Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze536.0ms (3.2%)

Memory

-2.0MiB live, 606.8MiB 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)

sample6.5s (38.5%)

Memory

40.9MiB live, 6 413.0MiB allocated

Samples

3.0s	13 526×	0	invalid
2.0s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.9s

ival-mult: 1.5s (37.7% of total)

ival-div: 1.1s (29% of total)

ival-pow: 791.0ms (20.3% of total)

ival-pow2: 334.0ms (8.6% of total)

ival-sub: 126.0ms (3.2% of total)

exact: 22.0ms (0.6% of total)

ival-true: 17.0ms (0.4% of total)

ival-assert: 9.0ms (0.2% of total)

Bogosity

explain328.0ms (2%)

Memory

-13.8MiB live, 497.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	3	(-4.6697786992767464e-51 -1.5777206417191645e+270 -1.9592986132963282e-14 5.039847279579923e-58 2.183677787413076e+247)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
62	-	3	(-1.6957366880796676e-152 -1.8745624864210067e+216 -3.920968157386978e+168 -8.800460700835796e-83 -1.816930962925771e-213)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
44	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
24	-	1	(8.745974369504153e-278 5.766172451273541e-255 1.1226533464605475e+216 -2.4409849714939606e-27 -3.491134825709768e-291)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
17	-	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))))`
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 h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	38	0
↳	`(/.f64 d h)`	overflow	38
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	34	0
↳	`(/.f64 d l)`	overflow	34
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	25	0
↳	`(/.f64 d l)`	underflow	25
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	23	0
↳	`(/.f64 d h)`	underflow	23
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	14	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**	11	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	94
↳	`(.f64 (/.f64 #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	94
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	42
↳	`(/.f64 h l)`	underflow	37
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	9	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	8	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.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**	7	0
↳	`(/.f64 d h)`	underflow	23
↳	`(/.f64 d l)`	underflow	25
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	15
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	94
↳	`(.f64 (/.f64 #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	94
↳	`(/.f64 h l)`	overflow	38
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	93
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	93
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	42
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	2	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	81
↳	`(.f64 (/.f64 #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	81
↳	`(*.f64 M D)`	underflow	19
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	35
↳	`(/.f64 h l)`	overflow	38
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	19

Confusion

	Predicted +	Predicted -
+	88	5
-	38	125

Precision

0.6984126984126984

Recall

0.946236559139785

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	88	0	5
-	38	0	125

Precision?

0.6984126984126984

Recall?

0.946236559139785

Freqs

test

number	freq
0	130
1	84
2	36
3	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

99.0ms

512×

valid

Compiler

Compiled 501 to 92 computations (81.6% saved)

Precisions

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

ival-mult: 22.0ms (31.3% of total)

ival-pow: 20.0ms (28.5% of total)

ival-div: 19.0ms (27.1% of total)

ival-pow2: 5.0ms (7.1% of total)

ival-sub: 2.0ms (2.8% of total)

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

exact: 1.0ms (1.4% of total)

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

preprocess156.0ms (0.9%)

Memory

4.7MiB live, 206.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

65.3%

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify146.0ms (0.9%)

Memory

22.1MiB live, 141.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

localize77.0ms (0.5%)

Memory

15.0MiB live, 89.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.412485601642477	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	10.186379299937302	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	14.485925723742884	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	14.701583494752079	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

63.0ms

256×

valid

Compiler

Compiled 310 to 46 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-pow: 10.0ms (31.4% of total)

ival-div: 9.0ms (28.3% of total)

ival-mult: 8.0ms (25.1% of total)

ival-pow2: 3.0ms (9.4% of total)

ival-sub: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (0.3%)

Memory

-9.6MiB live, 73.2MiB allocated

Counts

6 → 17

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
18.0ms	d	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	M	@	inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	h	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
3.0ms	h	@	inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
3.0ms	d	@	inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))

simplify144.0ms (0.9%)

Memory

-14.0MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	223
1	172	201
2	633	201
3	3332	201
4	5970	201
5	7992	201
0	8102	194

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite191.0ms (1.1%)

Memory

0.4MiB live, 212.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	50
0	34	48
1	114	48
2	719	48
3	7808	48
0	8842	47

Stop Event

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

Counts

6 → 393

Calls

Call 1

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

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

eval59.0ms (0.4%)

Memory: -9.4MiB live, 107.8MiB allocated
Compiler: Compiled 17 549 to 1 978 computations (88.7% saved)

prune33.0ms (0.2%)

Memory

3.3MiB live, 76.1MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	381	23	404
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	382	23	405

Accuracy

85.4%

Counts

405 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	65.2%	(.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)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	64.6%	(.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 #s(literal -1/2 binary64) l) (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
	67.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64)))
	64.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
▶	68.6%	(.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 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	61.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	67.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))))
	50.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 d d)) D) (.f64 (/.f64 (.f64 (.f64 M M) h) l) D)))))
	29.5%	(.f64 (.f64 (pow.f64 (/.f64 d 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) #s(literal -1/8 binary64)) h) d) l) (*.f64 D (/.f64 D d)))))
▶	33.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	36.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	31.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	64.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	31.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	36.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	65.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	40.8%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	65.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.4%	(.f64 (.f64 (.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))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.5%	(.f64 (.f64 (.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	40.8%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Compiler

Compiled 1 716 to 1 178 computations (31.4% saved)

simplify126.0ms (0.8%)

