Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze500.0ms (3.4%)

Memory

39.3MiB live, 851.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.6s (37.8%)

Memory

111.4MiB live, 6 733.6MiB allocated

Samples

2.6s	13 446×	0	invalid
1.8s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-div: 1.2s (36.8% of total)

ival-mult: 863.0ms (26% of total)

ival-pow: 812.0ms (24.5% of total)

ival-pow2: 230.0ms (6.9% of total)

ival-sub: 142.0ms (4.3% of total)

exact: 23.0ms (0.7% of total)

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

ival-assert: 9.0ms (0.3% of total)

Bogosity

explain438.0ms (2.9%)

Memory

-34.6MiB live, 724.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	1	(-7.903891670925964e-291 -1.9734959981927268e+30 -2.1155316024691892e-212 -3.3673943209215886e+28 -4.7894044589800537e+170)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
55	-	0	-	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
32	-	1	(1.7602100977812515e-123 1.661159662341786e+28 1.3851384446521672e-35 6.007467267293721e-42 1.1465262447145222e-238)	`(.f64 (.f64 (/.f64 #s(literal 1 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	(5.116838186142037e-101 7.436060402965337e-118 9.582403122192074e-250 -1.6180417704007768e-140 1.3010124666135563e-174)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
19	-	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	36	0
↳	`(/.f64 d h)`	overflow	36
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	36	0
↳	`(/.f64 d l)`	overflow	36
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	27	0
↳	`(/.f64 d h)`	underflow	27
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	19	0
↳	`(/.f64 d l)`	underflow	19
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	15	0
↳	`(*.f64 M D)`	overflow	31
`*.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**	11	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	10	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	8	0
↳	`(/.f64 d h)`	underflow	27
↳	`(/.f64 d l)`	underflow	19
↳	`(*.f64 (pow.f64 (/.f64 d 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	10
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	76
↳	`(/.f64 h l)`	overflow	30
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	77
↳	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	overflow	77
↳	`(*.f64 M D)`	overflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	37
↳	`(.f64 (/.f64 #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	76
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
`*.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**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	91
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	91
↳	`(*.f64 M D)`	underflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	51
↳	`(/.f64 h l)`	overflow	30
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	76
↳	`(*.f64 M D)`	overflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	37
↳	`(.f64 (/.f64 #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	76
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(/.f64 h l)`	underflow	20
`*.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**	1	0

Confusion

	Predicted +	Predicted -
+	79	0
-	41	136

Precision

0.6583333333333333

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	79	0	0
-	41	0	136

Precision?

0.6583333333333333

Recall?

1.0

Freqs

test

number	freq
0	136
1	81
2	30
3	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

118.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

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

ival-pow: 20.0ms (31% of total)

ival-div: 18.0ms (27.9% of total)

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

ival-pow2: 5.0ms (7.8% of total)

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

ival-true: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

preprocess203.0ms (1.4%)

Memory

5.4MiB live, 308.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	514	553
2	1813	548
3	4797	548
0	22	29
0	38	27
1	67	27
2	170	27
3	1133	27
4	3660	27
5	6066	27
0	8129	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 l))) (sqrt.f64 (/.f64 d h)))

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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

▶

69.9%

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

simplify261.0ms (1.7%)

Memory

-13.4MiB live, 287.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	170	126
3	1133	126
4	3660	126
5	6066	126
0	8129	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 l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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)

localize60.0ms (0.4%)

Memory

42.8MiB live, 136.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	4.795545778974968	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	7.336272418986066	(.f64 (.f64 (/.f64 #s(literal 1 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	13.021173188284314	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.072756244553313	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

47.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

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

ival-pow: 11.0ms (33.2% of total)

ival-div: 9.0ms (27.2% of total)

ival-mult: 9.0ms (27.2% of total)

ival-pow2: 3.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.3%)

Memory

-14.6MiB live, 85.3MiB allocated

Counts

6 → 17

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(/.f64 (.f64 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
8.0ms	d	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	M	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	l	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
3.0ms	d	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))

simplify96.0ms (0.6%)

Memory

-19.3MiB live, 165.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	223
1	165	201
2	612	201
3	3951	201
0	8151	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 D D) #s(literal -1/8 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) 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 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) 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 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) 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 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) #s(literal 1 binary64))
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) 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 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) 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 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) #s(literal 1 binary64))

rewrite232.0ms (1.6%)

Memory

31.9MiB live, 231.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	50
0	34	48
1	100	48
2	521	48
3	6486	48
0	8448	47

Stop Event

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

Counts

6 → 325

Calls

Call 1

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

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

eval51.0ms (0.3%)

