Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze445.0ms (2.8%)

Memory

-9.2MiB live, 505.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample6.2s (39.1%)

Memory

-5.5MiB live, 6 718.9MiB allocated

Samples

3.3s	12 823×	0	invalid
1.6s	8 256×	0	valid

Precisions

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

ival-div: 1.3s (35.3% of total)

ival-mult: 927.0ms (24.6% of total)

ival-pow2: 649.0ms (17.2% of total)

ival-pow: 642.0ms (17.1% of total)

ival-sub: 168.0ms (4.5% of total)

exact: 21.0ms (0.6% of total)

ival-true: 18.0ms (0.5% of total)

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

Bogosity

explain554.0ms (3.5%)

Memory

14.4MiB live, 328.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
77	-	4	(-9.87562522607429e-296 -1.7295565754436447e+22 -1.2508933673490246e-144 -3.356210043570603e-123 1.6263131628741754e-170)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
67	-	3	(8.702439857134676e-151 6.087442307364695e+102 1.843478481334524e+168 2.8826049953415036e+60 -8.172526674776541e+201)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
50	-	1	(-4.8441163743948985e-120 -9.40610412492686e-7 -5.179607624137911e-191 -2.0361472836283066e-28 -1.7239918520113793e-251)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
27	-	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))))`
13	-	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)))`	oflow-rescue	40	0
↳	`(/.f64 d l)`	overflow	40
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	37	0
↳	`(/.f64 d h)`	underflow	37
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	36	0
↳	`(/.f64 d h)`	overflow	36
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	24	0
↳	`(/.f64 d l)`	underflow	24
`*.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**	16	0
↳	`(/.f64 d h)`	underflow	37
↳	`(/.f64 d l)`	underflow	24
↳	`(*.f64 (pow.f64 (/.f64 d 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	22
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	72
↳	`(.f64 (/.f64 #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	72
↳	`(/.f64 h l)`	overflow	37
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	77
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	77
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	43
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	8	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	8	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	6	0
↳	`(*.f64 M D)`	overflow	33
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	72
↳	`(.f64 (/.f64 #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	72
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	43
↳	`(/.f64 h l)`	underflow	30
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	3	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	2	0
↳	`(*.f64 M D)`	underflow	24
`*.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))`	*nu**	1	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	96
↳	`(.f64 (/.f64 #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	96
↳	`(*.f64 M D)`	underflow	24
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	48
↳	`(/.f64 h l)`	overflow	37

Confusion

	Predicted +	Predicted -
+	80	9
-	46	121

Precision

0.6349206349206349

Recall

0.898876404494382

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	80	0	9
-	46	0	121

Precision?

0.6349206349206349

Recall?

0.898876404494382

Freqs

test

number	freq
0	130
1	76
2	39
3	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

201.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-pow: 52.0ms (43% of total)

ival-div: 43.0ms (35.6% of total)

ival-mult: 17.0ms (14.1% of total)

ival-pow2: 5.0ms (4.1% of total)

ival-sub: 2.0ms (1.7% of total)

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

exact: 1.0ms (0.8% of total)

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

preprocess215.0ms (1.4%)

Memory

18.3MiB live, 131.4MiB 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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.2%	(.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))))

Status

Accuracy

Program

▶

66.2%

(*.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)

simplify162.0ms (1%)

Memory

-12.2MiB live, 107.0MiB 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)

localize64.0ms (0.4%)

Memory

22.2MiB live, 60.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	6.616047871600243	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	11.761580288564513	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	15.52448412478524	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	17.67353381863247	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

51.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

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

ival-pow: 10.0ms (26.4% of total)

ival-div: 9.0ms (23.7% of total)

ival-pow2: 9.0ms (23.7% of total)

ival-mult: 8.0ms (21.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series108.0ms (0.7%)

Memory

-39.1MiB live, 41.6MiB 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
19.0ms	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)))))
18.0ms	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	@	-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)))))
3.0ms	h	@	-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)))))

simplify131.0ms (0.8%)

Memory

7.4MiB live, 124.7MiB 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))

rewrite156.0ms (1%)

Memory

1.7MiB live, 194.4MiB 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)))
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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)))))

eval61.0ms (0.4%)

Memory: 6.4MiB live, 126.0MiB allocated
Compiler: Compiled 20 228 to 1 521 computations (92.5% saved)

prune31.0ms (0.2%)

Memory

29.6MiB live, 68.2MiB allocated

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	449	27	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	450	27	477

Accuracy

92.2%

Counts

477 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.7%	(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)))
	41.9%	(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)))
	66.1%	(/.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 l))) (sqrt.f64 (/.f64 h d)))
	66.3%	(/.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 l d)))
	37.4%	(/.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)))
	38.9%	(/.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 l))) (sqrt.f64 d)) (sqrt.f64 h))
	35.5%	(/.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)))
▶	36.4%	(/.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))
	57.2%	(.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)))
	66.6%	(.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)))
	66.6%	(.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)))
▶	70.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
	70.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	70.6%	(.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 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	62.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
▶	20.4%	(.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)))) #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))))
	66.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.5%	(.f64 (.f64 (/.f64 (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))))
	38.1%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.4%	(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
	39.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
▶	14.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	15.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 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))
	12.1%	#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 (.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)))))))
	15.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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))))))
▶	31.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 042 to 1 438 computations (29.6% saved)

simplify120.0ms (0.8%)

Memory

0.5MiB live, 187.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (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))))
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))
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 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 d)) (sqrt.f64 l))
cost-diff	0	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
cost-diff	0	(/.f64 #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 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 -1/2 binary64) (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	79	683
0	131	669
1	238	661
2	591	661
3	2404	661
4	4785	661
0	8267	657

