Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze468.0ms (3%)

Memory

29.0MiB live, 619.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample6.4s (41%)

Memory

9.1MiB live, 6 538.9MiB allocated

Samples

3.0s	13 333×	0	invalid
1.8s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-div: 1.5s (38% of total)

ival-mult: 1.2s (30.1% of total)

ival-pow: 739.0ms (19.3% of total)

ival-pow2: 323.0ms (8.4% of total)

ival-sub: 109.0ms (2.8% of total)

exact: 23.0ms (0.6% of total)

ival-true: 19.0ms (0.5% of total)

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

Bogosity

explain371.0ms (2.4%)

Memory

28.2MiB live, 474.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
62	-	6	(-2.0141268063840372e-303 -1.4840337934422524e-21 -30617603495166.086 -2.2467515436004632e-57 2.5303093429122343e-162)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
55	-	2	(4.6027578386035925e-104 2.37390646138601e+214 1.355158787351731e-173 9.042075492687557e+47 7.771492608464004e-166)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
47	-	2	(-1.8970048182831705e+108 -5.1677133871190974e-198 -5.30744494592748e+121 -2.679103055005201e+233 5.932302919557876e-63)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
30	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
21	-	0	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d 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 l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	28	0
↳	`(/.f64 d l)`	overflow	28
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	27	0
↳	`(/.f64 d h)`	overflow	27
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	26	0
↳	`(/.f64 d h)`	underflow	26
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	14	0
↳	`(*.f64 M D)`	overflow	42
`*.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	26
↳	`(/.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	25
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	85
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	85
↳	`(/.f64 h l)`	overflow	28
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	85
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	85
↳	`(*.f64 M D)`	overflow	42
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	48
`*.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**	12	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**	10	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))))`	*nu**	6	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**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	85
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	85
↳	`(*.f64 M D)`	overflow	42
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	48
↳	`(/.f64 h l)`	underflow	30
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	85
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	85
↳	`(*.f64 M D)`	underflow	27
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	42
↳	`(/.f64 h l)`	overflow	28

Confusion

	Predicted +	Predicted -
+	79	8
-	34	135

Precision

0.6991150442477876

Recall

0.9080459770114943

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	79	0	8
-	34	0	135

Precision?

0.6991150442477876

Recall?

0.9080459770114943

Freqs

test

number	freq
0	143
1	71
2	28
3	12
4	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

127.0ms

512×

valid

Compiler

Compiled 501 to 92 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 36.0ms (40.4% of total)

ival-pow: 25.0ms (28% of total)

ival-div: 19.0ms (21.3% of total)

ival-pow2: 5.0ms (5.6% of total)

ival-sub: 3.0ms (3.4% of total)

ival-true: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

preprocess198.0ms (1.3%)

Memory

-11.8MiB live, 217.3MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

68.0%

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify137.0ms (0.9%)

Memory

26.4MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	182	126
3	1068	126
4	3452	126
5	6729	126
0	8398	124

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (0.5%)

Memory

-32.6MiB live, 172.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	7.268828420265615	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	10.900270533543983	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	12.772992739076301	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	13.798358634588773	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

61.0ms

256×

valid

Compiler

Compiled 310 to 46 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 17.0ms (39.9% of total)

ival-pow: 11.0ms (25.8% of total)

ival-div: 9.0ms (21.1% of total)

ival-pow2: 4.0ms (9.4% of total)

ival-sub: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series88.0ms (0.6%)

Memory

2.5MiB live, 79.6MiB allocated

Counts

6 → 32

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
37.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
10.0ms	D	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
6.0ms	l	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify186.0ms (1.2%)

Memory

21.9MiB live, 140.9MiB 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))

rewrite176.0ms (1.1%)

Memory

-24.7MiB live, 179.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 454

Calls

Call 1

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

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

eval53.0ms (0.3%)

Memory: 15.9MiB live, 90.5MiB allocated
Compiler: Compiled 20 228 to 1 521 computations (92.5% saved)

prune39.0ms (0.2%)

Memory

-13.3MiB live, 69.3MiB allocated

Pruning

33 alts after pruning (33 fresh and 0 done)

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

Accuracy

91.9%

Counts

477 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	49.8%	(fma.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	46.8%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
▶	42.9%	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	48.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) h)) (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	67.8%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	67.1%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	40.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	35.6%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	37.9%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	33.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	58.2%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	67.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	68.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
	68.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64)))
	67.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	54.3%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
	63.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (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)))
	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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) d) (.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
▶	72.2%	(.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))))))
	63.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) M) (.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M))))
	29.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
	68.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	39.3%	(.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))))
	36.3%	(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	20.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (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)))
	38.2%	#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 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	13.0%	#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)))
	13.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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))))))
▶	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 462 to 1 718 computations (30.2% saved)

simplify163.0ms (1%)

