Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze587.0ms (3.4%)

Memory

32.7MiB live, 701.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample6.7s (39.2%)

Memory

-1.5MiB live, 6 356.9MiB allocated

Samples

3.1s	13 202×	0	invalid
1.9s	8 256×	0	valid

Precisions

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

ival-div: 1.5s (37.6% of total)

ival-mult: 1.1s (29.4% of total)

ival-pow: 799.0ms (20.7% of total)

ival-pow2: 288.0ms (7.4% of total)

ival-sub: 135.0ms (3.5% of total)

exact: 24.0ms (0.6% of total)

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

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

Bogosity

explain424.0ms (2.5%)

Memory

-10.0MiB live, 590.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
68	-	1	(7.22480544287791e-286 3.0131599853860433e+24 5.450822706172286e-305 -4.723952413184039e+260 -3.6017610197267755e-171)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
53	-	0	-	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
37	-	1	(7.187929881641095e+111 7.77824597511206e-117 4.4371841973371236e+195 -1.317537041521653e+192 -6.754057743714082e-52)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
34	-	1	(2.8075787516917927e-24 4.268388374605484e+162 1.8750248007357884e-174 9.993818660411843e-251 -2.5654771349273423e-72)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
18	-	1	(1.2232989391677921e-145 1.3511701846796386e+51 1.4320803911763309e+299 -2.4831152813348255e+92 -2.793565273013561e-49)	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	38	0
↳	`(/.f64 d h)`	overflow	38
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	29	0
↳	`(/.f64 d h)`	underflow	29
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	28	0
↳	`(/.f64 d l)`	overflow	28
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	25	0
↳	`(/.f64 d l)`	underflow	25
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	15	0
↳	`(*.f64 M D)`	overflow	33
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	11	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	7	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	7	0
↳	`(/.f64 d h)`	underflow	29
↳	`(/.f64 d l)`	underflow	25
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	15
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	77
↳	`(.f64 (/.f64 #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	77
↳	`(/.f64 h l)`	overflow	35
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	77
↳	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	overflow	77
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	36
`*.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**	6	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	77
↳	`(.f64 (/.f64 #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	77
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	36
↳	`(/.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**	3	0

Confusion

	Predicted +	Predicted -
+	81	5
-	37	133

Precision

0.6864406779661016

Recall

0.9418604651162791

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	5
-	37	0	133

Precision?

0.6864406779661016

Recall?

0.9418604651162791

Freqs

test

number	freq
0	138
1	80
2	25
3	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

106.0ms

512×

valid

Compiler

Compiled 501 to 92 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-pow: 21.0ms (31.5% of total)

ival-div: 19.0ms (28.5% of total)

ival-mult: 17.0ms (25.5% of total)

ival-pow2: 6.0ms (9% of total)

ival-sub: 3.0ms (4.5% of total)

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

exact: 1.0ms (1.5% of total)

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

preprocess205.0ms (1.2%)

Memory

20.3MiB live, 239.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.5%	(.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

▶

67.5%

(*.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)

simplify142.0ms (0.8%)

Memory

-7.6MiB live, 120.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (0.5%)

Memory

-1.3MiB live, 119.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	8.02729427762313	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	8.232418105068463	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	12.583060186473524	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.886747660978227	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 310 to 46 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-pow: 14.0ms (34% of total)

ival-mult: 13.0ms (31.6% of total)

ival-div: 10.0ms (24.3% of total)

ival-pow2: 3.0ms (7.3% of total)

ival-sub: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.3%)

Memory

-1.7MiB live, 71.4MiB allocated

Counts

6 → 17

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	h	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	d	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	M	@	inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	h	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
3.0ms	d	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))

simplify224.0ms (1.3%)

Memory

18.8MiB live, 218.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite182.0ms (1.1%)

Memory

7.2MiB live, 210.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 393

Calls

Call 1

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

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

eval59.0ms (0.3%)

Memory: -5.8MiB live, 107.0MiB allocated
Compiler: Compiled 17 549 to 1 978 computations (88.7% saved)

prune32.0ms (0.2%)