Memory: -32.3MiB live, 110.4MiB allocated
Compiler: Compiled 14 643 to 1 594 computations (89.1% saved)

prune24.0ms (0.2%)

Memory

20.2MiB live, 67.1MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	316	20	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	317	20	337

Accuracy

87.7%

Counts

337 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.8%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d 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))))
	69.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 d 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))))
▶	51.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)))
	49.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l) #s(literal 1 binary64)))
	64.5%	(.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)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) (.f64 #s(literal -2 binary64) d))))
▶	70.7%	(.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 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	68.7%	(.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 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	64.0%	(.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 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d))))
	63.8%	(.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) (.f64 (.f64 M M) (.f64 (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	57.8%	(.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)))))
▶	55.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) #s(literal 1 binary64))))
	19.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M))))
▶	42.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #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))))
	37.1%	(.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))))
	69.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	69.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 d 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))))
	39.9%	(.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))))
	40.5%	(.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))))

Compiler

Compiled 1 538 to 1 048 computations (31.9% saved)

simplify140.0ms (0.9%)

Memory

-16.6MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	685
0	128	670
1	246	634
2	818	627
3	5523	627
0	8228	614

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

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

localize274.0ms (1.8%)

Memory

0.1MiB live, 382.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.3364252356197988	(/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d))
accuracy	2.2085927852568306	(.f64 (.f64 (pow.f64 (/.f64 d 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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)))
accuracy	5.907550796013447	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.797730209100976	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	2.1884947285567833	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	2.644617420847382	(.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))))
accuracy	3.1667412572134808	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	6.797730209100976	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	3.372558782226032	(fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) #s(literal 1 binary64))
accuracy	3.3812200886705335	(.f64 (.f64 M M) h)
accuracy	5.907550796013447	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.797730209100976	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	2.644617420847382	(.f64 (.f64 (pow.f64 (/.f64 d 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	5.907550796013447	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.797730209100976	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.128288094863125	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	2.644617420847382	(.f64 (.f64 (pow.f64 (/.f64 d 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 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
accuracy	3.7987749646211943	(.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l)))
accuracy	5.907550796013447	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.797730209100976	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

85.0ms	133×	0	invalid
60.0ms	123×	0	valid

Compiler

Compiled 728 to 64 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-div: 41.0ms (37.9% of total)

ival-mult: 39.0ms (36.1% of total)

ival-pow: 11.0ms (10.2% of total)

ival-pow2: 5.0ms (4.6% of total)

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

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

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

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

exact: 1.0ms (0.9% of total)

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

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

series102.0ms (0.7%)

Memory

4.2MiB live, 188.9MiB allocated

Counts

17 → 56

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
11.0ms	h	@	-inf	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (/ (* (* D D) -1/8) d) (/ (/ (* (* M M) h) l) d)) 1) (- 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 M) 2) 1/2) (* -2 d)) (* (/ (/ D d) 2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* M M) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)))
10.0ms	d	@	-inf	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (/ (* (* D D) -1/8) d) (/ (/ (* (* M M) h) l) d)) 1) (- 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 M) 2) 1/2) (* -2 d)) (* (/ (/ D d) 2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* M M) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)))
10.0ms	M	@	-inf	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (/ (* (* D D) -1/8) d) (/ (/ (* (* M M) h) l) d)) 1) (- 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 M) 2) 1/2) (* -2 d)) (* (/ (/ D d) 2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* M M) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)))
8.0ms	l	@	0	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (/ (* (* D D) -1/8) d) (/ (/ (* (* M M) h) l) d)) 1) (- 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 M) 2) 1/2) (* -2 d)) (* (/ (/ D d) 2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* M M) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)))
7.0ms	d	@	0	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (/ (* (* D D) -1/8) d) (/ (/ (* (* M M) h) l) d)) 1) (- 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 M) 2) 1/2) (* -2 d)) (* (/ (/ D d) 2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* M M) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)))

simplify779.0ms (5.2%)

Memory

-138.8MiB live, 198.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	1154
1	670	1082
2	2678	1063
0	8308	1033

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 56

Calls

Call 1

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

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

rewrite173.0ms (1.2%)

Memory

34.1MiB live, 219.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	266
0	124	254
1	352	234
2	2388	230
0	8128	225

Stop Event

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

Counts

17 → 455

Calls

Call 1

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

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

eval105.0ms (0.7%)

Memory: -24.0MiB live, 218.6MiB allocated
Compiler: Compiled 24 613 to 1 982 computations (91.9% saved)

prune40.0ms (0.3%)