Memory

29.0MiB live, 185.7MiB 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))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	6848	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	694
0	111	673
1	193	661
2	550	653
3	3036	653
4	6677	653
0	8395	643

Stop Event

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

Calls

Call 1

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

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

localize246.0ms (1.5%)

Memory

-29.0MiB live, 300.1MiB allocated

Localize:

Found 20 expressions of interest:

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

Samples

167.0ms

256×

invalid

Compiler

Compiled 1 546 to 122 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-div: 61.0ms (47.8% of total)

ival-mult: 26.0ms (20.4% of total)

ival-pow: 20.0ms (15.7% of total)

ival-pow2: 9.0ms (7% of total)

ival-sqrt: 7.0ms (5.5% of total)

ival-sub: 2.0ms (1.6% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series81.0ms (0.5%)

Memory

31.7MiB live, 110.9MiB allocated

Counts

24 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	h	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)) (sqrt (/ -1 l)))
9.0ms	h	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)) (sqrt (/ -1 l)))
8.0ms	l	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)) (sqrt (/ -1 l)))
7.0ms	d	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)) (sqrt (/ -1 l)))
5.0ms	d	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)) (sqrt (/ -1 l)))

simplify152.0ms (0.9%)

Memory

-20.3MiB live, 129.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	1079
1	649	979
2	2338	957
3	5263	937
0	8676	920

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite255.0ms (1.5%)

Memory

14.4MiB live, 300.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	242
0	103	224
1	280	211
2	1584	211
0	8586	205

Stop Event

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

Counts

24 → 1 837

Calls

Call 1

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

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

eval216.0ms (1.3%)

Memory: 15.5MiB live, 321.6MiB allocated
Compiler: Compiled 70 493 to 4 705 computations (93.3% saved)

prune81.0ms (0.5%)

Memory

-16.3MiB live, 186.3MiB allocated

Pruning

46 alts after pruning (46 fresh and 0 done)

	Pruned	Kept	Total
New	1 621	45	1 666
Fresh	17	1	18
Picked	5	0	5
Done	0	0	0
Total	1 643	46	1 689

Accuracy

93.2%

Counts

1 689 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.9%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	64.5%	(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	26.4%	(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h)))) (sqrt.f64 l))
	14.5%	(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
	23.6%	(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
	54.0%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)))
	35.1%	(.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	35.5%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	16.1%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	29.6%	(.f64 (/.f64 (sqrt.f64 (.f64 d (/.f64 d h))) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	51.5%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	24.8%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	2.8%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	3.2%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	35.2%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 h (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	19.3%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 h (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	67.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
▶	33.1%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	58.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 h d) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
▶	65.4%	(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	67.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) h) d))))
	38.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) l) h #s(literal 1 binary64)))
	29.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 h (/.f64 (.f64 D D) d))) (*.f64 M M) #s(literal 1 binary64))))
	20.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	41.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	29.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 h (/.f64 (.f64 D D) d))) (*.f64 M M) #s(literal 1 binary64))))
	20.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	39.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (neg.f64 l)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	10.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	40.8%	(.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))))
	21.1%	(.f64 (.f64 (.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	65.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
▶	68.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	33.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	36.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	58.2%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	27.8%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	51.7%	(.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (/.f64 d h) (neg.f64 d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	40.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	41.0%	#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 #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))
	17.7%	#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 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
▶	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	17.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h))) d (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 M M) D) (/.f64 D d))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
	18.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (*.f64 M M) D) (/.f64 D d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	23.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))))

Compiler

Compiled 3 530 to 2 586 computations (26.7% saved)

simplify132.0ms (0.8%)

Memory

6.6MiB live, 126.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 h (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64)))
cost-diff	448	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))
cost-diff	6848	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
cost-diff	0	(.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	320	(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (/.f64 l d))
cost-diff	0	(/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h))))
cost-diff	0	(*.f64 l h)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64)))
cost-diff	448	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))
cost-diff	6848	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	628
0	109	644
1	203	614
2	577	547
3	3230	547
4	7720	547
0	8178	537

Stop Event

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

Calls

Call 1

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

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

localize269.0ms (1.6%)

Memory

20.6MiB live, 328.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.082728745626664	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	2.3724991593038163	(*.f64 h (/.f64 l d))
accuracy	2.9910746615615214	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
accuracy	7.78202597168092	(sqrt.f64 (*.f64 h (/.f64 l d)))
accuracy	2.0870672304273317	(*.f64 D (/.f64 M d))
accuracy	4.077381429714021	(.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))))
accuracy	6.362228540296304	(sqrt.f64 (/.f64 d l))
accuracy	8.108690868181911	(sqrt.f64 (/.f64 d h))
accuracy	1.9386993528050123	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
accuracy	6.609030117899332	(sqrt.f64 (/.f64 l d))
accuracy	8.108690868181911	(sqrt.f64 (/.f64 d h))
accuracy	14.88430605456791	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	0.109375	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.39084503109140417	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	6.002294033853571	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	14.812357598568452	#s(approx (* (* (pow (/ d h) (/ 1 2)) (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	2.082728745626664	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	2.9910746615615214	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
accuracy	6.362228540296304	(sqrt.f64 (/.f64 d l))
accuracy	8.108690868181911	(sqrt.f64 (/.f64 d h))

