Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.4MiB live, 0.3MiB allocated

analyze464.0ms (2.8%)

Memory

-6.8MiB live, 799.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample6.3s (37.3%)

Memory

14.4MiB live, 7 297.4MiB allocated

Samples

2.3s	12 924×	0	invalid
1.7s	8 256×	0	valid

Precisions

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

ival-mult: 1.0s (32.2% of total)

ival-div: 893.0ms (28.5% of total)

ival-pow: 695.0ms (22.1% of total)

ival-pow2: 348.0ms (11.1% of total)

ival-sub: 146.0ms (4.7% of total)

exact: 21.0ms (0.7% of total)

ival-true: 16.0ms (0.5% of total)

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

Bogosity

explain333.0ms (2%)

Memory

-5.7MiB live, 534.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
73	-	3	(-2.7781330952258803e-86 -1.8530935233684796e+210 -4.441678519099454e+226 2.6897259518124738e-275 2.8782183657857525e-227)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
65	-	4	(2.7622099496957475e-14 2.1843933300682445e+302 5.190193043306728e+126 -2.180297966893359e-123 -3.279392509677595e+204)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
47	-	2	(5.311217564277093e+228 2.3564864561737585e+158 3.3769511077709266e-55 2.835868375323153e+234 -6.228737238425431e-164)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
23	-	0	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
16	-	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 l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	39	0
↳	`(/.f64 d l)`	overflow	39
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	36	0
↳	`(/.f64 d h)`	overflow	36
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	31	0
↳	`(/.f64 d l)`	underflow	31
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	25	0
↳	`(/.f64 d h)`	underflow	25
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	13	0
↳	`(*.f64 M D)`	overflow	35
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	12	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	9	0
↳	`(/.f64 d h)`	underflow	25
↳	`(/.f64 d l)`	underflow	31
↳	`(*.f64 (pow.f64 (/.f64 d 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	19
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	78
↳	`(.f64 (/.f64 #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	78
↳	`(/.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	80
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	80
↳	`(*.f64 M D)`	overflow	35
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	41
`*.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**	6	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	78
↳	`(.f64 (/.f64 #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	78
↳	`(*.f64 M D)`	overflow	35
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	41
↳	`(/.f64 h l)`	underflow	31
`*.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
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	81
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	81
↳	`(*.f64 M D)`	underflow	30
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	42
↳	`(/.f64 h l)`	overflow	30
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	30

Confusion

	Predicted +	Predicted -
+	78	8
-	46	124

Precision

0.6290322580645161

Recall

0.9069767441860465

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	8
-	46	0	124

Precision?

0.6290322580645161

Recall?

0.9069767441860465

Freqs

test

number	freq
0	132
1	79
2	36
3	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

93.0ms

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 (31.5% of total)

ival-div: 19.0ms (29.9% of total)

ival-mult: 16.0ms (25.2% of total)

ival-pow2: 5.0ms (7.9% of total)

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

exact: 1.0ms (1.6% of total)

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

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

preprocess148.0ms (0.9%)

Memory

18.6MiB live, 159.0MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(.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))))

Status

Accuracy

Program

▶

68.5%

(*.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)

simplify120.0ms (0.7%)

Memory

-1.7MiB live, 140.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

localize82.0ms (0.5%)

Memory

7.7MiB live, 52.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.405684613101673	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	10.839690700638425	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	14.891167296618402	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	16.77586883694908	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

69.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 34.0ms (61.2% of total)

ival-pow: 10.0ms (18% of total)

ival-mult: 8.0ms (14.4% of total)

ival-pow2: 2.0ms (3.6% of total)

ival-sub: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series85.0ms (0.5%)

Memory

-21.7MiB live, 64.9MiB 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
46.0ms	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)))
6.0ms	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)))
5.0ms	d	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* 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)))
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)))

simplify103.0ms (0.6%)

Memory

16.3MiB live, 118.0MiB 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))

rewrite167.0ms (1%)

Memory

21.4MiB live, 166.7MiB 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)))))

eval47.0ms (0.3%)

Memory: -29.4MiB live, 104.9MiB allocated
Compiler: Compiled 14 643 to 1 594 computations (89.1% saved)

prune25.0ms (0.1%)

Memory

-1.2MiB live, 51.7MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	320	16	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	16	337

Accuracy

87.8%

Counts

337 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.4%	(.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))))
▶	68.4%	(.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))))
▶	51.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 h (/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) l) #s(literal 1 binary64)))
	52.8%	(.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 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 d d))))
	46.7%	(.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 h #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) (neg.f64 l))))
	67.0%	(.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 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)))))
	46.8%	(.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 h (/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) d)) l))))
	49.8%	(.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)))))
	20.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M))))
▶	41.7%	(.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))) #s(literal 1 binary64)))
	39.6%	(.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))))
▶	33.5%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	68.5%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	42.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.9%	(.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))))
	68.4%	(.f64 (.f64 (.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)))) (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 1 198 to 820 computations (31.6% saved)

simplify165.0ms (1%)

Memory

17.3MiB live, 207.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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 h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	3	(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 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	(/.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 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
cost-diff	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	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	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	612
0	92	582
1	164	574
2	449	574
3	2747	574
4	6855	574
0	8132	566

Stop Event

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

Calls

Call 1

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

localize173.0ms (1%)

Memory

5.0MiB live, 196.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.9240168478666644	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	5.912025446932644	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	8.169011039836967	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.705322220320218	(pow.f64 (/.f64 d l) #s(literal 1/4 binary64))
accuracy	3.1027950948267677	(/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) l)
accuracy	3.4396500526343567	(.f64 (.f64 (pow.f64 (/.f64 d 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 h (/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) l) #s(literal 1 binary64)))
accuracy	8.169011039836967	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.55440899775428	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	2.718660544652225	(.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))))
accuracy	3.9240168478666644	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	5.912025446932644	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	8.169011039836967	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	2.718660544652225	(.f64 (.f64 (pow.f64 (/.f64 d 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	8.169011039836967	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.55440899775428	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	16.86943928635704	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	3.9240168478666644	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	5.912025446932644	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	8.169011039836967	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.55831524775428	(sqrt.f64 (/.f64 d l))