Memory

12.2MiB live, 57.6MiB allocated

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	378	26	404
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	379	26	405

Accuracy

91.2%

Counts

405 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.1%	(.f64 (.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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))))
	67.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/2 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))))
▶	71.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
▶	68.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
	70.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) h) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64)))
	66.4%	(.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 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	65.0%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) d)))
	66.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)))))
▶	73.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	62.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	54.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))))
	50.5%	(.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) #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)))))
	26.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) d) l) (*.f64 D (/.f64 D d)))))
▶	41.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	29.6%	(.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))))
	42.0%	(.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))))
	67.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	29.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.5%	(.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))))
	33.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	47.2%	(.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))))
▶	68.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	47.1%	(.f64 (.f64 (.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	47.2%	(.f64 (.f64 (.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.1%	(.f64 (.f64 (.f64 (pow.f64 d #s(literal 1/4 binary64)) (.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) (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 1 940 to 1 332 computations (31.3% saved)

simplify216.0ms (1.3%)

Memory

-30.1MiB live, 154.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	6848	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	682
0	117	659
1	224	633
2	723	621
3	4804	616
0	8881	612

Stop Event

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

Calls

Call 1

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

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

localize234.0ms (1.4%)

Memory

1.1MiB live, 312.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.111737324000735	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
accuracy	4.250339118139624	(/.f64 (/.f64 d D) M)
accuracy	12.583060186473524	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.886747660978227	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	4.111737324000735	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
accuracy	7.175999934919591	(.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))
accuracy	12.583060186473524	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.886747660978227	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.02729427762313	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	8.232418105068463	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	12.583060186473524	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.33597836900977	(sqrt.f64 (/.f64 h d))
accuracy	4.111737324000735	(.f64 (.f64 (pow.f64 (/.f64 d 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	12.583060186473524	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.886747660978227	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	30.883425826032564	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	4.145386902403127	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
accuracy	4.511632294316384	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
accuracy	12.583060186473524	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.886747660978227	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

154.0ms

256×

valid

Compiler

Compiled 1 518 to 130 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-div: 40.0ms (38.2% of total)

ival-mult: 34.0ms (32.5% of total)

ival-pow: 19.0ms (18.2% of total)

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

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

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

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

exact: 1.0ms (1% of total)

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

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

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

series146.0ms (0.8%)

Memory

11.9MiB live, 207.1MiB allocated

Counts

17 → 42

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
49.0ms	M	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* 1/2 (* D 1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ (/ d D) M) 2) -2)) l) h) 1)) (/ (* (* (/ 1/2 d) M) D) l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ h d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (/ (neg h) l) (* (* 1/2 (* D 1/2)) (/ M d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (* (/ (neg h) l) (* (* 1/2 (* D 1/2)) (/ M d))) (* (* (/ 1/2 d) M) D)) 1)) (/ (/ d D) M))
12.0ms	d	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* 1/2 (* D 1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ (/ d D) M) 2) -2)) l) h) 1)) (/ (* (* (/ 1/2 d) M) D) l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ h d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (/ (neg h) l) (* (* 1/2 (* D 1/2)) (/ M d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (* (/ (neg h) l) (* (* 1/2 (* D 1/2)) (/ M d))) (* (* (/ 1/2 d) M) D)) 1)) (/ (/ d D) M))
10.0ms	h	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* 1/2 (* D 1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ (/ d D) M) 2) -2)) l) h) 1)) (/ (* (* (/ 1/2 d) M) D) l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ h d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (/ (neg h) l) (* (* 1/2 (* D 1/2)) (/ M d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (* (/ (neg h) l) (* (* 1/2 (* D 1/2)) (/ M d))) (* (* (/ 1/2 d) M) D)) 1)) (/ (/ d D) M))
8.0ms	h	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* 1/2 (* D 1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ (/ d D) M) 2) -2)) l) h) 1)) (/ (* (* (/ 1/2 d) M) D) l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ h d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (/ (neg h) l) (* (* 1/2 (* D 1/2)) (/ M d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (* (/ (neg h) l) (* (* 1/2 (* D 1/2)) (/ M d))) (* (* (/ 1/2 d) M) D)) 1)) (/ (/ d D) M))
7.0ms	l	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* 1/2 (* D 1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ (/ d D) M) 2) -2)) l) h) 1)) (/ (* (* (/ 1/2 d) M) D) l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ h d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (/ (neg h) l) (* (* 1/2 (* D 1/2)) (/ M d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (* (/ (neg h) l) (* (* 1/2 (* D 1/2)) (/ M d))) (* (* (/ 1/2 d) M) D)) 1)) (/ (/ d D) M))

simplify122.0ms (0.7%)