Memory

13.0MiB live, 111.4MiB allocated

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	549	28	577
Fresh	15	0	15
Picked	5	0	5
Done	0	0	0
Total	569	28	597

Accuracy

95.1%

Counts

597 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.9%	(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 l)))
	52.1%	(.f64 (fma.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 (neg.f64 h) l) d) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
▶	74.7%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	42.4%	(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	44.8%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	70.0%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	70.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	36.7%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 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))))
	71.5%	(.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)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 h M)) (.f64 #s(literal 2 binary64) l)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	68.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 h M) D) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
▶	28.5%	(.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 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal 1 binary64))))
	38.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	70.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	12.0%	(.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))))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)))
▶	7.6%	(.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)))
	22.5%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	25.0%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (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 (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))))
	42.6%	(.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	47.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #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))
	18.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	27.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (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))
	16.7%	#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 (/.f64 (.f64 M M) d) (*.f64 D D)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	14.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) (.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
▶	35.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (.f64 D D)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (*.f64 D D)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))

Compiler

Compiled 2 314 to 1 622 computations (29.9% saved)

simplify122.0ms (0.8%)

Memory

1.1MiB live, 278.5MiB 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 (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 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal 1 binary64))))
cost-diff	1	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	2	(fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal 1 binary64))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (.f64 D D)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (.f64 D D)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (.f64 D D)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
cost-diff	2	(.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (.f64 D D))
cost-diff	0	(*.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)))))
cost-diff	0	(.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)))
cost-diff	1	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 l h))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
cost-diff	0	(pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	618
0	140	605
1	281	589
2	850	586
3	4431	586
0	8368	582

Stop Event

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

Calls

Call 1

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

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

localize235.0ms (1.6%)

Memory

-12.8MiB live, 516.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.520704126495751	(/.f64 (*.f64 M M) d)
accuracy	2.644617420847382	(.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 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal 1 binary64))))
accuracy	5.862977018025046	(fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal 1 binary64))
accuracy	6.797730209100976	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	5.210070297894281	(fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (.f64 D D)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy	5.71258947222082	(sqrt.f64 (/.f64 h l))
accuracy	6.997593801806854	(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
accuracy	7.427627881094136	(.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (.f64 D D))
accuracy	5.907550796013447	(sqrt.f64 (/.f64 d l))
accuracy	6.797730209100976	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.128288094863125	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	30.25952167942866	#s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))
accuracy	0.09375	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.40907610249301785	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	5.945023394339527	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	29.509329822127338	#s(approx (* (* (pow (/ d h) (/ 1 2)) (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	2.3958236773780173	(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))
accuracy	2.4426721349753424	(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
accuracy	2.644617420847382	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
accuracy	5.983656209808224	(sqrt.f64 (*.f64 h l))

Samples

82.0ms	123×	0	valid
79.0ms	133×	0	invalid

Compiler

Compiled 571 to 83 computations (85.5% saved)

Precisions

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

ival-mult: 46.0ms (36% of total)

ival-div: 29.0ms (22.7% of total)

ival-pow: 15.0ms (11.7% of total)

ival-sqrt: 13.0ms (10.2% of total)

ival-pow2: 8.0ms (6.3% of total)

ival-neg: 6.0ms (4.7% of total)

ival-add: 5.0ms (3.9% of total)

ival-sub: 4.0ms (3.1% of total)

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

exact: 1.0ms (0.8% of total)

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

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

series149.0ms (1%)