Stop Event

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

Calls

Call 1

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

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

localize272.0ms (1.7%)

Memory

-30.3MiB live, 422.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	8.033776621922494	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	9.026601237677639	(.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))
accuracy	10.036421709786575	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	18.887016733945234	#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)))
accuracy	1.4521804041019704	(.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)))
accuracy	2.9023878379200387	(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D))
accuracy	3.8864626041812214	(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	10.040327959786575	(sqrt.f64 (/.f64 d h))
accuracy	7.086928830681634	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
accuracy	7.767058608553342	(sqrt.f64 (*.f64 l h))
accuracy	9.659075252270144	(sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h))
accuracy	11.135246720116854	(/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))
accuracy	0.0859375	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.3349505814513478	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	8.117242161845247	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	13.796040412174753	#s(approx (* (* (pow (/ d h) (/ 1 2)) (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	3.0793781110534075	(/.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l)
accuracy	3.6966297723852084	(.f64 (.f64 (pow.f64 (/.f64 d 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 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
accuracy	8.033776621922494	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	10.036421709786575	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

118.0ms	133×	0	valid
86.0ms	123×	0	invalid

Compiler

Compiled 663 to 72 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult: 71.0ms (45.6% of total)

ival-pow: 34.0ms (21.8% of total)

ival-div: 29.0ms (18.6% of total)

ival-sqrt: 14.0ms (9% of total)

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

ival-pow2: 2.0ms (1.3% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series121.0ms (0.8%)

Memory

14.1MiB live, 210.0MiB allocated

Counts

25 → 92

Calls

Call 1

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

Outputs
(sqrt (/ d h))
(sqrt (/ d l))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* h l)))) (* (pow d 2) (sqrt (/ (pow l 3) h)))) d)
(* -1/8 (/ (* (pow D 2) (pow M 2)) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) (* d l)) (sqrt h)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt h))) (* (pow d 2) (sqrt (/ 1 h)))) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 2 (/ d (* D M)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (sqrt (/ (pow l 3) h)))
(* d (+ (sqrt (/ (pow l 3) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (* h l))))))
(* d (sqrt (/ 1 h)))
(* d (+ (sqrt (/ 1 h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (sqrt h)))))
(* 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 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ (pow l 3) h))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (* h l)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (* (pow d 2) l)) (sqrt h))) (* (sqrt (/ 1 h)) (pow (sqrt -1) 2)))))
(* -1 (* 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)))))
(* -1/2 h)
(/ (+ (* -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))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (* d l)) (sqrt (pow h 3)))) (* d (sqrt h))) h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(sqrt (/ (pow l 3) h))
(sqrt (* h l))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ l h)))) (* d (sqrt (/ (pow l 3) (pow h 3))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (* d l)) (sqrt (/ 1 h)))) (* d (sqrt (/ 1 (pow h 3))))))
(* 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))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (* h l))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ (pow l 3) (pow h 3))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ l h)))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (* d l)) (sqrt h)))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (pow h 3))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (* d l)) (sqrt (/ 1 h)))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (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))))
(* (sqrt (/ (pow l 3) h)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt h))) (* (* d l) (sqrt (/ 1 h)))) l)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (pow l 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (* d l)) (sqrt h))) (* d (sqrt (/ 1 h))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ (pow l 3) h)))
(* (pow l 2) (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (* h l)))) (* (/ d (pow M 2)) (sqrt (/ (pow l 3) h)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) (* d l)) (sqrt h))) (* (/ d (pow M 2)) (sqrt (/ 1 h)))))
(* (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)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (* h l)))) (* (/ d (pow D 2)) (sqrt (/ (pow l 3) h)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) (* d l)) (sqrt h))) (* (/ d (pow D 2)) (sqrt (/ 1 h)))))
(* (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
15.0ms	d	@	inf	((/ 1 2) (/ -1/2 (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (+ (* (* -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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (* (/ (/ (* M M) d) d) h) -1/8) (/ (* D D) l)))
10.0ms	l	@	inf	((/ 1 2) (/ -1/2 (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (+ (* (* -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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (* (/ (/ (* M M) d) d) h) -1/8) (/ (* D D) l)))
9.0ms	d	@	-inf	((/ 1 2) (/ -1/2 (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (+ (* (* -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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (* (/ (/ (* M M) d) d) h) -1/8) (/ (* D D) l)))
9.0ms	d	@	0	((/ 1 2) (/ -1/2 (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (+ (* (* -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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (* (/ (/ (* M M) d) d) h) -1/8) (/ (* D D) l)))
8.0ms	h	@	-inf	((/ 1 2) (/ -1/2 (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (+ (* (* -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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (* (/ (/ (* M M) d) d) h) -1/8) (/ (* D D) l)))

simplify156.0ms (1%)

Memory

21.2MiB live, 211.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	374	2000
1	1123	1853
2	4183	1823
3	6903	1810
0	8131	1759

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 92

Calls

Call 1

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

rewrite222.0ms (1.4%)

Memory

-19.7MiB live, 287.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	443
0	131	432
1	436	413
2	2930	387
0	9914	387

Stop Event

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

Counts

25 → 671

Calls

Call 1

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

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

eval120.0ms (0.8%)

Memory: 8.3MiB live, 201.8MiB allocated
Compiler: Compiled 37 294 to 3 089 computations (91.7% saved)

prune190.0ms (1.2%)

Memory

-2.1MiB live, 156.0MiB allocated

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	729	39	768
Fresh	13	9	22
Picked	4	1	5
Done	0	0	0
Total	746	49	795