Samples

102.0ms	137×	0	invalid
82.0ms	119×	0	valid

Compiler

Compiled 1 268 to 136 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 39.0ms (40.9% of total)

ival-div: 22.0ms (23.1% of total)

ival-pow: 15.0ms (15.7% of total)

ival-sqrt: 10.0ms (10.5% of total)

ival-pow2: 5.0ms (5.2% of total)

ival-sub: 2.0ms (2.1% of total)

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

exact: 1.0ms (1% of total)

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

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

series141.0ms (0.8%)

Memory

-6.9MiB live, 261.4MiB allocated

Counts

25 → 70

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
32.0ms	l	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 1/2)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ l d)) (sqrt (/ d h))) (sqrt (/ l d)) (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (* (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (* (/ (sqrt d) (sqrt (* h (/ l d)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ 1/2 d) M) D) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* D (/ M d)) (sqrt (* h (/ l d))) (* h (/ l d)))
23.0ms	d	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 1/2)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ l d)) (sqrt (/ d h))) (sqrt (/ l d)) (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (* (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (* (/ (sqrt d) (sqrt (* h (/ l d)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ 1/2 d) M) D) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* D (/ M d)) (sqrt (* h (/ l d))) (* h (/ l d)))
13.0ms	h	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 1/2)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ l d)) (sqrt (/ d h))) (sqrt (/ l d)) (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (* (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (* (/ (sqrt d) (sqrt (* h (/ l d)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ 1/2 d) M) D) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* D (/ M d)) (sqrt (* h (/ l d))) (* h (/ l d)))
9.0ms	d	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 1/2)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ l d)) (sqrt (/ d h))) (sqrt (/ l d)) (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (* (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (* (/ (sqrt d) (sqrt (* h (/ l d)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ 1/2 d) M) D) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* D (/ M d)) (sqrt (* h (/ l d))) (* h (/ l d)))
9.0ms	h	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 1/2)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (* (/ 1 (/ (sqrt (/ l d)) (sqrt (/ d h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ l d)) (sqrt (/ d h))) (sqrt (/ l d)) (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (* (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (* (/ (sqrt d) (sqrt (* h (/ l d)))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ 1/2 d) M) D) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* D (/ M d)) (sqrt (* h (/ l d))) (* h (/ l d)))

simplify205.0ms (1.2%)

Memory

-0.5MiB live, 220.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	266	1251
1	757	1159
2	2728	1146
3	6515	1139
0	8511	1107

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 70

Calls

Call 1

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

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

rewrite194.0ms (1.2%)

Memory

8.7MiB live, 242.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	354
0	109	361
1	365	306
2	2690	288
0	8357	288

Stop Event

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

Counts

25 → 1 135

Calls

Call 1

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

Outputs
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eval192.0ms (1.1%)

Memory: -11.8MiB live, 229.6MiB allocated
Compiler: Compiled 42 477 to 3 477 computations (91.8% saved)

prune102.0ms (0.6%)

Memory

-11.0MiB live, 149.8MiB allocated

Pruning

51 alts after pruning (50 fresh and 1 done)

	Pruned	Kept	Total
New	1 058	34	1 092
Fresh	25	16	41
Picked	4	1	5
Done	0	0	0
Total	1 087	51	1 138

Accuracy

95.5%

Counts

1 138 → 51

Alt Table

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Status	Accuracy	Program
	32.7%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	32.8%	(/.f64 (.f64 (sqrt.f64 d) (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (/.f64 l d) h)))
	36.5%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 h))
	36.5%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	54.0%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)))
	29.6%	(.f64 (/.f64 (sqrt.f64 (.f64 d (/.f64 d h))) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	51.5%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	24.8%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	35.5%	(.f64 (/.f64 (sqrt.f64 d) (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 h d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
▶	2.8%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	3.2%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	32.8%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 h (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 M (*.f64 #s(literal 1/4 binary64) D)) (/.f64 d h)))))
	34.4%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 h (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #s(approx (/ ( (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))))))
	14.1%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 h (/.f64 l d)))) #s(approx (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))))
	10.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) #s(approx (sqrt (/ d h)) (neg.f64 (sqrt.f64 (/.f64 d h)))))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	27.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (/ l d)) (sqrt (/ d h))) (/.f64 (sqrt.f64 (.f64 l h)) (neg.f64 d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	27.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (/ l d)) (sqrt (/ d h))) (/.f64 (sqrt.f64 (.f64 l h)) d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	65.3%	(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	41.6%	(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
▶	37.4%	(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	67.0%	(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	29.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 h (/.f64 (.f64 D D) d))) (*.f64 M M) #s(literal 1 binary64))))
	29.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 h (/.f64 (.f64 D D) d))) (*.f64 M M) #s(literal 1 binary64))))
	20.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	41.7%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
▶	68.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	66.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64)))
	65.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (fma.f64 (.f64 (/.f64 D l) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)))
	68.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (.f64 M (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (/.f64 #s(literal -1 binary64) h)))))
	30.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))))
	58.2%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	27.8%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	40.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	21.1%	(.f64 #s(approx ( (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))))) h)) (sqrt.f64 (/.f64 d l)))
	33.5%	(.f64 #s(approx ( (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	41.0%	#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 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
	18.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 (*.f64 (/.f64 l d) h)))))
▶	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	27.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
	4.1%	#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 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.7%	#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 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
✓	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	26.7%	#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))
	27.1%	#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(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d (*.f64 (/.f64 l d) h))))
	17.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h))) d (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 M M) D) (/.f64 D d))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
▶	18.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (*.f64 M M) D) (/.f64 D d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	18.1%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) d))))