Memory

9.9MiB live, 244.4MiB allocated

Counts

26 → 92

Calls

Call 1

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

Outputs
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (fabs d))) (sqrt (/ h (pow l 3))))) (* (* (pow d 2) (fabs d)) (sqrt (/ 1 (* h l))))) (pow d 2))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d h))
(* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3)))))
(+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3)))))
(+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))
(* 1/2 (/ (* D M) d))
(sqrt (/ d l))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (pow M 2) d)
(* (sqrt (/ 1 (* h l))) (fabs d))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (fabs 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 (* h l))) (* 1/4 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
(* d (sqrt (/ h l)))
(* d (+ (sqrt (/ h l)) (* 1/4 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* 1/4 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* -1/4 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ h l))) (* -1/4 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))))
(* -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 l)) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (sqrt (/ h l)) (fabs d))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (/ 1 (* h l)))
(/ 1 (* h l))
(/ (+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (* h l))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ h l))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* (sqrt (/ 1 (* (pow h 3) l))) (fabs d))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* (pow h 2) (+ (* 1/4 (* (* (pow D 2) (pow M 2)) (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)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ 1 (* (pow h 3) l))) (fabs d))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (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))) 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))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* 1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))
(* 1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))
(* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3))))))))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (sqrt (* h l)))) (* (sqrt (/ (pow l 3) h)) (fabs d))) (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)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (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)) 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)))))
(+ (* 1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))
(+ (* -1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(* 1/4 (* (pow D 2) (pow M 2)))
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (fabs d)) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (/ (fabs 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) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* 1/4 (* (pow D 2) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* 1/4 (* (pow D 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) (fabs d)) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (/ (fabs 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) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* 1/4 (* (pow M 2) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* 1/4 (* (pow M 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h 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
35.0ms	D	@	-inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* 1/4 (* M M)) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/ (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (+ (* (/ (* -1/8 (* D D)) l) (* (/ (/ (* M M) d) d) h)) 1) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* h l)) (* M (/ (/ D d) 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ d l)) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (/ (* M M) d))
22.0ms	l	@	0	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* 1/4 (* M M)) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/ (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (+ (* (/ (* -1/8 (* D D)) l) (* (/ (/ (* M M) d) d) h)) 1) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* h l)) (* M (/ (/ D d) 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ d l)) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (/ (* M M) d))
10.0ms	d	@	-inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* 1/4 (* M M)) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/ (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (+ (* (/ (* -1/8 (* D D)) l) (* (/ (/ (* M M) d) d) h)) 1) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* h l)) (* M (/ (/ D d) 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ d l)) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (/ (* M M) d))
9.0ms	l	@	-inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* 1/4 (* M M)) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/ (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (+ (* (/ (* -1/8 (* D D)) l) (* (/ (/ (* M M) d) d) h)) 1) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* h l)) (* M (/ (/ D d) 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ d l)) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (/ (* M M) d))
9.0ms	d	@	0	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* 1/4 (* M M)) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/ (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (+ (* (/ (* -1/8 (* D D)) l) (* (/ (/ (* M M) d) d) h)) 1) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* h l)) (* M (/ (/ D d) 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ d l)) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (/ (* M M) d))

simplify155.0ms (1%)

Memory

45.1MiB live, 133.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	1963
1	1028	1842
2	4210	1807
0	8403	1759

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 92

Calls

Call 1

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

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

rewrite296.0ms (2%)

Memory

-14.2MiB live, 221.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	415
0	140	397
1	444	373
2	2762	365
0	9467	365

Stop Event

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

Counts

26 → 544

Calls

Call 1

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

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

eval157.0ms (1.1%)

Memory: 15.5MiB live, 208.0MiB allocated
Compiler: Compiled 30 618 to 2 755 computations (91% saved)

prune112.0ms (0.8%)

Memory

-20.4MiB live, 122.1MiB allocated

Pruning

42 alts after pruning (41 fresh and 1 done)

	Pruned	Kept	Total
New	616	23	639
Fresh	5	18	23
Picked	4	1	5
Done	0	0	0
Total	625	42	667

Accuracy

95.6%

Counts

667 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.9%	(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 l)))
	43.8%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (.f64 (sqrt.f64 l) (sqrt.f64 h))))
▶	75.1%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	64.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (neg.f64 D) M) (.f64 D M)) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	75.1%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D M) (.f64 #s(literal -2 binary64) d)) (/.f64 (.f64 D M) (.f64 #s(literal -2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	60.5%	(.f64 (fma.f64 #s(approx ( -1/2 (pow (* M (/ (/ D d) 2)) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	42.4%	(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	44.2%	(.f64 (/.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 h)) (/.f64 d (sqrt.f64 l)))
	44.8%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	70.3%	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	70.0%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	9.4%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 2 binary64)) #s(literal 1/4 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)))
	36.7%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 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))))
	71.5%	(.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)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 h M)) (.f64 #s(literal 2 binary64) l)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	68.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 h M) D) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
▶	70.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	12.0%	(.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))))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) (/.f64 (neg.f64 h) l) #s(literal 1 binary64)))
	22.5%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	3.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #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)))
	25.0%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (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)))
	3.9%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) #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)))
	28.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.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 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal 1 binary64))))
	7.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) #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)))
	7.6%	(.f64 (.f64 (exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 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)))
	42.6%	(.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	28.8%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	47.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #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))
	18.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 d #s(literal 1 binary64)) (sqrt.f64 (.f64 l h))))
	27.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (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))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
	28.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
▶	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	16.7%	#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 (/.f64 (.f64 M M) d) (*.f64 D D)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
✓	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	43.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	40.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (.f64 D D)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
▶	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/.f64 #s(approx (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (*.f64 M M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))))) h))
	43.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/.f64 #s(approx (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	12.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/.f64 #s(approx (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (*.f64 D D)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))

Compiler

Compiled 3 586 to 2 488 computations (30.6% saved)

simplify194.0ms (1.3%)