Accuracy

95.6%

Counts

795 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.9%	(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) l) (.f64 (.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (.f64 l h)))) (/.f64 d (sqrt.f64 (.f64 l h))))
	40.7%	(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)))
	36.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	37.4%	(/.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)))
	35.5%	(/.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)))
	37.5%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 (/.f64 (.f64 M M) d) l) #s(literal -1/8 binary64))) (sqrt.f64 h) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (sqrt.f64 l))
	30.8%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (.f64 (/.f64 (.f64 M M) d) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (.f64 l d))) l)) (sqrt.f64 l))
	42.7%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (.f64 (neg.f64 D) (.f64 D (/.f64 (/.f64 (/.f64 (.f64 M M) d) d) l))))) d)) (sqrt.f64 l))
▶	15.9%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l)))) (sqrt.f64 l))
	35.6%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	57.2%	(.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)))
	13.5%	(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h))))
	66.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	66.6%	(.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)))
	70.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l) (.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	70.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 d (/.f64 (/.f64 #s(literal 2 binary64) D) M)) #s(literal -2 binary64)) l) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
	70.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) (/.f64 (.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) l)) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
	62.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	12.0%	(.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)))) #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))))
▶	70.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
	36.5%	(.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))))
	21.7%	(.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	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)))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 (neg.f64 M) M) d)) #s(literal -1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	27.0%	#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 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 l)) (sqrt.f64 h) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) (*.f64 l l)))
	18.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 D D) d) M) (.f64 #s(literal -1/8 binary64) M)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	29.5%	#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 d (sqrt.f64 h)) (sqrt.f64 l)))
	47.0%	#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 d h)) (sqrt.f64 (/.f64 l d))))
	20.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	19.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	25.7%	#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 #s(literal 1 binary64))) (sqrt.f64 (.f64 h (/.f64 l d)))))
	11.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l)))
	10.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
▶	30.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	40.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	2.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	30.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal -1 binary64))))) d))
	30.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	12.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
▶	15.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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))))))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
	31.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 l h)) #s(literal -2 binary64))) d))
	31.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
	31.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
	46.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
✓	31.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
▶	29.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	40.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))

Compiler

Compiled 4 246 to 2 866 computations (32.5% saved)

simplify117.0ms (0.7%)

Memory

-9.6MiB live, 139.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) 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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
cost-diff	2	(exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))
cost-diff	0	(.f64 #s(literal 1/8 binary64) (.f64 D D))
cost-diff	0	(.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d))
cost-diff	0	(.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)))))
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 (.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))))))
cost-diff	0	(.f64 (.f64 D D) #s(literal -1/8 binary64))
cost-diff	0	(.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l)))
cost-diff	0	#s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l))))
cost-diff	0	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l)))) (sqrt.f64 l))
cost-diff	0	(*.f64 l h)
cost-diff	0	(sqrt.f64 (*.f64 l h))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 l h)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
cost-diff	1	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	2	(/.f64 #s(literal -1/2 binary64) (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	83	505
0	121	490
1	221	482
2	560	482
3	2268	482
4	4510	482
0	8348	479

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

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

localize270.0ms (1.7%)

Memory

18.9MiB live, 346.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)
accuracy	2.6318883679287177	(exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))
accuracy	7.815028762178941	(log.f64 (*.f64 l h))
accuracy	13.796040412174753	#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))
accuracy	7.0011068616925405	(.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)))))
accuracy	7.895936071065597	(.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d))
accuracy	9.286756726351353	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	31.477046556604915	#s(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))))))
accuracy	4.605508127280768	(/.f64 (*.f64 M M) l)
accuracy	4.960721874207671	(.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (.f64 M M) l))
accuracy	7.656718465831336	(.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l)))
accuracy	18.829157270591146	#s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 h) d) (/.f64 (*.f64 M M) l))))
accuracy	0.0	(*.f64 l h)
accuracy	0.12890625	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	7.767058608553342	(sqrt.f64 (*.f64 l h))
accuracy	13.796040412174753	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	3.0793781110534075	(/.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l)
accuracy	3.6966297723852084	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
accuracy	8.033776621922494	(sqrt.f64 (/.f64 d l))
accuracy	10.036421709786575	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

124.0ms	133×	0	valid
102.0ms	123×	0	invalid

Compiler

Compiled 465 to 73 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-mult: 69.0ms (37.7% of total)

ival-sqrt: 38.0ms (20.8% of total)

ival-pow: 33.0ms (18% of total)

ival-div: 24.0ms (13.1% of total)

ival-pow2: 8.0ms (4.4% of total)

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

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

ival-add: 2.0ms (1.1% 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)

series296.0ms (1.9%)

