.0ms	-2.4344599046558895e-231	-1.953013690955017e-240

Samples

50.0ms	139×	0	invalid
31.0ms	144×	0	valid

Compiler

Compiled 839 to 561 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 32.0ms (49.7% of total)

ival-div: 14.0ms (21.7% of total)

ival-pow: 11.0ms (17.1% of total)

ival-pow2: 4.0ms (6.2% of total)

ival-sub: 2.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify118.0ms (0.7%)

Memory

-14.7MiB live, 108.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	265	2055
1	368	2051
2	696	2051
3	2413	2051
4	4987	2051

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 l #s(literal -5500124238772519/57896044618658097711785492504343953926634992332820282019728792003956564819968 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 l #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) h)))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 (/.f64 D d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 d)) (sqrt.f64 h))))
(if (<=.f64 d #s(literal -6799999999999999556684955474243626811607028282847727606746876753490251700389122308456861265175954864963423259991959087188914635682937459868615460314792454562587805651407631656368944392384632234039974712379315284432793661320003059712 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) (neg.f64 d))) (.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (neg.f64 l))))) (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))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 (/.f64 D d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 d)) (sqrt.f64 h))))
(if (<=.f64 h #s(literal -26999999999999999020910369426861293148463994523612259532468324448315304312832 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))) (if (<=.f64 h #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 (/.f64 D d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 d)) (sqrt.f64 h))))
(if (<=.f64 l #s(literal -50000000000000000089167497429395918257281821280150696355350763885064751423894976781023435399642148049938448518110489117821903823015814311726876591626281723703066624 binary64)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (/.f64 D d))) l) h) (.f64 #s(literal 1/4 binary64) (.f64 M (/.f64 D d))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 l #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 (/.f64 D d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 d)) (sqrt.f64 h))))
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Outputs
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #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 d (sqrt.f64 (*.f64 l h))))

soundness2.2s (12.5%)

Memory

20.1MiB live, 1 591.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	2128
1	1142	1977
2	4188	1955
0	8616	1902
0	147	635
1	413	593
2	1514	584
3	4190	568
4	7941	568
0	8163	552
0	91	438
0	156	414
1	463	390
2	3195	370
0	10379	370
0	325	1479
1	952	1403
2	3374	1384
3	7126	1372
0	8278	1338
0	77	394
0	129	384
1	426	360
2	2910	345
0	8332	345
0	77	345
0	126	322
1	390	305
2	2504	302
0	8439	300
0	22	72
0	38	68
1	124	67
2	836	67
0	8760	65

Stop Event

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

Compiler

Compiled 6 214 to 2 247 computations (63.8% saved)

preprocess246.0ms (1.4%)

Memory: -14.0MiB live, 260.7MiB allocated
Compiler: Compiled 5 940 to 1 366 computations (77% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze460.0ms (2.7%)

sample5.8s (33.8%)

explain526.0ms (3%)

preprocess179.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify189.0ms (1.1%)

localize104.0ms (0.6%)

series91.0ms (0.5%)

simplify187.0ms (1.1%)

rewrite263.0ms (1.5%)

eval114.0ms (0.7%)

prune81.0ms (0.5%)

simplify412.0ms (2.4%)

localize271.0ms (1.6%)

series198.0ms (1.1%)

simplify175.0ms (1%)

rewrite276.0ms (1.6%)

eval231.0ms (1.3%)

prune150.0ms (0.9%)

simplify162.0ms (0.9%)

localize255.0ms (1.5%)

series106.0ms (0.6%)

simplify126.0ms (0.7%)

rewrite254.0ms (1.5%)

eval153.0ms (0.9%)

prune126.0ms (0.7%)

simplify117.0ms (0.7%)

localize237.0ms (1.4%)

series136.0ms (0.8%)

simplify176.0ms (1%)

rewrite181.0ms (1%)

eval171.0ms (1%)

prune155.0ms (0.9%)

regimes252.0ms (1.5%)

regimes63.0ms (0.4%)

regimes129.0ms (0.7%)

regimes63.0ms (0.4%)

regimes92.0ms (0.5%)

regimes29.0ms (0.2%)

regimes22.0ms (0.1%)

regimes21.0ms (0.1%)

regimes42.0ms (0.2%)

regimes50.0ms (0.3%)

regimes75.0ms (0.4%)

regimes43.0ms (0.2%)

regimes102.0ms (0.6%)

regimes11.0ms (0.1%)

regimes41.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch184.0ms (1.1%)

bsearch167.0ms (1%)

bsearch238.0ms (1.4%)

bsearch130.0ms (0.8%)

bsearch150.0ms (0.9%)

bsearch5.0ms (0%)

bsearch5.0ms (0%)

bsearch9.0ms (0.1%)

bsearch42.0ms (0.2%)

bsearch15.0ms (0.1%)

bsearch81.0ms (0.5%)

bsearch148.0ms (0.9%)

bsearch3.0ms (0%)

bsearch121.0ms (0.7%)

bsearch165.0ms (1%)

bsearch2.0ms (0%)

bsearch103.0ms (0.6%)

simplify118.0ms (0.7%)

soundness2.2s (12.5%)

preprocess246.0ms (1.4%)

end0.0ms (0%)

Profiling