Memory

-5.1MiB live, 183.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	656
0	154	639
1	314	600
2	1028	596
3	4672	596
0	8479	592

Stop Event

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

Calls

Call 1

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

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

localize282.0ms (1.9%)

Memory

11.0MiB live, 294.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.644617420847382	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
accuracy	3.7987749646211943	(.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l)))
accuracy	5.907550796013447	(sqrt.f64 (/.f64 d l))
accuracy	6.797730209100976	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	5.4685471724562555	(.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (*.f64 M M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))))
accuracy	6.997593801806854	(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
accuracy	7.48487507357402	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M))
accuracy	29.374362085084137	#s(approx (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (*.f64 M M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))))
accuracy	2.644617420847382	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #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)))
accuracy	5.907550796013447	(sqrt.f64 (/.f64 d l))
accuracy	15.128288094863125	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	30.25952167942866	#s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))
accuracy	0.09375	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
accuracy	5.983656209808224	(sqrt.f64 (*.f64 l h))
accuracy	29.509329822127338	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
accuracy	2.011467212561495	(.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d)))
accuracy	2.4426721349753424	(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
accuracy	2.644617420847382	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
accuracy	5.983656209808224	(sqrt.f64 (*.f64 h l))

Samples

118.0ms	123×	0	valid
106.0ms	133×	0	invalid

Compiler

Compiled 580 to 89 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-mult: 71.0ms (38.9% of total)

ival-sqrt: 26.0ms (14.2% of total)

ival-div: 25.0ms (13.7% of total)

ival-add: 25.0ms (13.7% of total)

ival-pow: 21.0ms (11.5% of total)

ival-pow2: 7.0ms (3.8% of total)

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

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

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

exact: 1.0ms (0.5% of total)

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

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

series109.0ms (0.7%)

Memory

9.2MiB live, 206.5MiB allocated

Counts

29 → 94

Calls

Call 1

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

Outputs
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (fabs d))) (sqrt (/ h (pow l 3))))) (* (* (pow d 2) (fabs d)) (sqrt (/ 1 (* h l))))) (pow d 2))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* d (sqrt (/ 1 (* h 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)
(sqrt (/ d h))
(* (sqrt d) (sqrt -1))
(* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3)))))
(+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3)))))
(+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(sqrt (/ d l))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* (sqrt (/ 1 (* h l))) (fabs d))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (fabs 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 (* h l))) (* 1/4 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
(* d (sqrt (/ h l)))
(* d (+ (sqrt (/ h l)) (* 1/4 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* 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)))
(* -1 (* (sqrt d) (sqrt -1)))
(* -1 (* d (+ (* 1/4 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* -1/4 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ h l))) (* -1/4 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (sqrt (/ h l)) (fabs d))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (/ 1 (* h l)))
(sqrt (* h l))
(/ (+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (/ (pow h 3) (pow l 3)))
(* -1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* (sqrt (/ 1 (* (pow h 3) l))) (fabs d))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* (pow h 2) (+ (* 1/4 (* (* (pow D 2) (pow M 2)) (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)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ 1 (* (pow h 3) l))) (fabs d))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (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))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* 1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))
(* 1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))
(* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3))))))))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* -1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (fabs d))) (pow d 2)) (sqrt (* h l)))) (* (sqrt (/ (pow l 3) h)) (fabs d))) (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)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* 1/4 (* (* (pow D 2) (pow M 2)) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (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)) 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)))))
(+ (* 1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))
(+ (* -1/4 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1/4 (* (pow D 2) (pow M 2)))
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (fabs d)) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (/ (fabs 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) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* 1/4 (* (pow D 2) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* 1/4 (* (pow D 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* 1/4 D)
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) (fabs d)) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (/ (fabs 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) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* 1/4 (* (pow M 2) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* 1/4 (* (pow M 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h 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
11.0ms	d	@	-inf	((* (+ (* (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (/ h l)) 1) (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (pow (* D (/ M (* 2 d))) 2) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (neg d)) (* (* -1/4 (* D D)) (* M M)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/ (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (sqrt (* h l)) (* D (/ M (* 2 d))) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ d l)) (sqrt (pow (/ h l) 3)) (* (* (* -1/4 (* D D)) (* M M)) (sqrt (pow (/ h l) 3))) (* (/ (/ D d) 2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))))
10.0ms	h	@	-inf	((* (+ (* (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (/ h l)) 1) (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (pow (* D (/ M (* 2 d))) 2) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (neg d)) (* (* -1/4 (* D D)) (* M M)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/ (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (sqrt (* h l)) (* D (/ M (* 2 d))) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ d l)) (sqrt (pow (/ h l) 3)) (* (* (* -1/4 (* D D)) (* M M)) (sqrt (pow (/ h l) 3))) (* (/ (/ D d) 2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))))
9.0ms	l	@	-inf	((* (+ (* (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (/ h l)) 1) (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (pow (* D (/ M (* 2 d))) 2) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (neg d)) (* (* -1/4 (* D D)) (* M M)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/ (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (sqrt (* h l)) (* D (/ M (* 2 d))) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ d l)) (sqrt (pow (/ h l) 3)) (* (* (* -1/4 (* D D)) (* M M)) (sqrt (pow (/ h l) 3))) (* (/ (/ D d) 2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))))
7.0ms	D	@	0	((* (+ (* (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (/ h l)) 1) (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (pow (* D (/ M (* 2 d))) 2) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (neg d)) (* (* -1/4 (* D D)) (* M M)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/ (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (sqrt (* h l)) (* D (/ M (* 2 d))) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ d l)) (sqrt (pow (/ h l) 3)) (* (* (* -1/4 (* D D)) (* M M)) (sqrt (pow (/ h l) 3))) (* (/ (/ D d) 2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))))
7.0ms	d	@	0	((* (+ (* (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (/ h l)) 1) (* -1/2 (pow (* D (/ M (* 2 d))) 2)) (pow (* D (/ M (* 2 d))) 2) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (neg d)) (* (* -1/4 (* D D)) (* M M)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/ (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (sqrt (* h l)) (* D (/ M (* 2 d))) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ d l)) (sqrt (pow (/ h l) 3)) (* (* (* -1/4 (* D D)) (* M M)) (sqrt (pow (/ h l) 3))) (* (/ (/ D d) 2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))))