Samples

79.0ms	127×	0	valid
52.0ms	129×	0	invalid

Compiler

Compiled 692 to 48 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 22.0ms (32.5% of total)

ival-pow: 15.0ms (22.2% of total)

ival-div: 13.0ms (19.2% of total)

ival-pow2: 10.0ms (14.8% of total)

ival-sqrt: 5.0ms (7.4% of total)

ival-add: 1.0ms (1.5% of total)

ival-sub: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series192.0ms (1.1%)

Memory

21.8MiB live, 245.5MiB allocated

Counts

16 → 52

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

Outputs
(sqrt (/ d h))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(sqrt (/ d l))
(* -1/4 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)))))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l)))
(exp (* 1/4 (+ (log d) (log (/ 1 l)))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/4 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
(exp (* 1/4 (+ (log (/ 1 l)) (* -1 (log (/ 1 d))))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d l)) (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)))))
(exp (* 1/4 (+ (log (/ -1 l)) (* -1 (log (/ -1 d))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/4 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* 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))
(* 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)))))))))
(* -1/4 (* (* (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)))))))))
(/ (- 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))
(exp (* 1/4 (+ (log d) (* -1 (log l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* 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)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -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)))))
(exp (* 1/4 (+ (log (* -1 d)) (log (/ -1 l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/4 (* (pow D 2) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (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
42.0ms	d	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (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)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (pow (pow (/ d l) 1/4) 2) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* h (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l)) 1)) (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l) (pow (/ d l) 1/4))
37.0ms	l	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (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)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (pow (pow (/ d l) 1/4) 2) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* h (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l)) 1)) (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l) (pow (/ d l) 1/4))
22.0ms	d	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (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)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (pow (pow (/ d l) 1/4) 2) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* h (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l)) 1)) (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l) (pow (/ d l) 1/4))
19.0ms	l	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (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)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (pow (pow (/ d l) 1/4) 2) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* h (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l)) 1)) (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l) (pow (/ d l) 1/4))
18.0ms	l	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (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)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (pow (pow (/ d l) 1/4) 2) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* h (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l)) 1)) (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l) (pow (/ d l) 1/4))

simplify138.0ms (0.8%)

Memory

9.3MiB live, 152.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1052
1	708	990
2	2699	963
0	8350	937

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

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

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

rewrite245.0ms (1.5%)

Memory

-21.1MiB live, 263.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	225
0	88	214
1	236	206
2	1289	186
0	10094	186

Stop Event

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

Counts

16 → 1 230

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

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

eval318.0ms (1.9%)

Memory: -23.3MiB live, 337.9MiB allocated
Compiler: Compiled 60 012 to 3 874 computations (93.5% saved)

prune128.0ms (0.8%)

Memory

-8.3MiB live, 225.6MiB allocated

Pruning

50 alts after pruning (50 fresh and 0 done)

	Pruned	Kept	Total
New	1 386	48	1 434
Fresh	9	2	11
Picked	5	0	5
Done	0	0	0
Total	1 400	50	1 450

Accuracy

93.2%

Counts

1 450 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.0%	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) l) (/.f64 #s(literal -1/4 binary64) d))) h (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	23.6%	(fma.f64 (.f64 #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l))))))
	25.7%	(/.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 h (.f64 d l)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h)))) (sqrt.f64 l))
	32.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
▶	30.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	28.5%	(/.f64 (.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	20.0%	(/.f64 (.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 d)) (sqrt.f64 h))
	27.4%	(/.f64 (.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	20.3%	(/.f64 (.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	17.6%	(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
	40.2%	(.f64 (fma.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 h (.f64 d l)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	41.6%	(.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)))))
	50.1%	(.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	41.6%	(.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))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	68.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 h (/.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 D d))) #s(literal 2 binary64)) (.f64 D M)) (*.f64 #s(literal -2 binary64) d)) l) #s(literal 1 binary64)))
	46.8%	(.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)))) (fma.f64 h (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (.f64 D M))) (*.f64 #s(literal -2 binary64) d)) l) #s(literal 1 binary64)))
▶	69.4%	(.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)))) (fma.f64 h (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 D d))) #s(literal 2 binary64)) (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d))) l) #s(literal 1 binary64)))
	46.8%	(.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)))) (fma.f64 h (/.f64 (.f64 (.f64 (neg.f64 M) D) (.f64 (.f64 D M) (/.f64 #s(literal -1/4 binary64) d))) l) #s(literal 1 binary64)))
	52.7%	(.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)))) (fma.f64 h (.f64 (/.f64 (.f64 D M) l) (.f64 (.f64 D M) (/.f64 #s(literal -1/4 binary64) d))) #s(literal 1 binary64)))
	67.0%	(.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 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)))))
	39.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (pow (/ d l) 1/4) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.6%	(.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))))
	27.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	26.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (/.f64 (.f64 (.f64 D D) h) d)) (*.f64 M M) #s(literal 1 binary64))))
	20.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	64.8%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 h (.f64 d l))) (*.f64 #s(literal -2 binary64) d))))
	52.8%	(.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 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 d d))))
	65.1%	(.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 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) (.f64 D M))) (.f64 #s(literal -2 binary64) d))))
▶	45.5%	(.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 h (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 d l))))
	43.6%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) l) (/.f64 h (.f64 #s(literal -2 binary64) d)))))
	48.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (/.f64 (.f64 (.f64 D D) h) d)) (*.f64 M M) #s(literal 1 binary64))))
	41.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	10.6%	(.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)))
	42.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (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))))
	20.1%	(.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)))
	36.9%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (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))))
	33.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.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))))
	68.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))))
	41.7%	(.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)))
	32.3%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	33.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* h (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l)) 1)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	22.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* h (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l)) 1)) (/.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)))
	26.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* h (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l)) 1)) (.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)))
	27.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* h (/ (/ (* (pow (* D M) 2) 1/2) (* -2 d)) l)) 1)) (.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))))))
	41.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))
	14.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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)))
	14.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))))))
▶	20.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.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))))))
▶	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	32.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 3 828 to 2 718 computations (29% saved)

simplify123.0ms (0.7%)

Memory

-0.4MiB live, 140.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	578
0	126	567
1	251	551
2	753	533
3	4410	533
0	8206	531

Stop Event

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

Calls

Call 1

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

localize229.0ms (1.4%)