Memory

3.2MiB live, 158.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	709
1	477	659
2	1699	649
3	4089	634
0	8161	618

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

Calls

Call 1

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

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

rewrite159.0ms (0.9%)

Memory

-11.2MiB live, 187.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	225
0	108	209
1	346	181
2	2373	181
0	8384	181

Stop Event

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

Counts

17 → 776

Calls

Call 1

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

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

eval173.0ms (1%)

Memory: 34.0MiB live, 222.9MiB allocated
Compiler: Compiled 40 857 to 3 659 computations (91% saved)

prune64.0ms (0.4%)

Memory

-28.7MiB live, 129.3MiB allocated

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	999	40	1 039
Fresh	20	1	21
Picked	5	0	5
Done	0	0	0
Total	1 024	41	1 065

Accuracy

95.2%

Counts

1 065 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.2%	(fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) l) (.f64 h (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	44.9%	(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	43.4%	(fma.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (.f64 D (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	44.9%	(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	44.8%	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))) D (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
▶	39.3%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l))) (.f64 l #s(literal 1 binary64))) (.f64 l (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l)))))
	56.0%	(.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	25.1%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) (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))))
	51.1%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h 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))))
▶	74.1%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 h d) #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 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	71.8%	(.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 (/.f64 (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
	50.5%	(.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) #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)))))
	30.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
	20.6%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	42.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
	24.5%	(.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)))
	41.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	30.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
	71.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	12.2%	(.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)))
	35.7%	(.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 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	36.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	20.8%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	48.9%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	28.1%	(.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)))
	56.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (/.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal 1/8 binary64)) d) (/.f64 (*.f64 D D) d)))))
	42.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	30.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.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))))
	41.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.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))))
	48.9%	(.f64 (.f64 (.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	47.9%	(.f64 (.f64 (.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
	41.4%	(.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (sqrt.f64 d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	41.5%	(.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)))
	34.0%	(.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)))
	47.0%	(.f64 #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	30.5%	(.f64 #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	38.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
▶	18.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	13.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	30.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 3 132 to 2 212 computations (29.4% saved)

simplify149.0ms (0.9%)

Memory

11.7MiB live, 134.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l))) (*.f64 l #s(literal 1 binary64)))
cost-diff	320	(*.f64 l #s(literal 1 binary64))
cost-diff	384	(/.f64 (/.f64 h d) (/.f64 d l))
cost-diff	0	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d))
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
cost-diff	0	(*.f64 D D)
cost-diff	0	(.f64 (.f64 D D) #s(literal -1/8 binary64))
cost-diff	0	(.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
cost-diff	0	(*.f64 l h)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	6464	(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
cost-diff	6848	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	727
0	149	712
1	275	694
2	803	686
3	3824	686
4	7456	686
0	8347	681

Stop Event

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

Calls

Call 1

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

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

localize342.0ms (2%)

Memory

-8.0MiB live, 423.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	9.507373060700974	(.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
accuracy	13.265426016306417	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l))) (.f64 l #s(literal 1 binary64))) (.f64 l (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l)))))
accuracy	20.346298213406797	(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
accuracy	20.87674949556953	(sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l)))
accuracy	13.547236200278014	(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
accuracy	13.668403204375407	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d))
accuracy	13.796278193438107	(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy	15.682731972882744	(sqrt.f64 (/.f64 h l))
accuracy	12.282031493361025	(.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))))))
accuracy	13.43889136560252	(.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
accuracy	21.02062088276453	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	44.45376220704433	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
accuracy	0.25390625	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.40008651393183103	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	12.580615808386355	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	42.30533945082063	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
accuracy	4.145386902403127	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
accuracy	4.511632294316384	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
accuracy	12.583060186473524	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.52468935024134	(pow.f64 (/.f64 h d) #s(literal -1/4 binary64))