Memory

-30.2MiB live, 327.6MiB allocated

Counts

26 → 63

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
64.0ms	h	@	-inf	((/ 1 2) (/ -1/2 (pow h -1)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (* (* D D) -1/8) (* (/ (sqrt h) d) (/ (* M M) l))) (* (* D D) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* 1/8 (* D D)) (/ (* M M) d)) (sqrt (/ h (pow l 3)))) (* (* 1/8 (* D D)) (/ (* M M) d)) (* 1/8 (* D D)) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (* (/ (sqrt h) d) (/ (* M M) l)) (/ (* M M) l) (sqrt (/ h (pow l 3))) (log (* l h)))
45.0ms	h	@	0	((/ 1 2) (/ -1/2 (pow h -1)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (* (* D D) -1/8) (* (/ (sqrt h) d) (/ (* M M) l))) (* (* D D) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* 1/8 (* D D)) (/ (* M M) d)) (sqrt (/ h (pow l 3)))) (* (* 1/8 (* D D)) (/ (* M M) d)) (* 1/8 (* D D)) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (* (/ (sqrt h) d) (/ (* M M) l)) (/ (* M M) l) (sqrt (/ h (pow l 3))) (log (* l h)))
34.0ms	h	@	inf	((/ 1 2) (/ -1/2 (pow h -1)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (* (* D D) -1/8) (* (/ (sqrt h) d) (/ (* M M) l))) (* (* D D) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* 1/8 (* D D)) (/ (* M M) d)) (sqrt (/ h (pow l 3)))) (* (* 1/8 (* D D)) (/ (* M M) d)) (* 1/8 (* D D)) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (* (/ (sqrt h) d) (/ (* M M) l)) (/ (* M M) l) (sqrt (/ h (pow l 3))) (log (* l h)))
24.0ms	l	@	-inf	((/ 1 2) (/ -1/2 (pow h -1)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (* (* D D) -1/8) (* (/ (sqrt h) d) (/ (* M M) l))) (* (* D D) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* 1/8 (* D D)) (/ (* M M) d)) (sqrt (/ h (pow l 3)))) (* (* 1/8 (* D D)) (/ (* M M) d)) (* 1/8 (* D D)) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (* (/ (sqrt h) d) (/ (* M M) l)) (/ (* M M) l) (sqrt (/ h (pow l 3))) (log (* l h)))
20.0ms	l	@	0	((/ 1 2) (/ -1/2 (pow h -1)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (* (* D D) -1/8) (* (/ (sqrt h) d) (/ (* M M) l))) (* (* D D) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* 1/8 (* D D)) (/ (* M M) d)) (sqrt (/ h (pow l 3)))) (* (* 1/8 (* D D)) (/ (* M M) d)) (* 1/8 (* D D)) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (* (/ (sqrt h) d) (/ (* M M) l)) (/ (* M M) l) (sqrt (/ h (pow l 3))) (log (* l h)))

simplify129.0ms (0.8%)

Memory

29.9MiB live, 220.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	972
1	654	923
2	2345	916
3	5430	907
0	8368	889

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

Calls

Call 1

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

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

rewrite206.0ms (1.3%)

Memory

17.0MiB live, 174.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	380
0	121	364
1	397	349
2	2659	331
0	9125	331

Stop Event

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

Counts

26 → 498

Calls

Call 1

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

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

eval59.0ms (0.4%)

Memory: -8.0MiB live, 112.0MiB allocated
Compiler: Compiled 21 842 to 1 972 computations (91% saved)

prune63.0ms (0.4%)

Memory

9.5MiB live, 125.3MiB allocated

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	467	23	490
Fresh	20	23	43
Picked	3	2	5
Done	0	1	1
Total	490	49	539

Accuracy

96.7%

Counts

539 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.9%	(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) l) (.f64 (.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (.f64 l h)))) (/.f64 d (sqrt.f64 (.f64 l h))))
	36.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	37.4%	(/.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)))
	35.5%	(/.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)))
	17.5%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (/.f64 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 h) d) M) M) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) l)) (sqrt.f64 l))
	18.6%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 h) M) (/.f64 M l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) d)) (sqrt.f64 l))
	15.7%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (sqrt.f64 h) (.f64 (.f64 (*.f64 M M) D) (/.f64 D d))))) (sqrt.f64 l))
	17.5%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 h) d) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l))) (sqrt.f64 l))
	19.5%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 h) d) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D))) (sqrt.f64 l))
	18.2%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 h) d) M) M) l))) (sqrt.f64 l))
	17.4%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 h) M) M) (.f64 l d)))) (sqrt.f64 l))
▶	17.4%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 l d) (.f64 (.f64 (sqrt.f64 h) M) M))))) (sqrt.f64 l))
	20.1%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) #s(approx ( (/ (sqrt h) d) (/ (* M M) l)) (.f64 (/.f64 M l) (/.f64 (.f64 M (sqrt.f64 h)) d))))) (sqrt.f64 l))
	18.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 h) d) M) (/.f64 M l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))))
	35.6%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	57.2%	(.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)))
▶	66.2%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.6%	(.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)))
	70.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 d (/.f64 (/.f64 #s(literal 2 binary64) D) M)) #s(literal -2 binary64)) l) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
	62.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	12.0%	(.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)))) #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))))
	70.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l) (.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	70.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) (/.f64 (.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) l)) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
	39.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
▶	70.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
	21.7%	(.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	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)))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 (neg.f64 M) M) d)) #s(literal -1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	29.5%	#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 d (sqrt.f64 h)) (sqrt.f64 l)))
▶	47.0%	#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 d h)) (sqrt.f64 (/.f64 l d))))
	20.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	19.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	25.7%	#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 #s(literal 1 binary64))) (sqrt.f64 (.f64 h (/.f64 l d)))))
	11.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l)))
	30.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	30.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	40.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	29.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
	18.7%	#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 (.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	30.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	15.1%	#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 (.f64 (/.f64 (.f64 M M) d) (*.f64 #s(literal 1/8 binary64) D)) D) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	17.3%	#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 (.f64 #s(literal 1/8 binary64) (*.f64 D D)) M) (/.f64 M d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	12.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	17.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
	46.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
✓	31.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
✓	29.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	40.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))

Compiler

Compiled 4 085 to 2 833 computations (30.6% saved)

simplify150.0ms (0.9%)

Memory

-40.4MiB live, 128.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	529
0	126	525
1	228	504
2	593	502
3	2756	502
4	5495	502
5	7351	502
0	8021	497

Stop Event

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

Calls

Call 1

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

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

localize242.0ms (1.5%)