Memory

-1.3MiB live, 351.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.3237997292311436	(.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 h (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 d l))))
accuracy	3.723818763013424	(/.f64 (.f64 h (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 d l))
accuracy	8.169011039836967	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.55831524775428	(sqrt.f64 (/.f64 d l))
accuracy	1.016018443029287	(.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d))
accuracy	2.1678197882333397	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 h (*.f64 d l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
accuracy	4.146751121990718	(fma.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 h (*.f64 d l)) #s(literal 1 binary64))
accuracy	8.172917289836967	(sqrt.f64 (/.f64 d h))
accuracy	6.189158413889405	(.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)))))
accuracy	6.237189781969767	(.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)))
accuracy	7.837429723620335	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	13.165227582370413	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.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))))))
accuracy	0.11328125	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.2610432447471975	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	6.1335166618939425	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	16.789674651001388	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
accuracy	2.659267702935735	(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d))
accuracy	2.718660544652225	(.f64 (.f64 (pow.f64 (/.f64 d 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 h (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 D d))) #s(literal 2 binary64)) (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d))) l) #s(literal 1 binary64)))
accuracy	8.169011039836967	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.55440899775428	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

93.0ms	129×	0	invalid
84.0ms	127×	0	valid

Compiler

Compiled 588 to 72 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 71.0ms (49.6% of total)

ival-div: 31.0ms (21.6% of total)

ival-pow: 20.0ms (14% of total)

ival-sqrt: 12.0ms (8.4% of total)

ival-pow2: 4.0ms (2.8% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

series118.0ms (0.7%)

Memory

-5.8MiB live, 180.7MiB allocated

Counts

25 → 98

Calls

Call 1

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

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

simplify145.0ms (0.9%)

Memory

29.3MiB live, 161.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	2120
1	1219	1963
2	4898	1956
0	8203	1902

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 98

Calls

Call 1

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

rewrite216.0ms (1.3%)

Memory

22.8MiB live, 207.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	361
0	126	353
1	383	329
2	2192	317
0	8392	315

Stop Event

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

Counts

25 → 491

Calls

Call 1

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

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

eval96.0ms (0.6%)

Memory: -33.6MiB live, 121.9MiB allocated
Compiler: Compiled 23 073 to 2 330 computations (89.9% saved)

prune88.0ms (0.5%)

Memory

-9.3MiB live, 136.8MiB allocated

Pruning

57 alts after pruning (56 fresh and 1 done)

	Pruned	Kept	Total
New	526	34	560
Fresh	23	22	45
Picked	4	1	5
Done	0	0	0
Total	553	57	610

Accuracy

96.2%

Counts

610 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.2%	(fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l)) (.f64 h (/.f64 d (sqrt.f64 (.f64 l h)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	23.6%	(fma.f64 (.f64 #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l))))))
	29.3%	(/.f64 (fma.f64 (/.f64 d (sqrt.f64 h)) l (.f64 (sqrt.f64 l) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 h (/.f64 (.f64 (/.f64 D d) M) #s(literal -2 binary64))) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64)))))) (*.f64 (sqrt.f64 l) l))
	28.5%	(/.f64 (fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 h (/.f64 (.f64 (/.f64 D d) M) #s(literal -2 binary64))) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64)))) (sqrt.f64 (.f64 l h)) (.f64 l d)) (.f64 l (sqrt.f64 (*.f64 l h))))
	23.8%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (/.f64 d l) d)) l (.f64 (sqrt.f64 h) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 h (/.f64 (.f64 (/.f64 D d) M) #s(literal -2 binary64))) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64)))))) (.f64 (sqrt.f64 h) l))
	31.0%	(/.f64 (.f64 (fma.f64 (/.f64 (/.f64 h l) d) (.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l))
▶	29.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 D M) (.f64 (.f64 D M) (.f64 (/.f64 (/.f64 h l) d) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	28.5%	(/.f64 (.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	20.0%	(/.f64 (.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 d)) (sqrt.f64 h))
	27.4%	(/.f64 (.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	17.6%	(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
	33.0%	(/.f64 #s(approx (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 h)) (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) l)) (sqrt.f64 l))
	17.8%	(/.f64 #s(approx (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 h)) (.f64 (/.f64 (.f64 M M) l) (*.f64 D D)))) (sqrt.f64 l))
	21.5%	(/.f64 #s(approx (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d)) (sqrt.f64 l))
	35.6%	(/.f64 #s(approx (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (neg.f64 d) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 h)) (.f64 (/.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 M M)) D) l) (/.f64 D d)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))))) (sqrt.f64 l))
	43.9%	(.f64 (fma.f64 (/.f64 (/.f64 h l) d) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
▶	41.6%	(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l)) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	41.6%	(.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)))))
	68.3%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l)) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	69.4%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l)) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	41.6%	(.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))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	67.0%	(.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 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)))))
	67.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))) (fma.f64 h (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 D d))) #s(literal 2 binary64)) (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d))) l) #s(literal 1 binary64)))
	39.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (pow (/ d l) 1/4) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (fma.f64 h (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 D d))) #s(literal 2 binary64)) (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d))) l) #s(literal 1 binary64)))
	27.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	20.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	52.8%	(.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 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 d d))))
	65.1%	(.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 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) (.f64 D M))) (.f64 #s(literal -2 binary64) d))))
	67.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (fma.f64 h (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 D d))) #s(literal 2 binary64)) (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d))) l) #s(literal 1 binary64)))
	10.6%	(.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)))
	41.6%	(.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)))) (fma.f64 h (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 D d))) #s(literal 2 binary64)) (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d))) l) #s(literal 1 binary64)))
	42.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.9%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (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))))
	46.8%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) (/.f64 #s(literal -1/4 binary64) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	45.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 d l))))
	68.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))))
	41.7%	(.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)))
	32.3%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	22.8%	#s(approx (/ (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (/.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)))
	27.6%	#s(approx (/ (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/4 binary64) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	30.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* h (* (pow (* D M) 2) -1/4)) (* d l)))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	41.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))
	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 d #s(literal 1 binary64)) (sqrt.f64 (.f64 l h))))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) (pow.f64 (.f64 l h) #s(literal -1 binary64))) #s(literal 1/4 binary64)) d))
	23.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))))))
	3.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
▶	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
▶	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) 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)) (sqrt (/ d l))) (- 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))))))
	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (/.f64 (sqrt.f64 (/.f64 h (.f64 l l))) (sqrt.f64 l))))
	22.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
✓	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	32.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	20.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 M (.f64 M (.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D d) D))))))