Compiler

Compiled 4 064 to 2 904 computations (28.5% saved)

simplify183.0ms (1.1%)

Memory

26.4MiB live, 181.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	537
0	134	539
1	257	539
2	743	531
3	4034	505
0	8291	501

Stop Event

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

Calls

Call 1

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

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

localize303.0ms (1.8%)

Memory

-10.4MiB live, 314.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(sqrt.f64 (neg.f64 l))
accuracy	0.0	(sqrt.f64 (neg.f64 d))
accuracy	0.0	(neg.f64 l)
accuracy	0.0	(neg.f64 d)
accuracy	0.0	(*.f64 M M)
accuracy	0.0	(.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 M M) D) (/.f64 D d)))
accuracy	0.0	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	0.0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (*.f64 M M) D) (/.f64 D d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
accuracy	0.0	(sqrt.f64 (*.f64 (/.f64 h d) (neg.f64 l)))
accuracy	0.0	(sqrt.f64 d)
accuracy	0.0	(neg.f64 l)
accuracy	0.0	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	0.0	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	0.0	(*.f64 l h)
accuracy	0.0	(sqrt.f64 (*.f64 l h))
accuracy	0.0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	0.0	(*.f64 #s(literal 1/4 binary64) D)
accuracy	0.0	(sqrt.f64 (/.f64 d l))
accuracy	0.0	(sqrt.f64 (/.f64 d h))
accuracy	0.0	(neg.f64 D)

Samples

253.0ms

256×

invalid

Compiler

Compiled 1 079 to 168 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-mult: 110.0ms (50.9% of total)

ival-div: 57.0ms (26.4% of total)

ival-sqrt: 18.0ms (8.3% of total)

ival-pow: 15.0ms (6.9% of total)

ival-pow2: 5.0ms (2.3% of total)

ival-sub: 4.0ms (1.9% of total)

ival-neg: 3.0ms (1.4% of total)

ival-add: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series160.0ms (1%)

Memory

7.5MiB live, 232.4MiB allocated

Counts

30 → 98

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
35.0ms	d	@	inf	((* (neg D) (* (/ 1/2 d) M)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1)) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (/ (sqrt d) (sqrt (* (/ h d) (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt d) (sqrt (* (/ h d) (neg l)))) (sqrt d) (sqrt (* (/ h d) (neg l))) (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/8 (* (* (* M M) D) (/ D d))) (sqrt (/ h (pow l 3)))) (* 1/8 (* (* (* M M) D) (/ D d))) (* (* (* M M) D) (/ D d)) (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (* (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (/ (sqrt (neg d)) (sqrt (neg l)))) (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (neg D) (sqrt (/ d h)) (* 1/4 D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg l) (sqrt (/ h (pow l 3))) (* M M) (neg d) (sqrt (neg d)) (sqrt (neg l)))
21.0ms	h	@	0	((* (neg D) (* (/ 1/2 d) M)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1)) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (/ (sqrt d) (sqrt (* (/ h d) (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt d) (sqrt (* (/ h d) (neg l)))) (sqrt d) (sqrt (* (/ h d) (neg l))) (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/8 (* (* (* M M) D) (/ D d))) (sqrt (/ h (pow l 3)))) (* 1/8 (* (* (* M M) D) (/ D d))) (* (* (* M M) D) (/ D d)) (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (* (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (/ (sqrt (neg d)) (sqrt (neg l)))) (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (neg D) (sqrt (/ d h)) (* 1/4 D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg l) (sqrt (/ h (pow l 3))) (* M M) (neg d) (sqrt (neg d)) (sqrt (neg l)))
12.0ms	l	@	-inf	((* (neg D) (* (/ 1/2 d) M)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1)) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (/ (sqrt d) (sqrt (* (/ h d) (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt d) (sqrt (* (/ h d) (neg l)))) (sqrt d) (sqrt (* (/ h d) (neg l))) (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/8 (* (* (* M M) D) (/ D d))) (sqrt (/ h (pow l 3)))) (* 1/8 (* (* (* M M) D) (/ D d))) (* (* (* M M) D) (/ D d)) (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (* (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (/ (sqrt (neg d)) (sqrt (neg l)))) (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (neg D) (sqrt (/ d h)) (* 1/4 D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg l) (sqrt (/ h (pow l 3))) (* M M) (neg d) (sqrt (neg d)) (sqrt (neg l)))
9.0ms	d	@	-inf	((* (neg D) (* (/ 1/2 d) M)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1)) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (/ (sqrt d) (sqrt (* (/ h d) (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt d) (sqrt (* (/ h d) (neg l)))) (sqrt d) (sqrt (* (/ h d) (neg l))) (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/8 (* (* (* M M) D) (/ D d))) (sqrt (/ h (pow l 3)))) (* 1/8 (* (* (* M M) D) (/ D d))) (* (* (* M M) D) (/ D d)) (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (* (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (/ (sqrt (neg d)) (sqrt (neg l)))) (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (neg D) (sqrt (/ d h)) (* 1/4 D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg l) (sqrt (/ h (pow l 3))) (* M M) (neg d) (sqrt (neg d)) (sqrt (neg l)))
9.0ms	d	@	0	((* (neg D) (* (/ 1/2 d) M)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1)) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (/ (sqrt d) (sqrt (* (/ h d) (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt d) (sqrt (* (/ h d) (neg l)))) (sqrt d) (sqrt (* (/ h d) (neg l))) (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/8 (* (* (* M M) D) (/ D d))) (sqrt (/ h (pow l 3)))) (* 1/8 (* (* (* M M) D) (/ D d))) (* (* (* M M) D) (/ D d)) (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (* (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (/ (sqrt (neg d)) (sqrt (neg l)))) (* (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (neg D) (sqrt (/ d h)) (* 1/4 D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg l) (sqrt (/ h (pow l 3))) (* M M) (neg d) (sqrt (neg d)) (sqrt (neg l)))