Memory

30.7MiB live, 231.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.6434121451321353	(/.f64 d (*.f64 D M))
accuracy	3.8864626041812214	(fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64))
accuracy	8.033776621922494	(sqrt.f64 (/.f64 d l))
accuracy	10.040327959786575	(sqrt.f64 (/.f64 d h))
accuracy	0.8330660234801717	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 l d) (.f64 (.f64 (sqrt.f64 h) M) M))))) (sqrt.f64 l))
accuracy	5.086019334374211	(/.f64 (.f64 l d) (.f64 (*.f64 (sqrt.f64 h) M) M))
accuracy	7.656718465831336	(.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 l d) (.f64 (.f64 (sqrt.f64 h) M) M))))
accuracy	18.829157270591146	#s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 l d) (.f64 (.f64 (sqrt.f64 h) M) M)))))
accuracy	0.13671875	(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
accuracy	8.284248647041132	(sqrt.f64 (/.f64 l d))
accuracy	10.040327959786575	(sqrt.f64 (/.f64 d h))
accuracy	13.796040412174753	#s(approx (* (* (pow (/ 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 h)) (sqrt.f64 (/.f64 l d))))
accuracy	0.0859375	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.1328125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
accuracy	7.767058608553342	(sqrt.f64 (*.f64 l h))
accuracy	13.796040412174753	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
accuracy	3.0793781110534075	(/.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l)
accuracy	3.6966297723852084	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) l) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
accuracy	8.033776621922494	(sqrt.f64 (/.f64 d l))
accuracy	10.040327959786575	(sqrt.f64 (/.f64 d h))

Samples

104.0ms	133×	0	valid
87.0ms	123×	0	invalid

Compiler

Compiled 491 to 75 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-pow: 57.0ms (35.7% of total)

ival-mult: 50.0ms (31.3% of total)

ival-div: 33.0ms (20.7% of total)

ival-sqrt: 11.0ms (6.9% of total)

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

ival-pow2: 2.0ms (1.3% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series118.0ms (0.7%)

Memory

-18.8MiB live, 173.3MiB allocated

Counts

24 → 72

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	M	@	0	((/ -1/2 (pow h -1)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (sqrt (/ d h)) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d h)) (sqrt (/ l d))) (/ d h) (/ 1 (/ (* l d) (* (* (sqrt h) M) M))) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (* (* D D) -1/8) (/ 1 (/ (* l d) (* (* (sqrt h) M) M)))) (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (* (/ h l) -1/2) (sqrt (/ d l)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (sqrt (/ l d)) (/ (* l d) (* (* (sqrt h) M) M)) (/ d (* D M)))
9.0ms	d	@	-inf	((/ -1/2 (pow h -1)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (sqrt (/ d h)) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d h)) (sqrt (/ l d))) (/ d h) (/ 1 (/ (* l d) (* (* (sqrt h) M) M))) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (* (* D D) -1/8) (/ 1 (/ (* l d) (* (* (sqrt h) M) M)))) (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (* (/ h l) -1/2) (sqrt (/ d l)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (sqrt (/ l d)) (/ (* l d) (* (* (sqrt h) M) M)) (/ d (* D M)))
9.0ms	l	@	inf	((/ -1/2 (pow h -1)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (sqrt (/ d h)) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d h)) (sqrt (/ l d))) (/ d h) (/ 1 (/ (* l d) (* (* (sqrt h) M) M))) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (* (* D D) -1/8) (/ 1 (/ (* l d) (* (* (sqrt h) M) M)))) (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (* (/ h l) -1/2) (sqrt (/ d l)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (sqrt (/ l d)) (/ (* l d) (* (* (sqrt h) M) M)) (/ d (* D M)))
8.0ms	h	@	0	((/ -1/2 (pow h -1)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (sqrt (/ d h)) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d h)) (sqrt (/ l d))) (/ d h) (/ 1 (/ (* l d) (* (* (sqrt h) M) M))) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (* (* D D) -1/8) (/ 1 (/ (* l d) (* (* (sqrt h) M) M)))) (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (* (/ h l) -1/2) (sqrt (/ d l)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (sqrt (/ l d)) (/ (* l d) (* (* (sqrt h) M) M)) (/ d (* D M)))
8.0ms	h	@	-inf	((/ -1/2 (pow h -1)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (/ (pow (* (/ d M) (/ 2 D)) -2) l) (/ -1/2 (pow h -1))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (sqrt (/ d h)) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d h)) (sqrt (/ l d))) (/ d h) (/ 1 (/ (* l d) (* (* (sqrt h) M) M))) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (* (* (* D D) -1/8) (/ 1 (/ (* l d) (* (* (sqrt h) M) M)))) (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (* (/ h l) -1/2) (sqrt (/ d l)) (/ (pow (* (/ d M) (/ 2 D)) -2) l) (sqrt (/ l d)) (/ (* l d) (* (* (sqrt h) M) M)) (/ d (* D M)))

simplify151.0ms (1%)

Memory

17.2MiB live, 214.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	1384
1	885	1306
2	3336	1290
3	7255	1283
0	8130	1250

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite241.0ms (1.5%)

Memory

-21.1MiB live, 262.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	376
0	126	361
1	423	340
2	2950	316
0	8688	308

Stop Event

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

Counts

24 → 1 103

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 h) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 h #s(literal -1/2 binary64)))
(*.f64 h #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) h)
(pow.f64 (/.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 h #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1/2 binary64))) (pow.f64 h #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) h))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) h))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) h)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 h #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 h #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64))) l) h #s(literal 1 binary64)) (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 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64))) l) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64))) l) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(.f64 (.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64))) l) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64))) l) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64))) l) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64))) l) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))
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(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 M) D)) (/.f64 d (.f64 (neg.f64 M) D)))
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eval120.0ms (0.8%)

Memory: 35.9MiB live, 223.6MiB allocated
Compiler: Compiled 41 865 to 4 013 computations (90.4% saved)

prune96.0ms (0.6%)

Memory

-7.6MiB live, 162.9MiB allocated

Pruning

48 alts after pruning (43 fresh and 5 done)