Memory

4.2MiB live, 155.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	618
0	139	607
1	245	595
2	604	580
3	2879	580
4	7406	580
0	8353	575

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

localize286.0ms (1.8%)

Memory

8.0MiB live, 330.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.332330312850498	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	3.405269599260306	(.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))))
accuracy	6.039507232268079	(.f64 (.f64 (/.f64 #s(literal 1 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	7.3195525520882745	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	2.724968706437557	(/.f64 (/.f64 d l) h)
accuracy	3.6588379320447624	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l))
accuracy	9.012624184740229	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
accuracy	9.698855333935644	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy	2.401625740261204	(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D))
accuracy	4.12931102866568	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	6.051161904732628	(sqrt.f64 (/.f64 d h))
accuracy	7.3195525520882745	(sqrt.f64 (/.f64 d l))
accuracy	0.12109375	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.2724340395112377	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	7.5687009943903245	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	31.61134563718232	#s(approx (* (* (pow (/ d h) (/ 1 2)) (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	3.549736073309628	(/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l)
accuracy	4.591345108390644	(/.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	6.051161904732628	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.3195525520882745	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

78.0ms	135×	0	valid
64.0ms	121×	0	invalid

Compiler

Compiled 1 305 to 153 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 39.0ms (36.8% of total)

ival-div: 23.0ms (21.7% of total)

ival-pow: 19.0ms (17.9% of total)

ival-sqrt: 9.0ms (8.5% of total)

ival-add: 7.0ms (6.6% of total)

ival-pow2: 3.0ms (2.8% of total)

ival-sub: 2.0ms (1.9% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series150.0ms (1%)

Memory

13.5MiB live, 245.1MiB allocated

Counts

26 → 65

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	D	@	inf	((/ 1 2) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (* 1/2 (* D 1/2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (* (/ D d) M) 1/2) l) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (/ (/ d l) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
14.0ms	d	@	0	((/ 1 2) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (* 1/2 (* D 1/2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (* (/ D d) M) 1/2) l) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (/ (/ d l) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
13.0ms	h	@	-inf	((/ 1 2) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (* 1/2 (* D 1/2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (* (/ D d) M) 1/2) l) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (/ (/ d l) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
13.0ms	d	@	inf	((/ 1 2) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (* 1/2 (* D 1/2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (* (/ D d) M) 1/2) l) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (/ (/ d l) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
12.0ms	d	@	-inf	((/ 1 2) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (* 1/2 (* D 1/2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (* (/ D d) M) 1/2) l) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (/ (/ d l) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))

simplify153.0ms (1%)

Memory

8.3MiB live, 162.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	1199
1	735	1121
2	2564	1108
3	6118	1102
0	8751	1070

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 65

Calls

Call 1

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

rewrite195.0ms (1.2%)

Memory

4.2MiB live, 244.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	312
0	130	302
1	382	285
2	2503	273
0	8195	273

Stop Event

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

Counts

26 → 1 303

Calls

Call 1

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

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

eval199.0ms (1.3%)

Memory: 12.5MiB live, 357.2MiB allocated
Compiler: Compiled 52 893 to 5 016 computations (90.5% saved)

prune140.0ms (0.9%)

Memory

-1.9MiB live, 157.8MiB allocated

Pruning

52 alts after pruning (51 fresh and 1 done)

	Pruned	Kept	Total
New	1 279	39	1 318
Fresh	16	12	28
Picked	4	1	5
Done	0	0	0
Total	1 299	52	1 351