simplify128.0ms (0.9%)

Memory

-13.4MiB live, 172.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	1995
1	1060	1890
2	4306	1856
0	8529	1808

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 94

Calls

Call 1

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

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

rewrite219.0ms (1.5%)

Memory

-15.5MiB live, 307.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	492
0	154	447
1	468	420
2	2891	416
0	9363	413

Stop Event

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

Counts

29 → 684

Calls

Call 1

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

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

eval123.0ms (0.8%)

Memory: -13.7MiB live, 173.7MiB allocated
Compiler: Compiled 29 870 to 2 861 computations (90.4% saved)

prune68.0ms (0.5%)

Memory

26.1MiB live, 164.0MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	646	21	667
Fresh	21	15	36
Picked	3	2	5
Done	0	1	1
Total	670	39	709

Accuracy

96.3%

Counts

709 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.8%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (.f64 (sqrt.f64 l) (sqrt.f64 h))))
	64.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (neg.f64 D) M) (.f64 M D)) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 d #s(literal 2 binary64))))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	75.1%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal -2 binary64) d)) (/.f64 (.f64 M D) (.f64 #s(literal -2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	73.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) D) (/.f64 M (.f64 d #s(literal 2 binary64)))) D)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	60.5%	(.f64 (fma.f64 #s(approx ( -1/2 (pow (* M (/ (/ D d) 2)) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	42.0%	(.f64 (/.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) D) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
	44.8%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	75.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 h l) M) #s(literal 1/2 binary64)) (.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) D)))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	74.4%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (.f64 #s(literal 1/2 binary64) D)) #s(literal 4 binary64))) (/.f64 M d))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	71.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 h M)) (.f64 #s(literal 2 binary64) l)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	71.8%	(.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 M (.f64 d #s(literal 2 binary64))) D) (.f64 (/.f64 h l) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 M (*.f64 d #s(literal 2 binary64))) D))))))
	1.9%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (/.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)))
✓	3.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #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)))
	3.9%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) #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)))
	70.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M (*.f64 d #s(literal 2 binary64))) D) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	7.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) #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)))
	70.7%	(.f64 (.f64 #s(approx (pow (/ d h) (/ 1 2)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	28.8%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	35.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	47.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #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))
	18.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	18.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) (sqrt.f64 (neg.f64 h))))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	27.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (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))
	28.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	16.7%	#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 (/.f64 (.f64 M M) d) (*.f64 D D)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	42.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
✓	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	35.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))
	43.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	40.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (.f64 D D)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	14.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/.f64 #s(approx (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) h))
	43.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/.f64 #s(approx (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	12.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (/.f64 #s(approx (+ (* (* (* 1/4 (* M M)) (* D D)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	29.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ (neg h) l)) 1)) (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))

Compiler

Compiled 5 561 to 1 663 computations (70.1% saved)

regimes295.0ms (2%)