Samples

195.0ms

256×

valid

Compiler

Compiled 1 457 to 176 computations (87.9% saved)

Precisions

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

ival-mult: 66.0ms (42.3% of total)

ival-pow: 35.0ms (22.4% of total)

ival-div: 32.0ms (20.5% of total)

ival-sqrt: 12.0ms (7.7% of total)

ival-pow2: 5.0ms (3.2% of total)

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

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

exact: 1.0ms (0.6% of total)

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

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

series299.0ms (1.7%)

Memory

48.1MiB live, 396.9MiB allocated

Counts

30 → 86

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
52.0ms	d	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (pow (/ h d) -1/4) 2) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* D D) -1/8) (* (/ (* M M) d) (sqrt (/ h (pow l 3))))) (* (* D D) -1/8) (* D D) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (/ (/ h d) (/ d l)) (* l 1) (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (pow (/ h d) -1/4) (/ (* (* (/ 1/2 d) M) D) l) (/ 1 (* l h)) (sqrt (/ h (pow l 3))) (* (/ (* M M) d) (sqrt (/ h (pow l 3)))) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (/ (/ h d) (/ d l))) (sqrt (* (/ d l) (/ d h))) (/ (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (* l (sqrt (/ (/ h d) (/ d l))))))
49.0ms	d	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (pow (/ h d) -1/4) 2) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* D D) -1/8) (* (/ (* M M) d) (sqrt (/ h (pow l 3))))) (* (* D D) -1/8) (* D D) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (/ (/ h d) (/ d l)) (* l 1) (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (pow (/ h d) -1/4) (/ (* (* (/ 1/2 d) M) D) l) (/ 1 (* l h)) (sqrt (/ h (pow l 3))) (* (/ (* M M) d) (sqrt (/ h (pow l 3)))) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (/ (/ h d) (/ d l))) (sqrt (* (/ d l) (/ d h))) (/ (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (* l (sqrt (/ (/ h d) (/ d l))))))
41.0ms	h	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (pow (/ h d) -1/4) 2) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* D D) -1/8) (* (/ (* M M) d) (sqrt (/ h (pow l 3))))) (* (* D D) -1/8) (* D D) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (/ (/ h d) (/ d l)) (* l 1) (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (pow (/ h d) -1/4) (/ (* (* (/ 1/2 d) M) D) l) (/ 1 (* l h)) (sqrt (/ h (pow l 3))) (* (/ (* M M) d) (sqrt (/ h (pow l 3)))) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (/ (/ h d) (/ d l))) (sqrt (* (/ d l) (/ d h))) (/ (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (* l (sqrt (/ (/ h d) (/ d l))))))
29.0ms	h	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (pow (/ h d) -1/4) 2) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* D D) -1/8) (* (/ (* M M) d) (sqrt (/ h (pow l 3))))) (* (* D D) -1/8) (* D D) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (/ (/ h d) (/ d l)) (* l 1) (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (pow (/ h d) -1/4) (/ (* (* (/ 1/2 d) M) D) l) (/ 1 (* l h)) (sqrt (/ h (pow l 3))) (* (/ (* M M) d) (sqrt (/ h (pow l 3)))) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (/ (/ h d) (/ d l))) (sqrt (* (/ d l) (/ d h))) (/ (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (* l (sqrt (/ (/ h d) (/ d l))))))
25.0ms	d	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (pow (/ h d) -1/4) 2) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* D D) -1/8) (* (/ (* M M) d) (sqrt (/ h (pow l 3))))) (* (* D D) -1/8) (* D D) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (/ (/ h d) (/ d l)) (* l 1) (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (pow (/ h d) -1/4) (/ (* (* (/ 1/2 d) M) D) l) (/ 1 (* l h)) (sqrt (/ h (pow l 3))) (* (/ (* M M) d) (sqrt (/ h (pow l 3)))) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (/ (/ h d) (/ d l))) (sqrt (* (/ d l) (/ d h))) (/ (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (* l (sqrt (/ (/ h d) (/ d l))))))

simplify165.0ms (1%)