Accuracy

93.1%

Counts

1 351 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.5%	(fma.f64 (/.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) h) l) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	45.2%	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	21.5%	(fma.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (pow.f64 (/.f64 d M) #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -2 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	25.6%	(fma.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.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) (/.f64 d (sqrt.f64 (*.f64 l h))))
	46.8%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	31.1%	(/.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 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
▶	37.9%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	33.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	33.0%	(/.f64 (.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 d)) (sqrt.f64 l))
	33.3%	(.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))))
▶	58.2%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	40.1%	(.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)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l)))
	68.3%	(.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 l h)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.5%	(.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 h))) (sqrt.f64 (/.f64 d l)))
▶	70.5%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 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 d l)))
	68.4%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d D) (/.f64 #s(literal 2 binary64) M)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.1%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D))) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	54.3%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
	63.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (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)))
	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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) d) (.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	69.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) h) d))))
	69.2%	(.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 M (*.f64 #s(literal 1/4 binary64) D)) (/.f64 d h)))))
	41.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.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))))))
	37.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 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))))))
	37.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d))) (-.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))))))
	38.8%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.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))))
	68.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	56.3%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 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 d l)))
	29.2%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	25.4%	#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	20.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (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)))
	38.2%	#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 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	13.0%	#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)))
	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 d (sqrt.f64 l)) (sqrt.f64 h)))
	22.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (neg.f64 (sqrt.f64 (neg.f64 d)))) (neg.f64 (sqrt.f64 (neg.f64 h)))))
▶	21.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (.f64 l (/.f64 h d)))))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
▶	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	13.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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))))))
	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 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 l h)) #s(literal -2 binary64))) d))
	20.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (sqrt.f64 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 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 l))) d))
	40.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
✓	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	19.9%	#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 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) l) h))))
	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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	35.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	43.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))

Compiler

Compiled 4 042 to 2 776 computations (31.3% saved)

simplify115.0ms (0.7%)

Memory

0.6MiB live, 128.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	522
0	113	502
1	198	502
2	456	499
3	2088	499
4	4609	499
0	8371	494

Stop Event

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

Calls

Call 1

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

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

localize203.0ms (1.3%)

Memory

2.7MiB live, 353.8MiB allocated

Localize:

Found 20 expressions of interest:

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

Samples

148.0ms

256×

invalid

Compiler

Compiled 1 060 to 139 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 37.0ms (33.1% of total)

ival-div: 23.0ms (20.5% of total)

ival-pow: 19.0ms (17% of total)

ival-sqrt: 18.0ms (16.1% of total)

ival-pow2: 5.0ms (4.5% of total)

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

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

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series106.0ms (0.7%)

Memory

16.5MiB live, 174.8MiB allocated

Counts

31 → 80

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	d	@	0	((+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) (* (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ 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) (* (sqrt d) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) 1) (sqrt (* l (/ h d)))) (sqrt d) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (sqrt (* l (/ h d))) (* l (/ h d)) (sqrt (* (/ (/ d l) h) d)) (* (/ d M) (/ 2 D)) (* (/ (/ d l) h) d) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)))
8.0ms	h	@	0	((+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) (* (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ 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) (* (sqrt d) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) 1) (sqrt (* l (/ h d)))) (sqrt d) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (sqrt (* l (/ h d))) (* l (/ h d)) (sqrt (* (/ (/ d l) h) d)) (* (/ d M) (/ 2 D)) (* (/ (/ d l) h) d) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)))
7.0ms	h	@	-inf	((+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) (* (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ 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) (* (sqrt d) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) 1) (sqrt (* l (/ h d)))) (sqrt d) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (sqrt (* l (/ h d))) (* l (/ h d)) (sqrt (* (/ (/ d l) h) d)) (* (/ d M) (/ 2 D)) (* (/ (/ d l) h) d) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)))
7.0ms	M	@	inf	((+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) (* (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ 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) (* (sqrt d) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) 1) (sqrt (* l (/ h d)))) (sqrt d) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (sqrt (* l (/ h d))) (* l (/ h d)) (sqrt (* (/ (/ d l) h) d)) (* (/ d M) (/ 2 D)) (* (/ (/ d l) h) d) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)))
7.0ms	d	@	-inf	((+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) (* (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ 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) (* (sqrt d) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) 1) (sqrt (* l (/ h d)))) (sqrt d) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (sqrt (* l (/ h d))) (* l (/ h d)) (sqrt (* (/ (/ d l) h) d)) (* (/ d M) (/ 2 D)) (* (/ (/ d l) h) d) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)))

simplify170.0ms (1.1%)

Memory

-12.2MiB live, 231.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	1489
1	948	1426
2	3476	1411
3	6535	1403
0	8064	1367

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 80

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

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

rewrite232.0ms (1.5%)

Memory

-15.4MiB live, 300.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	375
0	113	337
1	356	329
2	2222	313
0	8962	303

Stop Event

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

Counts

31 → 1 833

Calls

Call 1

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

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

eval280.0ms (1.8%)

Memory: 7.3MiB live, 261.9MiB allocated
Compiler: Compiled 46 663 to 4 537 computations (90.3% saved)

prune203.0ms (1.3%)

Memory

-15.7MiB live, 183.9MiB allocated

Pruning

61 alts after pruning (59 fresh and 2 done)

	Pruned	Kept	Total
New	1 251	26	1 277
Fresh	13	33	46
Picked	4	1	5
Done	0	1	1
Total	1 268	61	1 329