simplify194.0ms (1.2%)

Memory

20.2MiB live, 176.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	2064
1	1148	1918
2	4085	1905
3	7799	1897
0	8141	1848

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 98

Calls

Call 1

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

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

rewrite223.0ms (1.3%)

Memory

0.6MiB live, 289.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	365
0	134	352
1	428	348
2	2769	320
0	8921	316

Stop Event

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

Counts

30 → 1 144

Calls

Call 1

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

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

eval139.0ms (0.8%)

Memory: 14.9MiB live, 199.5MiB allocated
Compiler: Compiled 38 459 to 3 423 computations (91.1% saved)

prune161.0ms (1%)

Memory

-39.5MiB live, 243.0MiB allocated

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	931	26	957
Fresh	25	20	45
Picked	3	2	5
Done	0	1	1
Total	959	49	1 008

Accuracy

97.0%

Counts

1 008 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l)) (.f64 #s(literal 1/4 binary64) (/.f64 M d))) D)) h (/.f64 d (sqrt.f64 (.f64 h l))))
	31.7%	(fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l))) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 M d)) (.f64 D h)) (/.f64 d (sqrt.f64 (.f64 h l))))
	36.5%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l))
	33.5%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 M d)) (.f64 D h)) (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l))
	36.5%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 h))
	27.8%	(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 h l)) d))
	39.2%	(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 M d)) (.f64 D h)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 M l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	41.0%	(.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	35.5%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d l) (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	39.5%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	24.8%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
✓	2.8%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	3.2%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	34.4%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 h (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #s(approx (/ ( (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))))))
	40.1%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	10.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) #s(approx (sqrt (/ d h)) (neg.f64 (sqrt.f64 (/.f64 d h)))))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	27.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (/ l d)) (sqrt (/ d h))) (/.f64 (sqrt.f64 (.f64 l h)) (neg.f64 d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	42.5%	(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) D) l) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 M d)) D) (pow.f64 h #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	38.9%	(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/4 binary64)) (.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	67.0%	(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	29.2%	(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	20.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	41.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 d h))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	41.7%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	68.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (fma.f64 (.f64 (/.f64 #s(approx ( (neg D) (* (/ 1/2 d) M)) (.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	65.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (fma.f64 (.f64 (/.f64 D l) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)))
	15.5%	(.f64 (.f64 #s(approx (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	27.8%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	58.5%	(.f64 (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	51.7%	(.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (/.f64 d h) (neg.f64 d)))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	10.7%	(.f64 #s(approx ( (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	33.5%	(.f64 #s(approx ( (+ (* -1/2 (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2)))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	40.1%	(.f64 #s(approx ( (sqrt (/ d l)) (sqrt (/ d h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
	41.0%	#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 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
	18.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 (*.f64 (/.f64 l d) h)))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (.f64 (.f64 h l) (*.f64 h l)) #s(literal 1/4 binary64))))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.7%	#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 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
✓	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	26.7%	#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))
	27.1%	#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(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d (*.f64 (/.f64 l d) h))))
	23.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 M) M) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 (/.f64 (neg.f64 d) D) D) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (.f64 D D)))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal 1/8 binary64)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	22.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 D d) M) (*.f64 M D))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	20.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (* (sqrt (neg d)) (sqrt (/ -1 l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (*.f64 M M) D) (/.f64 D d))) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))

Compiler

Compiled 6 896 to 2 037 computations (70.5% saved)

regimes308.0ms (1.8%)

Memory

8.6MiB live, 422.8MiB allocated

Counts

129 → 4

Calls

Call 1

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

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

Calls

7 calls:

60.0ms	d
53.0ms	D
40.0ms	h
39.0ms	l
37.0ms	(.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
87.2%	4	`d`
85.6%	3	`h`
83.5%	2	`l`
68.6%	1	`M`
68.6%	1	`D`
75.4%	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))))`
68.6%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes120.0ms (0.7%)

Memory

7.4MiB live, 89.8MiB allocated

Counts

93 → 4

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	h
28.0ms	d
25.0ms	l

Results

Accuracy	Segments	Branch
82.6%	2	`l`
84.8%	3	`h`
86.4%	4	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes99.0ms (0.6%)

Memory

-2.7MiB live, 72.5MiB allocated

Counts

77 → 4

Calls

Call 1

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

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

Calls

2 calls:

65.0ms	h
29.0ms	d

Results

Accuracy	Segments	Branch
82.4%	2	`h`
85.9%	4	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes130.0ms (0.8%)