Compiler

Compiled 4 409 to 3 124 computations (29.1% saved)

simplify119.0ms (0.7%)

Memory

0.0MiB live, 190.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	556
0	106	552
1	190	537
2	521	537
3	3236	537
4	7932	537
0	8012	533

Stop Event

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

Calls

Call 1

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

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

localize248.0ms (1.5%)

Memory

26.1MiB live, 308.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.9678750920094696	(/.f64 h (pow.f64 l #s(literal 3 binary64)))
accuracy	6.189158413889405	(.f64 (.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
accuracy	7.837429723620335	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	13.165227582370413	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
accuracy	2.2726271378566008	(/.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l))
accuracy	2.6488583993319788	(*.f64 (/.f64 D d) M)
accuracy	2.718660544652225	(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l)) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
accuracy	6.06439800504369	(sqrt.f64 (*.f64 l h))
accuracy	2.1678197882333397	(/.f64 (.f64 (.f64 (fma.f64 (.f64 D M) (.f64 (.f64 D M) (.f64 (/.f64 (/.f64 h l) d) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
accuracy	2.4733817243663223	(/.f64 (/.f64 h l) d)
accuracy	5.667456936243625	(.f64 (.f64 D M) (*.f64 (/.f64 (/.f64 h l) d) #s(literal -1/4 binary64)))
accuracy	8.172917289836967	(sqrt.f64 (/.f64 d h))
accuracy	0.11328125	(.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	6.06439800504369	(sqrt.f64 (*.f64 l h))
accuracy	16.789674651001388	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
accuracy	2.2726271378566008	(/.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l))
accuracy	2.6488583993319788	(*.f64 (/.f64 D d) M)
accuracy	8.172917289836967	(sqrt.f64 (/.f64 d h))
accuracy	8.55831524775428	(sqrt.f64 (/.f64 d l))

Samples

86.0ms	127×	0	valid
57.0ms	129×	0	invalid

Compiler

Compiled 549 to 64 computations (88.3% saved)

Precisions

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

ival-mult: 49.0ms (43.8% of total)

ival-div: 23.0ms (20.6% of total)

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

ival-pow: 10.0ms (8.9% of total)

ival-pow2: 7.0ms (6.3% of total)

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

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

exact: 1.0ms (0.9% of total)

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

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

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

series186.0ms (1.1%)

Memory

-0.3MiB live, 149.2MiB allocated

Counts

25 → 103

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
49.0ms	l	@	-inf	((/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) (* (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (/ (* (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (sqrt d)) (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (/ d (sqrt (* l h)))) (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ (pow (* D M) 2) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ (pow (* D M) 2) d) -1/8) (/ (pow (* D M) 2) d) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ D d) M) (* (* D M) (* (/ (/ h l) d) -1/4)) (/ (/ h l) d) (sqrt (/ h (pow l 3))) (/ h (pow l 3)))
30.0ms	d	@	-inf	((/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) (* (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (/ (* (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (sqrt d)) (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (/ d (sqrt (* l h)))) (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ (pow (* D M) 2) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ (pow (* D M) 2) d) -1/8) (/ (pow (* D M) 2) d) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ D d) M) (* (* D M) (* (/ (/ h l) d) -1/4)) (/ (/ h l) d) (sqrt (/ h (pow l 3))) (/ h (pow l 3)))
19.0ms	M	@	-inf	((/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) (* (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (/ (* (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (sqrt d)) (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (/ d (sqrt (* l h)))) (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ (pow (* D M) 2) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ (pow (* D M) 2) d) -1/8) (/ (pow (* D M) 2) d) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ D d) M) (* (* D M) (* (/ (/ h l) d) -1/4)) (/ (/ h l) d) (sqrt (/ h (pow l 3))) (/ h (pow l 3)))
9.0ms	h	@	-inf	((/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) (* (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (/ (* (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (sqrt d)) (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (/ d (sqrt (* l h)))) (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ (pow (* D M) 2) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ (pow (* D M) 2) d) -1/8) (/ (pow (* D M) 2) d) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ D d) M) (* (* D M) (* (/ (/ h l) d) -1/4)) (/ (/ h l) d) (sqrt (/ h (pow l 3))) (/ h (pow l 3)))
8.0ms	d	@	0	((/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) (* (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (/ (* (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (* (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (sqrt d)) (* (+ (* (* D M) (* (* D M) (* (/ (/ h l) d) -1/4))) 1) (sqrt (/ d h))) (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (/ d (sqrt (* l h)))) (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ (pow (* D M) 2) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ (pow (* D M) 2) d) -1/8) (/ (pow (* D M) 2) d) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ D d) M) (* (* D M) (* (/ (/ h l) d) -1/4)) (/ (/ h l) d) (sqrt (/ h (pow l 3))) (/ h (pow l 3)))

simplify193.0ms (1.2%)

Memory

7.9MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	2230
1	1402	2058
2	5755	2052
0	8672	1995

Stop Event

1×	iter limit
1×	node limit

Counts

103 → 103

Calls

Call 1

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

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

rewrite248.0ms (1.5%)

Memory

-28.8MiB live, 205.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	375
0	106	371
1	299	353
2	1665	341
0	8669	337

Stop Event

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

Counts

25 → 807

Calls

Call 1

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

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

eval168.0ms (1%)

Memory: 29.3MiB live, 210.5MiB allocated
Compiler: Compiled 44 645 to 3 479 computations (92.2% saved)

prune183.0ms (1.1%)

Memory

-9.4MiB live, 193.5MiB allocated

Pruning

65 alts after pruning (63 fresh and 2 done)

	Pruned	Kept	Total
New	944	34	978
Fresh	22	29	51
Picked	4	1	5
Done	0	1	1
Total	970	65	1 035