Accuracy

94.9%

Counts

1 329 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.5%	(fma.f64 (/.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) h) l) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	30.3%	(fma.f64 (/.f64 (.f64 h (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)))) l) (/.f64 d (sqrt.f64 (.f64 l h))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	45.2%	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	21.5%	(fma.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (pow.f64 (/.f64 d M) #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -2 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	25.6%	(fma.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.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) (/.f64 d (sqrt.f64 (*.f64 l h))))
	31.1%	(/.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 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
	34.6%	(/.f64 (.f64 (/.f64 d (sqrt.f64 h)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64))) (sqrt.f64 l))
	37.6%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	33.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	33.3%	(.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	58.3%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	37.4%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(approx (sqrt ( (/ (/ d l) h) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
▶	58.3%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 d (/.f64 #s(literal 2 binary64) (.f64 M D))) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	40.1%	(.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)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l)))
▶	64.0%	(.f64 (+.f64 (.f64 (/.f64 (.f64 h (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)))) l) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	72.7%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (/.f64 D d)) l) (/.f64 (.f64 (*.f64 M (/.f64 D d)) #s(literal -1/8 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.0%	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	68.5%	(.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 h))) (sqrt.f64 (/.f64 d l)))
	36.6%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) h) (pow.f64 l #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
	40.8%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) h) (pow.f64 l #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (*.f64 (/.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64)))))
	39.1%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) h) (pow.f64 l #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (neg.f64 l)) #s(literal 1/2 binary64)))))
	68.4%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d D) (/.f64 #s(literal 2 binary64) M)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.1%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D))) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	54.3%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
	63.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (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)))
	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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) d) (.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	69.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) h) d))))
	41.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.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))))))
	37.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 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))))))
	37.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d))) (-.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))))))
	38.8%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.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))))
	70.5%	(.f64 (.f64 (+.f64 (/.f64 (.f64 h (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	56.5%	(.f64 (.f64 #s(approx (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 D D) l) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	40.2%	(.f64 (.f64 #s(approx (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) l)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	28.4%	(.f64 (.f64 #s(approx (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 D D) l) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	29.2%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	40.7%	(.f64 #s(approx ( (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	25.4%	#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	18.3%	#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 0 binary64) (neg.f64 (sqrt.f64 (.f64 l h)))) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
	22.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (neg.f64 (sqrt.f64 (neg.f64 d)))) (neg.f64 (sqrt.f64 (neg.f64 h)))))
	4.2%	#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 d) #s(literal 1 binary64)) #s(approx (sqrt ( l (/ h d))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 l h) d))))))
▶	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
	2.0%	#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 (neg.f64 d)) (sqrt.f64 (*.f64 l (/.f64 h d)))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	1.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
	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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	13.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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))))))
	20.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (sqrt.f64 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 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 l))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	19.9%	#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 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) l) h))))
	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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	35.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
▶	43.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
	39.2%	#s(approx (* (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))

Compiler

Compiled 4 602 to 3 202 computations (30.4% saved)

simplify196.0ms (1.3%)

Memory

0.5MiB live, 156.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	515
0	115	515
1	207	488
2	524	488
3	2280	488
4	4375	488
5	7887	488
0	8105	481

Stop Event

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

Calls

Call 1

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

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

localize366.0ms (2.3%)

Memory

-7.5MiB live, 240.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.7995015435546753	(.f64 (/.f64 (.f64 h (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)))) l) (sqrt.f64 (/.f64 d h)))
accuracy	3.2952136445978124	(/.f64 (.f64 h (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)))) l)
accuracy	6.051161904732628	(sqrt.f64 (/.f64 d h))
accuracy	7.3195525520882745	(sqrt.f64 (/.f64 d l))
accuracy	3.1019344661176147	(.f64 d (/.f64 #s(literal 2 binary64) (.f64 M D)))
accuracy	3.405269599260306	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 d (/.f64 #s(literal 2 binary64) (.f64 M D))) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
accuracy	4.12931102866568	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D))) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	9.698855333935644	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy	0.06640625	(*.f64 (/.f64 (neg.f64 d) l) d)
accuracy	1.5637293238401009	(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h)))
accuracy	10.700944788132203	(sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d))
accuracy	17.52273919424939	#s(approx (* (* (pow (/ 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))))
accuracy	0.0	(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	0.12890625	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	7.393903095272698	(sqrt.f64 (*.f64 l h))
accuracy	17.52273919424939	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
accuracy	3.553383509075912	(/.f64 (*.f64 M (/.f64 D d)) l)
accuracy	4.592869966052473	(/.f64 (.f64 (.f64 M (/.f64 D d)) #s(literal -1/8 binary64)) (pow.f64 h #s(literal -1 binary64)))
accuracy	6.051161904732628	(sqrt.f64 (/.f64 d h))
accuracy	7.3195525520882745	(sqrt.f64 (/.f64 d l))