	Pruned	Kept	Total
New	1 046	18	1 064
Fresh	16	25	41
Picked	3	2	5
Done	0	3	3
Total	1 065	48	1 113

Accuracy

96.7%

Counts

1 113 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.9%	(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) l) (.f64 (.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (.f64 l h)))) (/.f64 d (sqrt.f64 (.f64 l h))))
	17.5%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (/.f64 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 h) d) M) M) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) l)) (sqrt.f64 l))
	18.6%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 h) M) (/.f64 M l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) d)) (sqrt.f64 l))
	16.6%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 l d)) (.f64 (.f64 (sqrt.f64 h) M) M))) (sqrt.f64 l))
	18.7%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 d (/.f64 l (*.f64 (sqrt.f64 h) M)))) M)) (sqrt.f64 l))
	20.7%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (/.f64 D (/.f64 l (.f64 (sqrt.f64 h) M))) (/.f64 (*.f64 #s(literal -1/8 binary64) D) (/.f64 d M)))) (sqrt.f64 l))
	18.0%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (/.f64 D l) (/.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 d (.f64 (.f64 (sqrt.f64 h) M) M))))) (sqrt.f64 l))
	15.7%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (sqrt.f64 h) (.f64 (.f64 (*.f64 M M) D) (/.f64 D d))))) (sqrt.f64 l))
	19.5%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 h) d) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D))) (sqrt.f64 l))
	18.2%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 h) d) M) M) l))) (sqrt.f64 l))
	19.0%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 (.f64 (sqrt.f64 h) M) (.f64 l d))))) (sqrt.f64 l))
	19.1%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) #s(approx (* (* (* D D) -1/8) (/ 1 (/ (* l d) (* (* (sqrt h) M) M)))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 h)) (.f64 (.f64 (/.f64 (neg.f64 M) l) (/.f64 M d)) (*.f64 D D))))) (sqrt.f64 l))
	18.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 h) d) M) (/.f64 M l)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))))
	38.8%	(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64))) l) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	17.5%	(.f64 (pow.f64 l #s(literal -1/2 binary64)) #s(approx ( (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (/.f64 (.f64 D D) l) (/.f64 #s(literal -1/8 binary64) (/.f64 d (.f64 (.f64 (sqrt.f64 h) M) M))))))
	70.6%	(.f64 (.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -2 binary64))) l) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	35.1%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
	37.0%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
	67.6%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/8 binary64)) (.f64 D (/.f64 M d))) (.f64 D (/.f64 M d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.2%	(.f64 (.f64 (fma.f64 (.f64 h (/.f64 #s(literal -1/2 binary64) l)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	70.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 d (/.f64 (/.f64 #s(literal 2 binary64) D) M)) #s(literal -2 binary64)) l) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
	12.0%	(.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)))) #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))))
	70.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) (/.f64 (.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) l)) (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
	46.9%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	7.5%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (* 1/4 (pow (/ d (* D M)) -2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	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)))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 (neg.f64 M) M) d)) #s(literal -1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
	29.5%	#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 d (sqrt.f64 h)) (sqrt.f64 l)))
✓	47.0%	#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 d h)) (sqrt.f64 (/.f64 l d))))
	7.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
	20.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	19.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	25.7%	#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 #s(literal 1 binary64))) (sqrt.f64 (.f64 h (/.f64 l d)))))
	11.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l)))
	30.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	30.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	40.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	29.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
	18.7%	#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 (.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
✓	30.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.3%	#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 (.f64 #s(literal 1/8 binary64) (*.f64 D D)) M) (/.f64 M d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	12.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	17.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
✓	31.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
✓	29.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	40.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))

Compiler

Compiled 6 628 to 2 034 computations (69.3% saved)

regimes244.0ms (1.5%)

Memory

11.8MiB live, 287.2MiB allocated

Counts

108 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

43.0ms	(.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))))
42.0ms	h
32.0ms	d
31.0ms	D
30.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
84.6%	3	`d`
82.0%	2	`h`
82.0%	2	`l`
70.6%	1	`M`
70.6%	1	`D`
76.0%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
70.6%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes87.0ms (0.5%)

Memory

-19.5MiB live, 136.1MiB allocated

Counts

95 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

28.0ms	l
26.0ms	d
25.0ms	h

Results

Accuracy	Segments	Branch
80.1%	2	`h`
80.1%	2	`l`
82.7%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes28.0ms (0.2%)

Memory

15.8MiB live, 53.0MiB allocated

Counts

83 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
82.3%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes120.0ms (0.8%)

Memory

-11.5MiB live, 114.3MiB allocated

Counts

77 → 3

Calls

Call 1

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

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

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

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

Calls

3 calls:

54.0ms	d
36.0ms	l
25.0ms	h

Results

Accuracy	Segments	Branch
77.7%	2	`l`
77.7%	2	`h`
80.3%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes34.0ms (0.2%)

Memory

-9.2MiB live, 29.1MiB allocated

Counts

71 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
79.3%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes72.0ms (0.5%)

Memory

21.7MiB live, 60.0MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

38.0ms	l
11.0ms	d
11.0ms	h
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
75.6%	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))))`
71.9%	2	`l`
73.9%	3	`h`
78.0%	4	`d`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes108.0ms (0.7%)

Memory

-22.2MiB live, 98.2MiB allocated

Counts

39 → 5

Calls

Call 1

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

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

Calls

7 calls:

26.0ms	l
22.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
16.0ms	D
10.0ms	M
10.0ms	d

Results

Accuracy	Segments	Branch
63.6%	3	`l`
56.9%	3	`M`
56.0%	2	`(*.f64 M D)`
53.6%	3	`D`
66.5%	4	`h`
71.0%	5	`d`
63.4%	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)

regimes22.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated

Counts

37 → 4

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	d
10.0ms	h

Results

Accuracy	Segments	Branch
64.3%	4	`h`
65.7%	4	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes45.0ms (0.3%)