Accuracy

97.1%

Counts

1 035 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.6%	(fma.f64 (.f64 #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l))))))
	29.3%	(/.f64 (fma.f64 (/.f64 d (sqrt.f64 h)) l (.f64 (sqrt.f64 l) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 h (/.f64 (.f64 (/.f64 D d) M) #s(literal -2 binary64))) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64)))))) (*.f64 (sqrt.f64 l) l))
	28.5%	(/.f64 (fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 h (/.f64 (.f64 (/.f64 D d) M) #s(literal -2 binary64))) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64)))) (sqrt.f64 (.f64 l h)) (.f64 l d)) (.f64 l (sqrt.f64 (*.f64 l h))))
	23.8%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (/.f64 d l) d)) l (.f64 (sqrt.f64 h) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 h (/.f64 (.f64 (/.f64 D d) M) #s(literal -2 binary64))) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/4 binary64)))))) (.f64 (sqrt.f64 h) l))
	42.0%	(/.f64 (.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
	29.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) l) (/.f64 h d)) (.f64 #s(literal -1/4 binary64) (.f64 M D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	29.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 h l) d)) D) M) D) M #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	33.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 D M) (.f64 (.f64 D M) (.f64 (/.f64 (/.f64 h l) d) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 d)) (sqrt.f64 l))
	3.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 D M) (.f64 (.f64 D M) (.f64 (/.f64 (/.f64 h l) d) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(approx (sqrt (/ d h)) (neg.f64 (sqrt.f64 (/.f64 d h))))) (sqrt.f64 d)) (sqrt.f64 l))
	31.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 D M) (.f64 (.f64 D M) (.f64 (/.f64 h (*.f64 l d)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	28.5%	(/.f64 (.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	27.4%	(/.f64 (.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	33.0%	(/.f64 #s(approx (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 h)) (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) l)) (sqrt.f64 l))
	17.8%	(/.f64 #s(approx (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 h)) (.f64 (/.f64 (.f64 M M) l) (*.f64 D D)))) (sqrt.f64 l))
	21.5%	(/.f64 #s(approx (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d)) (sqrt.f64 l))
	35.6%	(/.f64 #s(approx (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (neg.f64 d) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 h)) (.f64 (/.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 M M)) D) l) (/.f64 D d)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))))) (sqrt.f64 l))
	43.9%	(.f64 (fma.f64 (/.f64 (/.f64 h l) d) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	41.6%	(.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 l)) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	42.3%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) l))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	36.5%	(.f64 (fma.f64 (.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) l)) (pow.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 2 binary64))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	41.9%	(.f64 (/.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)) (sqrt.f64 h)) (/.f64 d (sqrt.f64 l)))
	66.2%	(.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) l) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	71.7%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l)) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	39.3%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l)) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	54.4%	(.f64 (.f64 (fma.f64 (/.f64 #s(approx (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))) (neg.f64 l)) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	70.6%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) l))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	41.6%	(.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))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	67.0%	(.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 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)))))
	39.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (pow (/ d l) 1/4) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	27.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	20.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	10.6%	(.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)))
	42.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (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))))
	46.8%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) (/.f64 #s(literal -1/4 binary64) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	38.8%	(.f64 (.f64 #s(approx (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	27.4%	(.f64 (.f64 #s(approx (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (*.f64 M M) l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	20.2%	(.f64 #s(approx (+ ( (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)))) (/.f64 d (sqrt.f64 (.f64 l h))))
	16.6%	(.f64 #s(approx ( (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) l)) (sqrt.f64 (.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (.f64 d d))) (sqrt.f64 (/.f64 d l)))
	24.2%	(.f64 #s(approx ( (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) d))) d)) (sqrt.f64 (/.f64 d l)))
	41.7%	(.f64 #s(approx ( (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	27.6%	#s(approx (/ (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (sqrt l)) (.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/4 binary64) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	30.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* h (* (pow (* D M) 2) -1/4)) (* d l)))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	41.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))
	21.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	15.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
	41.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.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)))))
	25.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 l)) (/.f64 (sqrt.f64 h) (fabs.f64 l))))
	3.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 d (pow.f64 (.f64 h l) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 h l) #s(literal 1/4 binary64)))))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (.f64 h l) #s(literal 1/4 binary64)) #s(literal 2 binary64))) d))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))
✓	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	28.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l))))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 (*.f64 M D) D) d) (/.f64 M #s(literal 1 binary64))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (/.f64 (sqrt.f64 (/.f64 h (.f64 l l))) (sqrt.f64 l))))
	22.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
✓	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	32.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	20.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 M (.f64 M (.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D d) D))))))
	29.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
	32.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))

Compiler

Compiled 7 720 to 2 512 computations (67.5% saved)

regimes446.0ms (2.7%)

Memory

21.2MiB live, 446.9MiB allocated

Counts

133 → 2

Calls

Call 1

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

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

Calls

7 calls:

90.0ms	d
69.0ms	(*.f64 M D)
69.0ms	l
59.0ms	M
55.0ms	h

Results

Accuracy	Segments	Branch
84.3%	2	`d`
84.3%	2	`h`
84.3%	2	`l`
71.7%	1	`M`
71.7%	1	`D`
76.7%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
71.7%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes175.0ms (1%)

Memory

9.4MiB live, 176.0MiB allocated

Counts

92 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

70.0ms	h
59.0ms	l
40.0ms	d

Results

Accuracy	Segments	Branch
82.8%	3	`l`
84.1%	3	`h`
81.2%	2	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes184.0ms (1.1%)

Memory

-25.9MiB live, 174.6MiB allocated

Counts

86 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

79.0ms	h
73.0ms	l
25.0ms	d

Results

Accuracy	Segments	Branch
79.1%	2	`d`
81.7%	3	`l`
82.4%	3	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes59.0ms (0.4%)

Memory

-1.0MiB live, 51.1MiB allocated

Counts

79 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

55.0ms

Results

Accuracy	Segments	Branch
81.7%	3	`h`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes95.0ms (0.6%)

Memory

30.1MiB live, 124.0MiB allocated

Counts

75 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

45.0ms	h
24.0ms	d
21.0ms	l

Results

Accuracy	Segments	Branch
77.4%	2	`d`
80.0%	3	`l`
80.3%	3	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes94.0ms (0.6%)

Memory

8.6MiB live, 149.4MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

20.0ms	d
14.0ms	(*.f64 M D)
13.0ms	h
11.0ms	D
11.0ms	l

Results

Accuracy	Segments	Branch
60.6%	2	`M`
57.5%	3	`D`
60.9%	3	`(*.f64 M D)`
69.4%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
73.8%	3	`d`
73.7%	3	`l`
73.0%	3	`h`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes54.0ms (0.3%)