Samples

150.0ms	135×	0	valid
97.0ms	121×	0	invalid

Compiler

Compiled 1 041 to 140 computations (86.6% saved)

Precisions

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

ival-mult: 88.0ms (46% of total)

ival-div: 61.0ms (31.9% of total)

ival-pow: 19.0ms (9.9% of total)

ival-sqrt: 10.0ms (5.2% of total)

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

ival-add: 4.0ms (2.1% of total)

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

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

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

exact: 1.0ms (0.5% of total)

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

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

series190.0ms (1.2%)

Memory

16.4MiB live, 138.7MiB allocated

Counts

25 → 60

Calls

Call 1

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

Calls

15 calls:

Time	Variable		Point	Expression
50.0ms	M	@	0	((+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (/ (* (* M (/ D d)) -1/8) (pow h -1)) (* (* (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ (neg d) l) d)) (sqrt (neg h))) (sqrt (* (/ (neg d) l) d)) (* (/ (neg d) l) d) (* (+ (* (* -1/2 (/ h l)) (pow (* d (/ 2 (* M D))) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* d (/ 2 (* M D))) -2)) 1) (* -1/2 (/ h l)) (/ h l) (+ (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (sqrt (/ d h))) (* (+ (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (sqrt (/ d h))) (sqrt (/ d l))) (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* M (/ D d)) l) (sqrt (* (/ (/ d l) h) d)) (* d (/ 2 (* M D))))
33.0ms	h	@	inf	((+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (/ (* (* M (/ D d)) -1/8) (pow h -1)) (* (* (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ (neg d) l) d)) (sqrt (neg h))) (sqrt (* (/ (neg d) l) d)) (* (/ (neg d) l) d) (* (+ (* (* -1/2 (/ h l)) (pow (* d (/ 2 (* M D))) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* d (/ 2 (* M D))) -2)) 1) (* -1/2 (/ h l)) (/ h l) (+ (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (sqrt (/ d h))) (* (+ (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (sqrt (/ d h))) (sqrt (/ d l))) (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* M (/ D d)) l) (sqrt (* (/ (/ d l) h) d)) (* d (/ 2 (* M D))))
25.0ms	d	@	-inf	((+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (/ (* (* M (/ D d)) -1/8) (pow h -1)) (* (* (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ (neg d) l) d)) (sqrt (neg h))) (sqrt (* (/ (neg d) l) d)) (* (/ (neg d) l) d) (* (+ (* (* -1/2 (/ h l)) (pow (* d (/ 2 (* M D))) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* d (/ 2 (* M D))) -2)) 1) (* -1/2 (/ h l)) (/ h l) (+ (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (sqrt (/ d h))) (* (+ (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (sqrt (/ d h))) (sqrt (/ d l))) (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* M (/ D d)) l) (sqrt (* (/ (/ d l) h) d)) (* d (/ 2 (* M D))))
8.0ms	d	@	0	((+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (/ (* (* M (/ D d)) -1/8) (pow h -1)) (* (* (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ (neg d) l) d)) (sqrt (neg h))) (sqrt (* (/ (neg d) l) d)) (* (/ (neg d) l) d) (* (+ (* (* -1/2 (/ h l)) (pow (* d (/ 2 (* M D))) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* d (/ 2 (* M D))) -2)) 1) (* -1/2 (/ h l)) (/ h l) (+ (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (sqrt (/ d h))) (* (+ (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (sqrt (/ d h))) (sqrt (/ d l))) (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* M (/ D d)) l) (sqrt (* (/ (/ d l) h) d)) (* d (/ 2 (* M D))))
7.0ms	l	@	-inf	((+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (/ (* (* M (/ D d)) -1/8) (pow h -1)) (* (* (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ (neg d) l) d)) (sqrt (neg h))) (sqrt (* (/ (neg d) l) d)) (* (/ (neg d) l) d) (* (+ (* (* -1/2 (/ h l)) (pow (* d (/ 2 (* M D))) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* d (/ 2 (* M D))) -2)) 1) (* -1/2 (/ h l)) (/ h l) (+ (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (sqrt (/ d h))) (* (+ (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (sqrt (/ d h))) (sqrt (/ d l))) (* (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d h))) (/ (* h (* -1/8 (pow (* M (/ D d)) 2))) l) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* M (/ D d)) l) (sqrt (* (/ (/ d l) h) d)) (* d (/ 2 (* M D))))

simplify217.0ms (1.4%)