Memory

-27.8MiB live, 57.5MiB allocated

Counts

62 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

78.0ms	d
18.0ms	l

Results

Accuracy	Segments	Branch
82.4%	2	`l`
84.0%	3	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes76.0ms (0.5%)

Memory

21.6MiB live, 60.3MiB allocated

Counts

51 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

44.0ms	h
15.0ms	d
15.0ms	l

Results

Accuracy	Segments	Branch
82.4%	3	`h`
80.5%	2	`l`
80.5%	2	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes62.0ms (0.4%)

Memory

15.0MiB live, 51.8MiB allocated

Counts

48 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

46.0ms	h
14.0ms	l

Results

Accuracy	Segments	Branch
80.5%	2	`l`
80.5%	2	`h`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes67.0ms (0.4%)

Memory

-8.8MiB live, 79.3MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

26.0ms	l
25.0ms	h
13.0ms	d

Results

Accuracy	Segments	Branch
78.1%	2	`d`
80.4%	3	`h`
80.1%	3	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes113.0ms (0.7%)

Memory

-21.6MiB live, 54.3MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

74.0ms	h
25.0ms	d
12.0ms	l

Results

Accuracy	Segments	Branch
78.1%	2	`d`
78.1%	2	`l`
78.1%	2	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes90.0ms (0.5%)

Memory

-9.4MiB live, 36.9MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

66.0ms	d
11.0ms	l
11.0ms	h

Results

Accuracy	Segments	Branch
78.0%	2	`d`
78.0%	2	`h`
78.0%	2	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes61.0ms (0.4%)

Memory

-2.4MiB live, 37.0MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

29.0ms	(.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))))
10.0ms	d
10.0ms	l
10.0ms	h

Results

Accuracy	Segments	Branch
70.4%	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))))`
73.5%	3	`d`
71.3%	2	`h`
71.3%	2	`l`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes87.0ms (0.5%)

Memory

9.5MiB live, 48.2MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

39.0ms	D
9.0ms	M
9.0ms	d
9.0ms	h
9.0ms	l

Results

Accuracy	Segments	Branch
60.6%	2	`M`
61.6%	2	`D`
61.4%	2	`(*.f64 M D)`
68.5%	2	`h`
68.5%	2	`l`
70.7%	3	`d`

Compiler

Compiled 8 to 31 computations (-287.5% saved)

regimes72.0ms (0.4%)

Memory

-5.5MiB live, 33.2MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

46.0ms	h
8.0ms	l
8.0ms	d
8.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
63.7%	3	`h`
65.9%	3	`l`
57.6%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
63.9%	3	`d`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes9.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
65.0%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes80.0ms (0.5%)

Memory

-5.8MiB live, 36.8MiB allocated

Counts

25 → 4

Calls

Call 1

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

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

Calls

7 calls:

33.0ms	(.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))))
8.0ms	M
8.0ms	D
8.0ms	d
8.0ms	l

Results

Accuracy	Segments	Branch
54.4%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
42.3%	2	`M`
45.7%	2	`(*.f64 M D)`
42.1%	3	`D`
49.6%	3	`h`
49.0%	3	`d`
50.9%	3	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes71.0ms (0.4%)

Memory

14.3MiB live, 50.4MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

#s(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

5 calls:

42.0ms	d
7.0ms	l
7.0ms	h
7.0ms	(*.f64 M D)
7.0ms	(.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
36.9%	2	`(*.f64 M D)`
45.1%	2	`d`
45.6%	2	`h`
45.7%	2	`l`
44.5%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 41 to 43 computations (-4.9% saved)

regimes8.0ms (0%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	l
4.0ms	h

Results

Accuracy	Segments	Branch
45.5%	2	`h`
45.6%	2	`l`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes15.0ms (0.1%)

Memory

-18.6MiB live, 17.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

10.0ms	h
2.0ms	d
2.0ms	l

Results

Accuracy	Segments	Branch
43.6%	2	`d`
43.3%	2	`h`
43.4%	2	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes13.0ms (0.1%)

Memory

29.3MiB live, 29.3MiB allocated

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
27.8%	1	`(*.f64 M D)`
27.8%	1	`D`
27.8%	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))))`
27.8%	1	`M`
27.8%	1	`h`
27.8%	1	`l`
27.8%	1	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch233.0ms (1.4%)

Memory

-40.3MiB live, 203.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
80.0ms	1.68773554434549e-267	2.5786669592308807e-247
40.0ms	-1.4494325956646902e-298	-1.3537300872367278e-299
32.0ms	-1.0947501042877587e-216	-7.492194258663285e-218

Samples

67.0ms	368×	0	valid
58.0ms	363×	0	invalid

Compiler

Compiled 1 323 to 1 148 computations (13.2% saved)

Precisions

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

ival-div: 28.0ms (33.9% of total)

ival-mult: 26.0ms (31.5% of total)

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

ival-pow2: 7.0ms (8.5% of total)

ival-sub: 4.0ms (4.8% of total)

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

exact: 1.0ms (1.2% of total)

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

bsearch29.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
2.0ms	1.68773554434549e-267	2.5786669592308807e-247
1.0ms	-1.4494325956646902e-298	-1.3537300872367278e-299
22.0ms	-1.0947501042877587e-216	-7.492194258663285e-218