Memory

14.0MiB live, 340.0MiB allocated

Counts

93 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

89.0ms	h
58.0ms	l
38.0ms	D
34.0ms	M
26.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
84.1%	2	`d`
84.1%	2	`h`
84.1%	2	`l`
77.5%	2	`M`
78.2%	2	`D`
84.2%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
78.4%	2	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes95.0ms (0.6%)

Memory

11.5MiB live, 57.1MiB allocated

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

47.0ms	(.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))))
15.0ms	d
15.0ms	h
15.0ms	l

Results

Accuracy	Segments	Branch
81.5%	2	`h`
84.5%	3	`d`
81.5%	2	`l`
83.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes64.0ms (0.4%)

Memory

-30.2MiB live, 24.1MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

52.0ms

(*.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))))

9.0ms

Results

Accuracy	Segments	Branch
77.3%	2	`d`
83.8%	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 36 to 27 computations (25% saved)

regimes60.0ms (0.4%)

Memory

-8.7MiB live, 37.3MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

42.0ms

8.0ms

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
78.0%	2	`l`
75.1%	1	`h`
83.0%	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 37 to 32 computations (13.5% saved)

regimes9.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

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
81.1%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes89.0ms (0.6%)

Memory

25.9MiB live, 69.4MiB allocated

Counts

26 → 4

Calls

Call 1

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

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

Calls

7 calls:

44.0ms	D
7.0ms	l
7.0ms	d
7.0ms	h
7.0ms	M

Results

Accuracy	Segments	Branch
64.5%	1	`h`
70.6%	2	`d`
71.1%	3	`M`
69.0%	2	`l`
70.4%	3	`D`
73.0%	3	`(*.f64 M D)`
76.3%	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 43 to 53 computations (-23.3% saved)

regimes39.0ms (0.3%)

Memory

-34.8MiB live, 11.3MiB allocated

Counts

23 → 5

Calls

Call 1

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

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

Calls

1 calls:

38.0ms

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

Results

Accuracy	Segments	Branch
77.1%	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)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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)

regimes7.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

22 → 5

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
76.3%	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)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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)

regimes82.0ms (0.5%)

Memory

1.3MiB live, 53.7MiB allocated

Counts

21 → 4

Calls

Call 1

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

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

Calls

7 calls:

44.0ms	M
6.0ms	l
6.0ms	h
6.0ms	D
6.0ms	d

Results

Accuracy	Segments	Branch
51.6%	3	`h`
48.8%	3	`D`
52.0%	3	`l`
51.0%	2	`M`
55.2%	4	`d`
52.6%	3	`(*.f64 M D)`
60.3%	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 43 to 53 computations (-23.3% saved)

regimes7.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
58.3%	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 35 to 22 computations (37.1% saved)

regimes5.0ms (0%)

Memory

9.4MiB live, 9.5MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
54.9%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes16.0ms (0.1%)

Memory

-19.5MiB live, 25.1MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

6.0ms	(.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))))
3.0ms	M
3.0ms	d
3.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
44.8%	1	`M`
48.1%	3	`(*.f64 M D)`
44.8%	1	`d`
52.5%	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 40 to 38 computations (5% saved)

regimes8.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
44.8%	1	`h`
44.8%	1	`l`
48.3%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes39.0ms (0.3%)

Memory

-15.1MiB live, 30.8MiB 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)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 d #s(literal 1 binary64)) (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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Outputs

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

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

Calls

7 calls:

25.0ms	(*.f64 M D)
2.0ms	l
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

Results

Accuracy	Segments	Branch
44.9%	2	`d`
26.9%	1	`M`
44.5%	2	`h`
44.5%	2	`l`
29.2%	2	`(*.f64 M D)`
32.4%	3	`D`
28.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes16.0ms (0.1%)

Memory

-18.0MiB live, 27.7MiB allocated

Counts

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
26.9%	1	`M`
26.9%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
26.9%	1	`(*.f64 M D)`
26.9%	1	`D`
26.9%	1	`l`
26.9%	1	`h`
26.9%	1	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes8.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
26.6%	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))))`
26.6%	1	`h`
26.6%	1	`D`
26.6%	1	`d`
26.6%	1	`(*.f64 M D)`
26.6%	1	`l`
26.6%	1	`M`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8039338336150686e+245	3.3068083754146875e+257

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8039338336150686e+245	3.3068083754146875e+257

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8039338336150686e+245	3.3068083754146875e+257
0.0ms	0.0	4.552934836386247e-228

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8039338336150686e+245	3.3068083754146875e+257
0.0ms	0.0	4.552934836386247e-228

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8039338336150686e+245	3.3068083754146875e+257
0.0ms	0.0	4.552934836386247e-228