Memory

-24.1MiB live, 169.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	266	1173
1	767	1108
2	2718	1096
3	6061	1087
0	8548	1059

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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

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

rewrite245.0ms (1.6%)

Memory

37.7MiB live, 264.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	366
0	115	358
1	388	323
2	2830	309
0	10383	304

Stop Event

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

Counts

25 → 1 064

Calls

Call 1

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

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

eval232.0ms (1.5%)

Memory: -14.8MiB live, 196.7MiB allocated
Compiler: Compiled 34 021 to 3 158 computations (90.7% saved)

prune181.0ms (1.2%)

Memory

2.1MiB live, 202.0MiB allocated

Pruning

61 alts after pruning (58 fresh and 3 done)

	Pruned	Kept	Total
New	879	25	904
Fresh	21	33	54
Picked	4	1	5
Done	0	2	2
Total	904	61	965

Accuracy

95.2%

Counts

965 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.5%	(fma.f64 (/.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) h) l) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	21.5%	(fma.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (pow.f64 (/.f64 d M) #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -2 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	25.6%	(fma.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.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) (/.f64 d (sqrt.f64 (*.f64 l h))))
	31.1%	(/.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 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
	34.6%	(/.f64 (.f64 (/.f64 d (sqrt.f64 h)) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64))) (sqrt.f64 l))
	37.6%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	33.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	36.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal -1/8 binary64)) l) h #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	46.4%	(.f64 (fma.f64 (pow.f64 d #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 D M)) #s(literal -2 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	37.0%	(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal -1/8 binary64)) l) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
	58.4%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	62.6%	(.f64 (fma.f64 (.f64 (.f64 h (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 d h)) l) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	37.4%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(approx (sqrt ( (/ (/ d l) h) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	40.1%	(.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)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l)))
	64.2%	(.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 h (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 d h))) l) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	66.7%	(.f64 (+.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 (/.f64 D d) M) l) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 D d) M))) (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	38.8%	(.f64 (+.f64 (.f64 (/.f64 (.f64 h (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)))) l) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	72.2%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal -1/8 binary64)) l) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	42.4%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (/.f64 D d)) l) (/.f64 (.f64 (*.f64 M (/.f64 D d)) #s(literal -1/8 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	38.4%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (/.f64 D d)) l) (/.f64 (.f64 (*.f64 M (/.f64 D d)) #s(literal -1/8 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
	71.4%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (/.f64 D d)) l) (/.f64 (.f64 (*.f64 M (/.f64 D d)) #s(literal -1/8 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
	38.3%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (/.f64 D d)) l) (/.f64 (.f64 (.f64 M (/.f64 D d)) #s(literal -1/8 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d)))
	69.4%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (/.f64 D d)) l) (/.f64 (.f64 (.f64 D M) (.f64 h #s(literal -1/8 binary64))) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	71.5%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (/.f64 D d)) l) (.f64 (/.f64 D d) (.f64 M (.f64 h #s(literal -1/8 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	71.1%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (/.f64 D d)) l) (.f64 M (.f64 (/.f64 D d) (.f64 h #s(literal -1/8 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	67.7%	(.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 D M)) d) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	40.8%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) h) (pow.f64 l #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (*.f64 (/.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64)))))
	68.4%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d D) (/.f64 #s(literal 2 binary64) M)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	70.9%	(.f64 (.f64 (fma.f64 M (.f64 (/.f64 (/.f64 D d) l) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 D d) M)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	63.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (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)))
	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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) d) (.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	37.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d))) (-.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))))))
	40.2%	(.f64 (.f64 #s(approx (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 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)))
	29.7%	(.f64 (.f64 #s(approx (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	28.4%	(.f64 (.f64 #s(approx (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 D D) l) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	29.2%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	10.2%	(.f64 #s(approx ( (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 d l)))
	40.7%	(.f64 #s(approx ( (+ (* (/ (* M (/ D d)) l) (/ (* (* M (/ D d)) -1/8) (pow h -1))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	25.4%	#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ d M) (/ 2 D)) -2))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	3.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	18.3%	#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 0 binary64) (neg.f64 (sqrt.f64 (.f64 l h)))) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
	4.2%	#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 d) #s(literal 1 binary64)) #s(approx (sqrt ( l (/ h d))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 l h) d))))))
	2.0%	#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 (neg.f64 d)) (sqrt.f64 (*.f64 l (/.f64 h d)))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	1.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
	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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	13.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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))))))
	20.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (sqrt.f64 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 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 l))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) 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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	35.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	23.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
	17.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 d) l) d))) (sqrt.f64 (neg.f64 (neg.f64 h))))))
✓	43.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
	39.2%	#s(approx (* (* (+ (* (* (* (* (pow (* (/ D d) M) 2) 1/4) -1/2) h) (pow l -1)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))