Memory

-38.4MiB live, 54.4MiB allocated

Counts

32 → 4

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	d
10.0ms	l
10.0ms	h

Results

Accuracy	Segments	Branch
71.2%	3	`h`
72.9%	4	`l`
70.8%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes62.0ms (0.4%)

Memory

9.6MiB live, 60.7MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

32.0ms	(.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	l
9.0ms	h
9.0ms	d

Results

Accuracy	Segments	Branch
68.4%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
65.2%	4	`d`
66.4%	4	`h`
65.4%	4	`l`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes17.0ms (0.1%)

Memory

32.3MiB live, 32.3MiB allocated

Counts

26 → 4

Calls

Call 1

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

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

Calls

2 calls:

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
66.4%	4	`h`
62.2%	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)

regimes25.0ms (0.1%)

Memory

-8.1MiB live, 35.7MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

15.0ms	h
8.0ms	l

Results

Accuracy	Segments	Branch
61.6%	2	`l`
63.7%	3	`h`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes90.0ms (0.5%)

Memory

-24.3MiB live, 118.1MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

39.0ms	D
10.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
10.0ms	h
7.0ms	l
7.0ms	d

Results

Accuracy	Segments	Branch
48.1%	2	`D`
53.2%	2	`(*.f64 M D)`
52.9%	2	`M`
55.3%	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))))`
55.7%	3	`l`
58.1%	4	`d`
55.9%	4	`h`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes8.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

(*.f64 #s(approx (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d 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
55.2%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes21.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

20 → 4

Calls

Call 1

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

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

Calls

3 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
55.4%	3	`l`
57.1%	4	`d`
53.8%	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 37 to 32 computations (13.5% saved)

regimes69.0ms (0.4%)

Memory

-20.7MiB live, 70.6MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))

Calls

6 calls:

25.0ms	d
19.0ms	h
6.0ms	M
6.0ms	l
6.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
53.9%	3	`h`
45.1%	2	`M`
45.4%	2	`(*.f64 M D)`
51.8%	2	`l`
47.8%	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))))`
53.5%	3	`d`

Compiler

Compiled 42 to 48 computations (-14.3% saved)

regimes22.0ms (0.1%)

Memory

-2.9MiB live, 39.4MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))

Calls

3 calls:

9.0ms	l
6.0ms	h
6.0ms	d

Results

Accuracy	Segments	Branch
48.7%	2	`l`
50.7%	3	`d`
52.2%	3	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes9.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))

Calls

2 calls:

4.0ms	d
4.0ms	h

Results

Accuracy	Segments	Branch
49.0%	2	`d`
48.5%	2	`h`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes18.0ms (0.1%)

Memory

-22.6MiB live, 30.4MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

8.0ms	h
3.0ms	D
3.0ms	d
3.0ms	l

Results

Accuracy	Segments	Branch
36.4%	2	`D`
46.9%	2	`h`
47.7%	2	`l`
48.1%	2	`d`

Compiler

Compiled 4 to 20 computations (-400% saved)

regimes19.0ms (0.1%)

Memory

-1.9MiB live, 41.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

6.0ms	D
2.0ms	d
2.0ms	l
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
27.8%	1	`D`
27.8%	1	`M`
27.8%	1	`(*.f64 M D)`
27.8%	1	`h`
27.8%	1	`l`
27.8%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
27.8%	1	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes9.0ms (0.1%)

Memory

30.9MiB live, 30.9MiB 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)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

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

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	D
1.0ms	(*.f64 M D)
1.0ms	h
1.0ms	M

Results

Accuracy	Segments	Branch
27.1%	1	`D`
27.1%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
27.1%	1	`d`
27.1%	1	`h`
27.1%	1	`M`
27.1%	1	`(*.f64 M D)`
27.1%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch78.0ms (0.5%)

Memory

7.9MiB live, 149.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
71.0ms	-1.1294162625281714e-280	-5.694146107713613e-304

Samples

32.0ms	176×	0	valid
22.0ms	156×	0	invalid

Compiler

Compiled 654 to 547 computations (16.4% saved)

Precisions

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

ival-div: 12.0ms (33.2% of total)

ival-mult: 11.0ms (30.4% of total)

ival-pow: 8.0ms (22.1% of total)

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

ival-sub: 2.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch108.0ms (0.6%)

Memory

-23.7MiB live, 211.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-1.3172244560424025e-308	2.4271206312263118e-307
49.0ms	-1.2757710169217136e-179	-2.776561194719131e-180

Samples

41.0ms	208×	0	valid
36.0ms	219×	0	invalid

Compiler

Compiled 932 to 717 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 18.0ms (33.5% of total)

ival-div: 15.0ms (27.9% of total)

ival-pow: 14.0ms (26% of total)

ival-pow2: 4.0ms (7.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (0.2%)

Memory

24.4MiB live, 69.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.3172244560424025e-308	2.4271206312263118e-307
35.0ms	-1.2757710169217136e-179	-2.776561194719131e-180

Samples

16.0ms	86×	0	invalid
13.0ms	80×	0	valid

Compiler

Compiled 914 to 705 computations (22.9% saved)

Precisions

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

ival-mult: 9.0ms (39.9% of total)

ival-div: 6.0ms (26.6% of total)

ival-pow: 5.0ms (22.2% of total)

ival-pow2: 2.0ms (8.9% of total)

ival-sub: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.3172244560424025e-308	2.4271206312263118e-307
1.0ms	-1.2757710169217136e-179	-2.776561194719131e-180

Compiler

Compiled 944 to 699 computations (26% saved)

bsearch7.0ms (0%)

Memory

-36.6MiB live, 9.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-1.3172244560424025e-308	2.4271206312263118e-307
1.0ms	-1.2757710169217136e-179	-2.776561194719131e-180

Compiler

Compiled 979 to 692 computations (29.3% saved)

bsearch103.0ms (0.6%)

Memory

31.9MiB live, 179.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	-1.1972078960976688e-279	-1.1294162625281714e-280
56.0ms	-9.19693339545076e-24	-5.50032155849816e-32

Samples

47.0ms	240×	0	valid
31.0ms	210×	0	invalid

Compiler

Compiled 1 133 to 867 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 26.0ms (44.2% of total)

ival-mult: 15.0ms (25.5% of total)

ival-pow: 10.0ms (17% of total)

ival-pow2: 5.0ms (8.5% of total)

ival-sub: 2.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch272.0ms (1.6%)