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.3068083754146875e+257	2.2127437218118166e+264
0.0ms	0.0	4.552934836386247e-228
0.0ms	-1.8979671843170928e+306	-2.661873134445769e+273

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.8039338336150686e+245	3.3068083754146875e+257
0.0ms	0.0	4.552934836386247e-228
0.0ms	-1.8979671843170928e+306	-2.661873134445769e+273

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.8039338336150686e+245	3.3068083754146875e+257
0.0ms	0.0	4.552934836386247e-228
0.0ms	-11030332936532.592	-9.39891571451922e-12

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8039338336150686e+245	3.3068083754146875e+257
0.0ms	0.0	4.552934836386247e-228
0.0ms	-2.430175874266568e-90	-0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8039338336150686e+245	3.3068083754146875e+257
0.0ms	0.0	4.552934836386247e-228
0.0ms	-2.430175874266568e-90	-0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.143769847071549e+295	+inf
0.0ms	-2.430175874266568e-90	-0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.143769847071549e+295	+inf
0.0ms	0.0	4.552934836386247e-228

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1807438493649342e-53	-2.430175874266568e-90

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch128.0ms (0.9%)

Memory

-22.9MiB live, 75.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
123.0ms	6.506604072308801e-239	9.72742840668677e-235

Samples

59.0ms	128×	0	valid
55.0ms	112×	0	invalid

Compiler

Compiled 734 to 486 computations (33.8% saved)

Precisions

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

ival-div: 50.0ms (47% of total)

ival-mult: 47.0ms (44.1% of total)

ival-pow: 6.0ms (5.6% of total)

ival-pow2: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify68.0ms (0.5%)

Memory

16.9MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	222	2798
1	363	2780
2	866	2780
3	5050	2780

Stop Event

1×	node limit

Calls

Call 1

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

soundness2.2s (14.7%)

Memory

15.9MiB live, 1 445.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	1154
1	670	1082
2	2678	1063
0	8308	1033
0	319	1995
1	1060	1890
2	4306	1856
0	8529	1808
0	102	492
0	154	447
1	468	420
2	2891	416
0	9363	413
0	309	1963
1	1028	1842
2	4210	1807
0	8403	1759
0	20	50
0	34	48
1	100	48
2	521	48
3	6486	48
0	8448	47
0	62	223
1	165	201
2	612	201
3	3951	201
0	8151	194
0	70	266
0	124	254
1	352	234
2	2388	230
0	8128	225
0	90	415
0	140	397
1	444	373
2	2762	365
0	9467	365

Stop Event

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

Compiler

Compiled 6 846 to 2 458 computations (64.1% saved)

preprocess157.0ms (1.1%)

Memory: 2.0MiB live, 236.7MiB allocated
Remove: (abs M)
Compiler: Compiled 8 042 to 1 540 computations (80.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze500.0ms (3.4%)

sample5.6s (37.8%)

explain438.0ms (2.9%)

preprocess203.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify261.0ms (1.7%)

localize60.0ms (0.4%)

series44.0ms (0.3%)

simplify96.0ms (0.6%)

rewrite232.0ms (1.6%)

eval51.0ms (0.3%)

prune24.0ms (0.2%)

simplify140.0ms (0.9%)

localize274.0ms (1.8%)

series102.0ms (0.7%)

simplify779.0ms (5.2%)

rewrite173.0ms (1.2%)

eval105.0ms (0.7%)

prune40.0ms (0.3%)

simplify122.0ms (0.8%)

localize235.0ms (1.6%)

series149.0ms (1%)

simplify155.0ms (1%)

rewrite296.0ms (2%)

eval157.0ms (1.1%)

prune112.0ms (0.8%)

simplify194.0ms (1.3%)

localize282.0ms (1.9%)

series109.0ms (0.7%)

simplify128.0ms (0.9%)

rewrite219.0ms (1.5%)

eval123.0ms (0.8%)

prune68.0ms (0.5%)

regimes295.0ms (2%)

regimes95.0ms (0.6%)

regimes64.0ms (0.4%)

regimes60.0ms (0.4%)

regimes9.0ms (0.1%)

regimes89.0ms (0.6%)

regimes39.0ms (0.3%)

regimes7.0ms (0%)

regimes82.0ms (0.5%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes16.0ms (0.1%)

regimes8.0ms (0.1%)

regimes39.0ms (0.3%)

regimes16.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch128.0ms (0.9%)

simplify68.0ms (0.5%)

soundness2.2s (14.7%)

preprocess157.0ms (1.1%)

end0.0ms (0%)

Profiling