Compiler

Compiled 6 903 to 2 193 computations (68.2% saved)

regimes284.0ms (1.8%)

Memory

-2.3MiB live, 475.9MiB allocated

Counts

124 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

77.0ms	(*.f64 M D)
37.0ms	M
35.0ms	d
34.0ms	D
33.0ms	h

Results

Accuracy	Segments	Branch
80.8%	2	`d`
83.0%	3	`h`
80.8%	2	`l`
75.5%	2	`M`
72.7%	1	`D`
78.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
72.7%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes128.0ms (0.8%)

Memory

20.0MiB live, 177.4MiB allocated

Counts

94 → 3

Calls

Call 1

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

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

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

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

Calls

3 calls:

43.0ms	l
26.0ms	d
26.0ms	h

Results

Accuracy	Segments	Branch
78.5%	2	`d`
80.3%	3	`l`
80.7%	3	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes57.0ms (0.4%)

Memory

-5.2MiB live, 115.9MiB allocated

Counts

90 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

25.0ms	l
25.0ms	h

Results

Accuracy	Segments	Branch
78.5%	2	`l`
78.5%	2	`h`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes142.0ms (0.9%)

Memory

-10.1MiB live, 188.1MiB allocated

Counts

89 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

40.0ms	l
39.0ms	h
35.0ms	d
23.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
78.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
78.5%	3	`d`
76.7%	2	`l`
76.7%	2	`h`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes29.0ms (0.2%)

Memory

-7.9MiB live, 67.6MiB allocated

Counts

87 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

22.0ms

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

Results

Accuracy	Segments	Branch
77.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes16.0ms (0.1%)

Memory

-9.8MiB live, 37.2MiB allocated

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
77.6%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes25.0ms (0.2%)

Memory

7.7MiB live, 85.1MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

14.0ms

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
73.7%	2	`d`
76.9%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes147.0ms (0.9%)

Memory

20.5MiB live, 59.4MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

126.0ms

10.0ms

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
73.0%	2	`h`
72.7%	2	`l`
76.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes19.0ms (0.1%)

Memory

-21.8MiB live, 21.8MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

17.0ms

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

Results

Accuracy	Segments	Branch
76.2%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes71.0ms (0.5%)

Memory

25.6MiB live, 137.4MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

12.0ms	M
11.0ms	D
11.0ms	h
9.0ms	d
9.0ms	l

Results

Accuracy	Segments	Branch
61.9%	3	`l`
60.8%	3	`h`
62.8%	3	`d`
58.2%	2	`D`
64.8%	2	`(*.f64 M D)`
68.3%	2	`M`
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))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes12.0ms (0.1%)

Memory

-26.4MiB live, 18.2MiB allocated

Counts

32 → 3

Calls

Call 1

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

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

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
72.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes54.0ms (0.3%)

Memory

19.0MiB live, 96.6MiB allocated

Counts

27 → 3

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
43.1%	1	`D`
48.3%	2	`h`
48.3%	2	`l`
51.8%	4	`d`
45.4%	2	`(*.f64 M D)`
45.7%	2	`M`
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))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes18.0ms (0.1%)

Memory

-3.8MiB live, 35.1MiB allocated

Counts

13 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
46.8%	2	`l`
46.3%	2	`h`
47.2%	2	`d`
51.0%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes4.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
43.1%	1	`d`
46.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-25.3MiB live, 20.2MiB 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:

5.0ms	l
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	h
1.0ms	d
1.0ms	M

Results

Accuracy	Segments	Branch
27.3%	1	`D`
27.3%	1	`d`
27.3%	1	`(*.f64 M D)`
27.3%	1	`M`
27.3%	1	`h`
27.3%	1	`l`
27.3%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch163.0ms (1%)

Memory

-2.4MiB live, 147.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
89.0ms	-6.000787872342923e-307	2.8999577517250552e-304
55.0ms	-7.447530799529269e-236	-1.1940038783959975e-238