Samples

10.0ms	64×	0	valid
6.0ms	54×	0	invalid

Compiler

Compiled 1 329 to 1 154 computations (13.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (32.5% of total)

ival-mult: 4.0ms (32.5% of total)

ival-pow: 3.0ms (24.4% of total)

ival-sub: 1.0ms (8.1% of total)

ival-pow2: 1.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
2.0ms	1.68773554434549e-267	2.5786669592308807e-247
1.0ms	-1.4494325956646902e-298	-1.3537300872367278e-299
1.0ms	-1.0947501042877587e-216	-7.492194258663285e-218

Compiler

Compiled 1 401 to 1 178 computations (15.9% saved)

bsearch3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.4494325956646902e-298	-1.3537300872367278e-299
1.0ms	-1.0947501042877587e-216	-7.492194258663285e-218

Compiler

Compiled 848 to 684 computations (19.3% saved)

bsearch156.0ms (0.9%)

Memory

-10.2MiB live, 188.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
99.0ms	-3.0613780787018685e-288	7.715470794019455e-304
43.0ms	-1.4930036844063738e+178	-1.8922978844398216e+177

Samples

53.0ms	272×	0	valid
36.0ms	255×	0	invalid

Compiler

Compiled 1 116 to 881 computations (21.1% saved)

Precisions

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

ival-mult: 23.0ms (33% of total)

ival-div: 18.0ms (25.8% of total)

ival-pow: 17.0ms (24.4% of total)

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

ival-pow2: 5.0ms (7.2% of total)

exact: 1.0ms (1.4% of total)

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

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

bsearch139.0ms (0.8%)

Memory

-6.5MiB live, 113.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
132.0ms	-8.458463533850884e-307	2.0771061737561914e-303

Samples

61.0ms	164×	0	invalid
23.0ms	144×	0	valid

Compiler

Compiled 614 to 498 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 48.0ms (66.6% of total)

ival-mult: 10.0ms (13.9% of total)

ival-pow: 9.0ms (12.5% of total)

ival-pow2: 3.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
2.0ms	-3.0613780787018685e-288	7.715470794019455e-304
6.0ms	-1.4930036844063738e+178	-1.8922978844398216e+177

Samples

2.0ms	16×	0	valid
2.0ms	14×	0	invalid

Compiler

Compiled 826 to 673 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (29.7% of total)

ival-mult: 1.0ms (29.7% of total)

ival-pow: 1.0ms (29.7% 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)

ival-pow2: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-3.0613780787018685e-288	7.715470794019455e-304

Compiler

Compiled 698 to 569 computations (18.5% saved)

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-8.458463533850884e-307	2.0771061737561914e-303

Compiler

Compiled 650 to 516 computations (20.6% saved)

bsearch100.0ms (0.6%)

Memory

-8.5MiB live, 70.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.4494325956646902e-298	-1.3537300872367278e-299
92.0ms	-5.3315605209142036e+153	-7.983521288701165e+147

Samples

34.0ms	164×	0	invalid
23.0ms	144×	0	valid

Compiler

Compiled 1 067 to 831 computations (22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 25.0ms (54.4% of total)

ival-mult: 10.0ms (21.7% of total)

ival-pow: 6.0ms (13% of total)

ival-pow2: 3.0ms (6.5% of total)

ival-sub: 2.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch60.0ms (0.4%)

Memory

-9.1MiB live, 28.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
54.0ms	-1.4494325956646902e-298	-1.3537300872367278e-299
2.0ms	-5.3315605209142036e+153	-7.983521288701165e+147

Samples

35.0ms	67×	0	invalid
13.0ms	80×	0	valid

Compiler

Compiled 1 061 to 825 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 5.0ms (32% of total)

ival-mult: 5.0ms (32% of total)

ival-pow: 3.0ms (19.2% of total)

ival-sub: 1.0ms (6.4% of total)

ival-pow2: 1.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch74.0ms (0.4%)

Memory

12.9MiB live, 54.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-8.458463533850884e-307	2.0771061737561914e-303
66.0ms	-4.996919745847436e-8	-1.9592986132963282e-14

Samples

34.0ms	129×	0	invalid
22.0ms	144×	0	valid

Compiler

Compiled 1 703 to 1 236 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-pow: 25.0ms (53.3% of total)

ival-div: 9.0ms (19.2% of total)

ival-mult: 8.0ms (17.1% of total)

ival-pow2: 3.0ms (6.4% of total)

ival-sub: 1.0ms (2.1% 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

5.1MiB live, 5.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-8.458463533850884e-307	2.0771061737561914e-303
2.0ms	-4.996919745847436e-8	-1.9592986132963282e-14

Compiler

Compiled 1 694 to 1 227 computations (27.6% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.4136599325553185e+301	+inf
0.0ms	-4.982424825907589e-44	-1.489089902155216e-49

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch121.0ms (0.7%)

Memory

-19.0MiB live, 58.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
115.0ms	5.822317173415084e-253	1.0738650534382878e-243

Samples

82.0ms	175×	0	invalid
22.0ms	144×	0	valid

Compiler

Compiled 794 to 561 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 37.0ms (40.1% of total)

ival-pow2: 33.0ms (35.8% of total)

ival-div: 11.0ms (11.9% of total)

ival-pow: 9.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch62.0ms (0.4%)

Memory

5.1MiB live, 41.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
59.0ms	5.822317173415084e-253	1.0738650534382878e-243