Memory

-16.6MiB live, 21.9MiB allocated

Counts

23 → 4

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	d
7.0ms	l

Results

Accuracy	Segments	Branch
56.3%	3	`l`
65.0%	4	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes21.0ms (0.1%)

Memory

-15.3MiB live, 27.2MiB allocated

Counts

20 → 2

Calls

Call 1

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

Calls

3 calls:

8.0ms

6.0ms

5.0ms

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

Results

Accuracy	Segments	Branch
57.6%	3	`h`
58.2%	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))))`
59.9%	4	`d`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes24.0ms (0.1%)

Memory

33.5MiB live, 33.5MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.1%	2	`(*.f64 M D)`
54.4%	2	`h`
57.1%	3	`d`
52.7%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 38 computations (5% saved)

regimes35.0ms (0.2%)

Memory

-14.5MiB live, 24.2MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

22.0ms	d
5.0ms	M
5.0ms	l

Results

Accuracy	Segments	Branch
53.4%	2	`l`
51.5%	2	`M`
56.1%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes11.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	d
5.0ms	h

Results

Accuracy	Segments	Branch
53.4%	2	`h`
53.5%	2	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes16.0ms (0.1%)

Memory

-13.2MiB live, 25.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

3.0ms	d
2.0ms	D
2.0ms	(*.f64 M D)
2.0ms	h
2.0ms	l

Results

Accuracy	Segments	Branch
36.9%	4	`(*.f64 M D)`
34.7%	2	`M`
38.9%	4	`D`
33.2%	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))))`
49.2%	2	`l`
49.1%	2	`h`
49.9%	2	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes20.0ms (0.1%)

Memory

-15.4MiB live, 23.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

9.0ms	M
2.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms	D
2.0ms	d
2.0ms	l

Results

Accuracy	Segments	Branch
31.3%	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))))`
31.3%	1	`(*.f64 M D)`
31.3%	1	`M`
31.3%	1	`D`
31.3%	1	`h`
31.3%	1	`l`
31.3%	1	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes8.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB 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:

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

Results

Accuracy	Segments	Branch
30.9%	1	`(*.f64 M D)`
30.9%	1	`M`
30.9%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
30.9%	1	`D`
30.9%	1	`l`
30.9%	1	`d`
30.9%	1	`h`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch208.0ms (1.3%)

Memory

-7.7MiB live, 149.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
95.0ms	1.498040109408427e-216	4.3998307620830143e-209
101.0ms	-3.6375910074095523e-296	-9.143121728540502e-303

Samples

137.0ms	288×	0	valid
37.0ms	308×	0	invalid

Compiler

Compiled 1 820 to 1 398 computations (23.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-div: 67.0ms (43.6% of total)

ival-mult: 57.0ms (37.1% of total)

ival-pow: 20.0ms (13% of total)

ival-pow2: 6.0ms (3.9% of total)

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

exact: 1.0ms (0.7% of total)

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

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

bsearch20.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.498040109408427e-216	4.3998307620830143e-209
15.0ms	-7.025286294332203e-309	1.122496042567624e-309

Samples

7.0ms	48×	0	valid
5.0ms	39×	0	invalid

Compiler

Compiled 1 292 to 978 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (33.1% of total)

ival-mult: 3.0ms (33.1% of total)

ival-pow: 2.0ms (22% of total)

ival-pow2: 1.0ms (11% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.498040109408427e-216	4.3998307620830143e-209
1.0ms	-7.025286294332203e-309	1.122496042567624e-309

Compiler

Compiled 1 292 to 978 computations (24.3% saved)

bsearch70.0ms (0.4%)

Memory

-10.2MiB live, 30.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.498040109408427e-216	4.3998307620830143e-209
64.0ms	-9.87562522607429e-296	-3.6375910074095523e-296

Samples

45.0ms	85×	0	invalid
13.0ms	80×	0	valid

Compiler

Compiled 1 437 to 1 087 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 6.0ms (34.5% of total)

ival-mult: 5.0ms (28.8% of total)

ival-pow: 4.0ms (23% of total)

ival-pow2: 2.0ms (11.5% of total)

ival-sub: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.498040109408427e-216	4.3998307620830143e-209
2.0ms	-3.6375910074095523e-296	-9.143121728540502e-303

Compiler

Compiled 1 793 to 1 326 computations (26% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch258.0ms (1.6%)

Memory

20.3MiB live, 130.4MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
74.0ms	6.4384061907633635e+146	1.677731418570977e+152
56.0ms	4.0812740613045136e-145	1.3070784913229422e-144
28.0ms	-3.9668690468262027e-308	-7.025286294332203e-309
83.0ms	-9.604389243002343e-52	-4.967872770311686e-53

Samples

89.0ms	416×	0	valid
50.0ms	421×	0	invalid

Compiler

Compiled 2 695 to 1 882 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-div: 28.0ms (32.8% of total)

ival-mult: 26.0ms (30.4% of total)

ival-pow: 18.0ms (21.1% of total)

ival-pow2: 8.0ms (9.4% of total)

ival-sub: 4.0ms (4.7% of total)

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

exact: 1.0ms (1.2% of total)

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

bsearch54.0ms (0.3%)

Memory

-21.7MiB live, 23.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
49.0ms	4.0812740613045136e-145	1.3070784913229422e-144
1.0ms	-3.9668690468262027e-308	-7.025286294332203e-309
1.0ms	-9.604389243002343e-52	-4.967872770311686e-53