Samples

49.0ms	272×	0	valid
37.0ms	252×	0	invalid

Compiler

Compiled 1 074 to 879 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 18.0ms (29.4% of total)

ival-mult: 17.0ms (27.7% of total)

ival-pow: 17.0ms (27.7% of total)

ival-pow2: 5.0ms (8.2% of total)

ival-sub: 3.0ms (4.9% of total)

exact: 1.0ms (1.6% of total)

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

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

bsearch90.0ms (0.6%)

Memory

23.6MiB live, 94.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-6.000787872342923e-307	2.8999577517250552e-304
81.0ms	-1.3010146929225433e-170	-3.266681520351762e-188

Samples

39.0ms	160×	0	invalid
30.0ms	160×	0	valid

Compiler

Compiled 1 178 to 971 computations (17.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 11.0ms (29.5% of total)

ival-mult: 11.0ms (29.5% of total)

ival-pow: 10.0ms (26.8% of total)

ival-pow2: 3.0ms (8% of total)

ival-sub: 2.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-6.000787872342923e-307	2.8999577517250552e-304

Compiler

Compiled 578 to 471 computations (18.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.787767995441836e+270	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.787767995441836e+270	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.787767995441836e+270	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.787767995441836e+270	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.787767995441836e+270	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.787767995441836e+270	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.787767995441836e+270	+inf
0.0ms	-5.784948687177868e-15	-1.568654147740749e-27

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.787767995441836e+270	+inf
0.0ms	-5.784948687177868e-15	-1.568654147740749e-27

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.787767995441836e+270	+inf
0.0ms	0.0	4.733979152545443e-271

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.0516365882706456e+135	1.1791783818769213e+138
0.0ms	1.1795255760019668e-161	1.4526646176118712e-147
0.0ms	-4.0959008400251555e-220	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.0959008400251555e-220	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.0959008400251555e-220	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify84.0ms (0.5%)

Memory

-0.6MiB live, 82.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	1925
1	262	1925
2	428	1925
3	1401	1925
4	4171	1925
5	7948	1925

Stop Event

1×	node limit

Calls

Call 1

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

soundness1.7s (10.7%)

Memory

-5.7MiB live, 983.3MiB allocated

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
0	71	366
0	115	358
1	388	323
2	2830	309
0	10383	304
0	70	375
0	113	337
1	356	329
2	2222	313
0	8962	303
0	22	72
0	38	68
1	124	67
2	836	67
0	8769	65
0	259	1199
1	735	1121
2	2564	1108
3	6118	1102
0	8751	1070
0	77	312
0	130	302
1	382	285
2	2503	273
0	8195	273

Stop Event

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

Compiler

Compiled 4 272 to 1 672 computations (60.9% saved)

preprocess156.0ms (1%)

Memory: 28.8MiB live, 254.5MiB allocated
Remove: (abs D)
Compiler: Compiled 5 266 to 960 computations (81.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze468.0ms (3%)

sample6.4s (41%)

explain371.0ms (2.4%)

preprocess198.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify137.0ms (0.9%)

localize81.0ms (0.5%)

series88.0ms (0.6%)

simplify186.0ms (1.2%)

rewrite176.0ms (1.1%)

eval53.0ms (0.3%)

prune39.0ms (0.2%)

simplify163.0ms (1%)

localize286.0ms (1.8%)

series150.0ms (1%)

simplify153.0ms (1%)

rewrite195.0ms (1.2%)

eval199.0ms (1.3%)

prune140.0ms (0.9%)

simplify115.0ms (0.7%)

localize203.0ms (1.3%)

series106.0ms (0.7%)

simplify170.0ms (1.1%)

rewrite232.0ms (1.5%)

eval280.0ms (1.8%)

prune203.0ms (1.3%)

simplify196.0ms (1.3%)

localize366.0ms (2.3%)

series190.0ms (1.2%)

simplify217.0ms (1.4%)

rewrite245.0ms (1.6%)

eval232.0ms (1.5%)

prune181.0ms (1.2%)

regimes284.0ms (1.8%)

regimes128.0ms (0.8%)

regimes57.0ms (0.4%)

regimes142.0ms (0.9%)

regimes29.0ms (0.2%)

regimes16.0ms (0.1%)

regimes25.0ms (0.2%)

regimes147.0ms (0.9%)

regimes19.0ms (0.1%)

regimes71.0ms (0.5%)

regimes12.0ms (0.1%)

regimes54.0ms (0.3%)

regimes18.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes12.0ms (0.1%)

bsearch163.0ms (1%)

bsearch90.0ms (0.6%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify84.0ms (0.5%)

soundness1.7s (10.7%)

preprocess156.0ms (1%)

end0.0ms (0%)

Profiling