Memory

7.4MiB live, 434.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
66.0ms	-8.332162511669588e-305	8.800555516669906e-295
120.0ms	-6.227977693018904e-202	-3.842818141686236e-216
68.0ms	-6.640822924909869e-133	-5.0954493433671404e-138

Samples

124.0ms	462×	0	invalid
85.0ms	464×	0	valid

Compiler

Compiled 2 188 to 1 688 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 55.0ms (37.9% of total)

ival-div: 35.0ms (24.1% of total)

ival-pow: 33.0ms (22.7% of total)

ival-sub: 11.0ms (7.6% of total)

ival-pow2: 9.0ms (6.2% of total)

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

exact: 1.0ms (0.7% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.5433540921069493e+40	-6.395019841492996e+25

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch135.0ms (0.8%)

Memory

-13.6MiB live, 134.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
86.0ms	2.621308887094967e+68	5.389470255151826e+71
1.0ms	-1.3172244560424025e-308	2.4271206312263118e-307
39.0ms	-1.2950894694184128e-141	-1.8606929606319413e-142

Samples

48.0ms	212×	0	invalid
42.0ms	224×	0	valid

Compiler

Compiled 1 585 to 1 199 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-pow: 40.0ms (53.6% of total)

ival-div: 14.0ms (18.7% of total)

ival-mult: 13.0ms (17.4% of total)

ival-pow2: 4.0ms (5.4% of total)

ival-sub: 2.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch39.0ms (0.2%)

Memory

-7.9MiB live, 38.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-1.3172244560424025e-308	2.4271206312263118e-307
1.0ms	-1.2950894694184128e-141	-1.8606929606319413e-142

Samples

10.0ms	64×	0	valid
10.0ms	69×	0	invalid

Compiler

Compiled 1 131 to 847 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (27.7% of total)

ival-mult: 4.0ms (27.7% of total)

ival-pow: 4.0ms (27.7% of total)

ival-sub: 1.0ms (6.9% of total)

ival-pow2: 1.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.967119245824344e+76	-3.5433540921069493e+40

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.967119245824344e+76	-3.5433540921069493e+40

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch316.0ms (1.9%)

Memory

-19.1MiB live, 235.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
67.0ms	4.324484606402541e-37	9.034209588588713e-20
109.0ms	-5.694146107713613e-304	4.23080725662828e-305
97.0ms	-2.0108983000103755e-61	-5.793195505623479e-66

Samples

104.0ms	432×	0	valid
104.0ms	421×	0	invalid

Compiler

Compiled 2 087 to 1 638 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-pow: 32.0ms (32% of total)

ival-div: 28.0ms (28% of total)

ival-mult: 26.0ms (26% of total)

ival-pow2: 8.0ms (8% of total)

ival-sub: 4.0ms (4% of total)

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

exact: 1.0ms (1% of total)

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

bsearch3.0ms (0%)

Memory

4.6MiB live, 4.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.3172244560424025e-308	2.4271206312263118e-307
1.0ms	-1.2950894694184128e-141	-1.8606929606319413e-142

Compiler

Compiled 1 082 to 798 computations (26.2% saved)

bsearch63.0ms (0.4%)

Memory

5.8MiB live, 97.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.3172244560424025e-308	2.4271206312263118e-307
56.0ms	-1.8606929606319413e-142	-3.597641238836309e-145

Samples

26.0ms	149×	0	invalid
20.0ms	128×	0	valid

Compiler

Compiled 1 226 to 906 computations (26.1% saved)

Precisions

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

ival-div: 15.0ms (41.7% of total)

ival-mult: 8.0ms (22.2% of total)

ival-pow: 8.0ms (22.2% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.2%)

Memory

7.4MiB live, 52.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	6.280739013472403e-164	1.3483466936298283e-163

Samples

15.0ms	80×	0	valid
9.0ms	82×	0	invalid

Compiler

Compiled 458 to 330 computations (27.9% saved)

Precisions

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

ival-pow: 6.0ms (32.5% of total)

ival-div: 5.0ms (27% of total)

ival-mult: 5.0ms (27% of total)

ival-sub: 1.0ms (5.4% of total)

ival-pow2: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch78.0ms (0.5%)

Memory

-24.8MiB live, 74.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
58.0ms	-3.5180321659650906e-257	-2.019821356676673e-266

Samples

31.0ms	144×	0	valid
17.0ms	150×	0	invalid

Compiler

Compiled 785 to 561 computations (28.5% saved)

Precisions

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

ival-pow: 15.0ms (39.2% of total)

ival-div: 10.0ms (26.1% of total)

ival-mult: 9.0ms (23.5% of total)

ival-pow2: 3.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify79.0ms (0.5%)

Memory

44.2MiB live, 88.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	258	2050
1	345	2043
2	629	2043
3	2810	2043
4	7065	2043