Samples

7.0ms	48×	0	valid
6.0ms	51×	0	invalid

Compiler

Compiled 1 809 to 1 224 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (29.5% of total)

ival-mult: 3.0ms (29.5% of total)

ival-pow: 2.0ms (19.6% of total)

ival-pow2: 1.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	4.0812740613045136e-145	1.3070784913229422e-144
1.0ms	-3.9668690468262027e-308	-7.025286294332203e-309
1.0ms	-9.604389243002343e-52	-4.967872770311686e-53

Compiler

Compiled 1 699 to 1 164 computations (31.5% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0666740399038155e-172	-0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch130.0ms (0.8%)

Memory

16.6MiB live, 91.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
123.0ms	3.5802743810055077e-180	4.1440073557319686e-173
1.0ms	-7.025286294332203e-309	1.122496042567624e-309

Samples

94.0ms	144×	0	valid
19.0ms	155×	0	invalid

Compiler

Compiled 1 553 to 990 computations (36.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 53.0ms (52.1% of total)

ival-div: 38.0ms (37.3% of total)

ival-pow: 6.0ms (5.9% of total)

ival-pow2: 3.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch42.0ms (0.3%)

Memory

-31.8MiB live, 5.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.5802743810055077e-180	4.1440073557319686e-173
1.0ms	-7.025286294332203e-309	1.122496042567624e-309

Compiler

Compiled 1 544 to 984 computations (36.3% saved)

bsearch108.0ms (0.7%)

Memory

13.9MiB live, 101.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
101.0ms	4.1440073557319686e-173	6.171182164814275e-161

Samples

30.0ms	164×	0	invalid
25.0ms	160×	0	valid

Compiler

Compiled 918 to 610 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 11.0ms (33.1% of total)

ival-mult: 10.0ms (30.1% of total)

ival-pow: 7.0ms (21.1% of total)

ival-pow2: 3.0ms (9% of total)

ival-sub: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch61.0ms (0.4%)

Memory

-7.9MiB live, 70.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	-5.510008546349462e-208	-6.0060526198911664e-210

Samples

30.0ms	112×	0	valid
13.0ms	109×	0	invalid

Compiler

Compiled 661 to 443 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 8.0ms (34.4% of total)

ival-mult: 7.0ms (30.1% of total)

ival-pow: 5.0ms (21.5% of total)

ival-pow2: 2.0ms (8.6% of total)

ival-sub: 1.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify68.0ms (0.4%)

Memory

20.6MiB live, 62.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	2128
1	340	2128
2	620	2123
3	1929	2123
4	4283	2123

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))))

soundness2.2s (13.8%)

Memory

-26.3MiB live, 1 544.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	380
0	121	364
1	397	349
2	2659	331
0	9125	331
0	227	972
1	654	923
2	2345	916
3	5430	907
0	8368	889
0	22	72
0	38	68
1	124	67
2	836	67
0	8769	65
0	83	376
0	126	361
1	423	340
2	2950	316
0	8688	308
0	374	2000
1	1123	1853
2	4183	1823
3	6903	1810
0	8131	1759
0	79	443
0	131	432
1	436	413
2	2930	387
0	9914	387
0	147	635
1	413	593
2	1514	584
3	4190	568
4	7941	568
0	8163	552

Stop Event

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

Compiler

Compiled 4 613 to 1 837 computations (60.2% saved)

preprocess144.0ms (0.9%)

Memory: 6.9MiB live, 241.3MiB allocated
Compiler: Compiled 6 472 to 1 502 computations (76.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze445.0ms (2.8%)

sample6.2s (39.1%)

explain554.0ms (3.5%)

preprocess215.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify162.0ms (1%)

localize64.0ms (0.4%)

series108.0ms (0.7%)

simplify131.0ms (0.8%)

rewrite156.0ms (1%)

eval61.0ms (0.4%)

prune31.0ms (0.2%)

simplify120.0ms (0.8%)

localize272.0ms (1.7%)

series121.0ms (0.8%)

simplify156.0ms (1%)

rewrite222.0ms (1.4%)

eval120.0ms (0.8%)

prune190.0ms (1.2%)

simplify117.0ms (0.7%)

localize270.0ms (1.7%)

series296.0ms (1.9%)

simplify129.0ms (0.8%)

rewrite206.0ms (1.3%)

eval59.0ms (0.4%)

prune63.0ms (0.4%)

simplify150.0ms (0.9%)

localize242.0ms (1.5%)

series118.0ms (0.7%)

simplify151.0ms (1%)

rewrite241.0ms (1.5%)

eval120.0ms (0.8%)

prune96.0ms (0.6%)

regimes244.0ms (1.5%)

regimes87.0ms (0.5%)

regimes28.0ms (0.2%)

regimes120.0ms (0.8%)

regimes34.0ms (0.2%)

regimes72.0ms (0.5%)

regimes108.0ms (0.7%)

regimes22.0ms (0.1%)

regimes45.0ms (0.3%)

regimes21.0ms (0.1%)

regimes24.0ms (0.1%)

regimes35.0ms (0.2%)

regimes11.0ms (0.1%)

regimes16.0ms (0.1%)

regimes20.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch208.0ms (1.3%)

bsearch20.0ms (0.1%)

bsearch4.0ms (0%)

bsearch70.0ms (0.4%)

bsearch5.0ms (0%)

bsearch1.0ms (0%)

bsearch258.0ms (1.6%)

bsearch54.0ms (0.3%)

bsearch4.0ms (0%)

bsearch1.0ms (0%)

bsearch130.0ms (0.8%)

bsearch42.0ms (0.3%)

bsearch108.0ms (0.7%)

bsearch61.0ms (0.4%)

simplify68.0ms (0.4%)

soundness2.2s (13.8%)

preprocess144.0ms (0.9%)

end0.0ms (0%)

Profiling