Memory

-7.2MiB live, 181.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	276	1555
1	821	1425
2	2917	1409
3	6686	1363
0	8383	1332

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 85

Calls

Call 1

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

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

rewrite220.0ms (1.3%)

Memory

11.1MiB live, 257.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	440
0	140	418
1	470	409
2	2962	392
0	8543	389

Stop Event

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

Counts

30 → 870

Calls

Call 1

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

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

eval150.0ms (0.9%)

Memory: -12.4MiB live, 363.3MiB allocated
Compiler: Compiled 56 366 to 4 397 computations (92.2% saved)

prune134.0ms (0.8%)

Memory

-1.6MiB live, 226.5MiB allocated

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	1 030	30	1 060
Fresh	18	18	36
Picked	4	1	5
Done	0	0	0
Total	1 052	49	1 101

Accuracy

97.5%

Counts

1 101 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.2%	(fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) l) (.f64 h (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	43.4%	(fma.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (.f64 D (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	44.9%	(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	44.8%	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))) D (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	36.1%	(/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) h) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))) (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l))) (.f64 l #s(literal 1 binary64))) (.f64 l (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l)))))
	39.7%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l))) (.f64 l #s(literal 1 binary64))) (.f64 l (pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d l) h) d) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
	14.2%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l))) (.f64 l #s(literal 1 binary64))) (.f64 l #s(approx (sqrt (/ (/ h d) (/ d l))) (/.f64 (sqrt.f64 (*.f64 l h)) (neg.f64 d)))))
	45.9%	(/.f64 #s(approx (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M M) d))) (/.f64 (.f64 D D) d) l)) (*.f64 l (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l)))))
	23.8%	(/.f64 #s(approx (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (.f64 D D) (.f64 (.f64 d d) l)) (.f64 d d))) (.f64 l (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l)))))
	23.9%	(/.f64 #s(approx (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M M) d))) (/.f64 (.f64 D D) d))) (.f64 l (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l)))))
	37.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 h) (fabs.f64 d)) (sqrt.f64 l)) l) (fma.f64 (.f64 (/.f64 (sqrt.f64 h) (fabs.f64 d)) (sqrt.f64 l)) (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (.f64 (*.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h)) l)))
	56.0%	(.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
▶	38.9%	(.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 h) (fabs.f64 d)) (sqrt.f64 l)) (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h)) l) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) l))
	51.1%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h 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))))
	30.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
	42.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
▶	41.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	30.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
	35.7%	(.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 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	36.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	48.9%	(.f64 (.f64 (.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	41.5%	(.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)))
	34.0%	(.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)))
	47.0%	(.f64 #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	30.5%	(.f64 #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	19.5%	#s(approx (/ (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (* l (sqrt (/ (/ h d) (/ d l))))) (.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)))) (neg.f64 d)))
▶	58.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
▶	46.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	46.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 M (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (.f64 (.f64 d d) (/.f64 h l))) (pow.f64 h #s(literal -1 binary64))) (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))))
	28.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))) h))
	39.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	14.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
▶	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	58.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 h (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)))))
	30.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l)) d))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	22.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) M) (/.f64 M d))))
	21.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (.f64 #s(literal -1/8 binary64) (.f64 D D)))))
	13.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (*.f64 (neg.f64 M) (/.f64 M d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	23.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (*.f64 (/.f64 M d) M) (sqrt.f64 h)) (pow.f64 l #s(literal 3/2 binary64)))))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (sqrt.f64 (/.f64 h (.f64 l l))) (sqrt.f64 l)))))
	21.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)))))
	22.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (.f64 (/.f64 M d) (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h))))))
	20.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 l))) d))
✓	30.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	29.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))

Compiler

Compiled 4 720 to 3 024 computations (35.9% saved)

simplify122.0ms (0.7%)