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -3582559415229497/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (.f64 (/.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)) (sqrt.f64 h)) (/.f64 d (sqrt.f64 l))))
(if (<=.f64 h #s(literal -8759885985834615/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312 binary64)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l)) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 (/.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)) (sqrt.f64 h)) (/.f64 d (sqrt.f64 l)))))
(if (<=.f64 h #s(literal -7591901187723333/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 binary64)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l)) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 (/.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)) (sqrt.f64 h)) (/.f64 d (sqrt.f64 l)))))
(if (<=.f64 h #s(literal -7591901187723333/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 binary64)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) l))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 (/.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)) (sqrt.f64 h)) (/.f64 d (sqrt.f64 l)))))
(if (<=.f64 h #s(literal -7591901187723333/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 binary64)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) l))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) l))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))))
(if (<=.f64 d #s(literal -8711228593176025/10889035741470030830827987437816582766592 binary64)) (/.f64 (.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 d #s(literal -1175150774254043/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (.f64 (.f64 (fma.f64 (/.f64 #s(approx (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))) (neg.f64 l)) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) l))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))))
(if (<=.f64 l #s(literal -8882672753586971/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (/.f64 (.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 l #s(literal -1268600020513457/2757826131550993649364364103715456897804056554542556176448634698108099443712107910064330000971904293916892446775667965408323532095584366159791555750475533307061324308088589961496711008293655788792731796366049346060288 binary64)) (.f64 (.f64 #s(approx (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 l #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (.f64 #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) l))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h)))))))
(if (<=.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)))) #s(literal -20000000000000000607572056854007333781504 binary64)) (.f64 (.f64 #s(approx (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.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)))) #s(literal +inf.0 binary64)) (.f64 #s(approx (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (/.f64 #s(approx (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 h)) (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) l)) (sqrt.f64 l))))
(if (<=.f64 h #s(literal -6315613847320161/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (if (<=.f64 h #s(literal 269999999999999996596054710024560608687555683349923173708829909225308160 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 D M) (.f64 (.f64 D M) (.f64 (/.f64 h (.f64 l d)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l)) (/.f64 #s(approx ( (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 h)) (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) l)) (sqrt.f64 l)))))
(if (<=.f64 h #s(literal -6315613847320161/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (if (<=.f64 h #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (/.f64 #s(approx (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 h)) (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) l)) (sqrt.f64 l))))
(if (<=.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)))) #s(literal -49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (.f64 #s(approx (+ ( (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)))) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 #s(approx ( (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))))
(if (<=.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)))) #s(literal -49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)))) (.f64 #s(approx (* (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))))
(if (<=.f64 d #s(literal -1736881338559743/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (/.f64 (.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (if (<=.f64 d #s(literal 2151330410151089/187072209578355573530071658587684226515959365500928 binary64)) (/.f64 #s(approx (* (* (+ (* (* (pow (* D M) 2) -1/4) (/ h (* d l))) 1) (sqrt (/ d h))) (sqrt d)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 h)) (.f64 (/.f64 (.f64 M M) l) (.f64 D D)))) (sqrt.f64 l)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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)))))
(if (<=.f64 h #s(literal -6315613847320161/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))))
(if (<=.f64 h #s(literal -56291340813071/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (.f64 #s(approx ( (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))))
(if (<=.f64 d #s(literal 1069796982602131/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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)))
(if (<=.f64 d #s(literal -2683229055419289/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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)) (sqrt (/ d l))) (- 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)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Outputs
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(if (<=.f64 d #s(literal -3582559415229497/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 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 h (pow.f64 (/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)) (sqrt.f64 h)) (/.f64 d (sqrt.f64 l))))
(if (<=.f64 h #s(literal -8759885985834615/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312 binary64)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l)) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 (/.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)) (sqrt.f64 h)) (/.f64 d (sqrt.f64 l)))))
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(if (<=.f64 h #s(literal -56291340813071/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (.f64 #s(approx ( (+ (* (/ (* (pow (/ (* (/ D d) M) 2) 2) 1/2) (neg l)) h) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 (sqrt.f64 l) (sqrt.f64 h)) #s(literal -1 binary64)) d))))
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(if (<=.f64 d #s(literal -2683229055419289/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
(if (<=.f64 d #s(literal -2683229055419289/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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)) (sqrt (/ d l))) (- 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)) (sqrt (/ d l))) (- 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)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

soundness2.1s (12.4%)

Memory

52.6MiB live, 1 674.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	2120
1	1219	1963
2	4898	1956
0	8203	1902
0	224	1052
1	708	990
2	2699	963
0	8350	937
0	53	225
0	88	214
1	236	206
2	1289	186
0	10094	186
0	62	223
1	165	201
2	612	201
3	3951	201
0	8151	194
0	411	2230
1	1402	2058
2	5755	2052
0	8672	1995
0	66	375
0	106	371
1	299	353
2	1665	341
0	8669	337
0	20	50
0	34	48
1	100	48
2	521	48
3	6486	48
0	8448	47
0	76	361
0	126	353
1	383	329
2	2192	317
0	8392	315

Stop Event

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

Compiler

Compiled 5 567 to 2 137 computations (61.6% saved)

preprocess305.0ms (1.8%)

Memory: -39.1MiB live, 314.7MiB allocated
Remove: (abs D)
Compiler: Compiled 5 566 to 1 410 computations (74.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze464.0ms (2.8%)

sample6.3s (37.3%)

explain333.0ms (2%)

preprocess148.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify120.0ms (0.7%)

localize82.0ms (0.5%)

series85.0ms (0.5%)

simplify103.0ms (0.6%)

rewrite167.0ms (1%)

eval47.0ms (0.3%)

prune25.0ms (0.1%)

simplify165.0ms (1%)

localize173.0ms (1%)

series192.0ms (1.1%)

simplify138.0ms (0.8%)

rewrite245.0ms (1.5%)

eval318.0ms (1.9%)

prune128.0ms (0.8%)

simplify123.0ms (0.7%)

localize229.0ms (1.4%)

series118.0ms (0.7%)

simplify145.0ms (0.9%)

rewrite216.0ms (1.3%)

eval96.0ms (0.6%)

prune88.0ms (0.5%)

simplify119.0ms (0.7%)

localize248.0ms (1.5%)

series186.0ms (1.1%)

simplify193.0ms (1.2%)

rewrite248.0ms (1.5%)

eval168.0ms (1%)

prune183.0ms (1.1%)

regimes446.0ms (2.7%)

regimes175.0ms (1%)

regimes184.0ms (1.1%)

regimes59.0ms (0.4%)

regimes95.0ms (0.6%)

regimes94.0ms (0.6%)

regimes54.0ms (0.3%)

regimes62.0ms (0.4%)

regimes17.0ms (0.1%)

regimes25.0ms (0.1%)

regimes90.0ms (0.5%)

regimes8.0ms (0%)

regimes21.0ms (0.1%)

regimes69.0ms (0.4%)

regimes22.0ms (0.1%)

regimes9.0ms (0.1%)

regimes18.0ms (0.1%)

regimes19.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch78.0ms (0.5%)

bsearch108.0ms (0.6%)

bsearch40.0ms (0.2%)

bsearch3.0ms (0%)

bsearch7.0ms (0%)

bsearch103.0ms (0.6%)

bsearch272.0ms (1.6%)

bsearch1.0ms (0%)

bsearch135.0ms (0.8%)

bsearch39.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch316.0ms (1.9%)

bsearch3.0ms (0%)

bsearch63.0ms (0.4%)

bsearch33.0ms (0.2%)

bsearch78.0ms (0.5%)

simplify79.0ms (0.5%)

soundness2.1s (12.4%)

preprocess305.0ms (1.8%)

end0.0ms (0%)

Profiling