Samples

12.0ms	80×	0	valid
11.0ms	81×	0	invalid

Compiler

Compiled 830 to 579 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 5.0ms (27.9% of total)

ival-mult: 5.0ms (27.9% of total)

ival-pow: 5.0ms (27.9% of total)

ival-pow2: 2.0ms (11.2% of total)

ival-sub: 1.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.2%)

Memory

-21.9MiB live, 23.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	9.915224727759982e-51	1.3845178170898342e-50

Samples

7.0ms	48×	0	valid
6.0ms	49×	0	invalid

Compiler

Compiled 299 to 210 computations (29.8% saved)

Precisions

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

ival-div: 3.0ms (30.7% of total)

ival-mult: 3.0ms (30.7% of total)

ival-pow: 2.0ms (20.4% of total)

ival-pow2: 1.0ms (10.2% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify87.0ms (0.5%)

Memory

32.3MiB live, 66.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	1904
1	357	1904
2	702	1904
3	2567	1904
4	5735	1904

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -2608230395065191/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) D) l) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 M d)) D) (pow.f64 h #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (if (<=.f64 d #s(literal -2639025027213943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal 3119885634089587/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))))))
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(if (<=.f64 l #s(literal 2321606826279779/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 d #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

Outputs
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(if (<=.f64 d #s(literal -2608230395065191/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) D) l) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 M d)) D) (pow.f64 h #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (if (<=.f64 d #s(literal -2639025027213943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal 3119885634089587/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 (.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 l)) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))))))
(if (<=.f64 d #s(literal -3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 d h))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal -2639025027213943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal 3119885634089587/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))))))
(if (<=.f64 d #s(literal -3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 d h))) (fma.f64 (.f64 (/.f64 (.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 l)) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal -2639025027213943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal 3119885634089587/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 (.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 l)) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))))))
(if (<=.f64 d #s(literal -2608230395065191/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 d h))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal -2639025027213943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) (.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal 3119885634089587/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

soundness2.1s (12.4%)

Memory

28.6MiB live, 1 910.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	50
0	34	48
1	114	48
2	719	48
3	7808	48
0	8842	47
0	266	1251
1	757	1159
2	2728	1146
3	6515	1139
0	8511	1107
0	387	2064
1	1148	1918
2	4085	1905
3	7799	1897
0	8141	1848
0	85	365
0	134	352
1	428	348
2	2769	320
0	8921	316
0	68	354
0	109	361
1	365	306
2	2690	288
0	8357	288
0	62	223
1	172	201
2	633	201
3	3332	201
4	5970	201
5	7992	201
0	8102	194
0	225	1079
1	649	979
2	2338	957
3	5263	937
0	8676	920
0	60	242
0	103	224
1	280	211
2	1584	211
0	8586	205

Stop Event

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

Compiler

Compiled 12 932 to 4 699 computations (63.7% saved)

preprocess146.0ms (0.9%)

Memory: 23.3MiB live, 253.9MiB allocated
Compiler: Compiled 4 830 to 978 computations (79.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze536.0ms (3.2%)

sample6.5s (38.5%)

explain328.0ms (2%)

preprocess156.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify146.0ms (0.9%)

localize77.0ms (0.5%)

series53.0ms (0.3%)

simplify144.0ms (0.9%)

rewrite191.0ms (1.1%)

eval59.0ms (0.4%)

prune33.0ms (0.2%)

simplify126.0ms (0.8%)

localize246.0ms (1.5%)

series81.0ms (0.5%)

simplify152.0ms (0.9%)

rewrite255.0ms (1.5%)

eval216.0ms (1.3%)

prune81.0ms (0.5%)

simplify132.0ms (0.8%)

localize269.0ms (1.6%)

series141.0ms (0.8%)

simplify205.0ms (1.2%)

rewrite194.0ms (1.2%)

eval192.0ms (1.1%)

prune102.0ms (0.6%)

simplify183.0ms (1.1%)

localize303.0ms (1.8%)

series160.0ms (1%)

simplify194.0ms (1.2%)

rewrite223.0ms (1.3%)

eval139.0ms (0.8%)

prune161.0ms (1%)

regimes308.0ms (1.8%)

regimes120.0ms (0.7%)

regimes99.0ms (0.6%)

regimes130.0ms (0.8%)

regimes76.0ms (0.5%)

regimes62.0ms (0.4%)

regimes67.0ms (0.4%)

regimes113.0ms (0.7%)

regimes90.0ms (0.5%)

regimes61.0ms (0.4%)

regimes87.0ms (0.5%)

regimes72.0ms (0.4%)

regimes9.0ms (0.1%)

regimes80.0ms (0.5%)

regimes71.0ms (0.4%)

regimes8.0ms (0%)

regimes15.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch233.0ms (1.4%)

bsearch29.0ms (0.2%)

bsearch6.0ms (0%)

bsearch3.0ms (0%)

bsearch156.0ms (0.9%)

bsearch139.0ms (0.8%)

bsearch10.0ms (0.1%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

bsearch100.0ms (0.6%)

bsearch60.0ms (0.4%)

bsearch74.0ms (0.4%)

bsearch4.0ms (0%)

bsearch1.0ms (0%)

bsearch121.0ms (0.7%)

bsearch62.0ms (0.4%)

bsearch30.0ms (0.2%)

simplify87.0ms (0.5%)

soundness2.1s (12.4%)

preprocess146.0ms (0.9%)

end0.0ms (0%)

Profiling