Memory

5.8MiB live, 163.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sqrt.f64 h) (fabs.f64 d))
cost-diff	0	(*.f64 (/.f64 (sqrt.f64 h) (fabs.f64 d)) (sqrt.f64 l))
cost-diff	0	(.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 h) (fabs.f64 d)) (sqrt.f64 l)) (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h)) l) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) l))
cost-diff	960	(fma.f64 (.f64 (/.f64 (sqrt.f64 h) (fabs.f64 d)) (sqrt.f64 l)) (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (.f64 (*.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h)) l)
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
cost-diff	320	(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(literal -1/8 binary64) (.f64 M M))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
cost-diff	1664	(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d))
cost-diff	0	(*.f64 l h)
cost-diff	0	(sqrt.f64 (*.f64 l h))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 l h)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
cost-diff	0	(pow.f64 (/.f64 h l) #s(literal 3/2 binary64))
cost-diff	0	(fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	626
0	121	615
1	208	593
2	565	593
3	2818	593
4	5279	587
0	8419	577

Stop Event

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

Calls

Call 1

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

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

localize244.0ms (1.4%)

Memory

-19.9MiB live, 294.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.146310904478591	(fma.f64 (.f64 (/.f64 (sqrt.f64 h) (fabs.f64 d)) (sqrt.f64 l)) (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (.f64 (*.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h)) l)
accuracy	4.536221458905467	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h))
accuracy	4.888532836838047	(sqrt.f64 (*.f64 l h))
accuracy	6.305881628997108	(.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 h) (fabs.f64 d)) (sqrt.f64 l)) (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h)) l) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) l))
accuracy	1.6333866871367555	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
accuracy	6.085957302059743	(sqrt.f64 (/.f64 l d))
accuracy	8.553912524457331	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	17.49501078910561	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	4.489868457769537	(/.f64 (*.f64 D D) d)
accuracy	7.333964082216913	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d))
accuracy	7.992453661688608	(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy	9.56128299425184	(sqrt.f64 (/.f64 h l))
accuracy	0.0	(*.f64 l h)
accuracy	0.12890625	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	4.888532836838047	(sqrt.f64 (*.f64 l h))
accuracy	17.178190459518813	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	1.838231459764082	(/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
accuracy	3.1281976878371633	(/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)
accuracy	7.992453661688608	(fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy	9.56128299425184	(sqrt.f64 (/.f64 h l))

Samples

127.0ms	146×	0	valid
60.0ms	110×	0	invalid

Compiler

Compiled 1 256 to 144 computations (88.5% saved)

Precisions

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

ival-pow2: 55.0ms (35.3% of total)

ival-mult: 33.0ms (21.2% of total)

ival-div: 30.0ms (19.3% of total)

ival-pow: 21.0ms (13.5% of total)

ival-sqrt: 9.0ms (5.8% of total)

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

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

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

exact: 1.0ms (0.6% of total)

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

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

series152.0ms (0.9%)

Memory

33.7MiB live, 233.9MiB allocated

Counts

27 → 93

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
32.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) h) (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) (pow (/ h l) 3/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) h) (* -1/8 (* M M)) (pow (/ d h) (/ 1 2)) (/ 1 2) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (/ (sqrt h) (fabs d)) (sqrt l)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h))) l) (* (+ (* (* (/ (sqrt h) (fabs d)) (sqrt l)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h))) l) (/ (/ (fabs d) (sqrt (* l h))) l)) (* (/ (sqrt h) (fabs d)) (sqrt l)) (/ (sqrt h) (fabs d)) (sqrt (/ h l)) (/ (pow (* M D) 2) d) (* (* -1/8 (* M M)) (/ (* D D) d)) (/ (* D D) d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ l d)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h)))
18.0ms	l	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) h) (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) (pow (/ h l) 3/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) h) (* -1/8 (* M M)) (pow (/ d h) (/ 1 2)) (/ 1 2) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (/ (sqrt h) (fabs d)) (sqrt l)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h))) l) (* (+ (* (* (/ (sqrt h) (fabs d)) (sqrt l)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h))) l) (/ (/ (fabs d) (sqrt (* l h))) l)) (* (/ (sqrt h) (fabs d)) (sqrt l)) (/ (sqrt h) (fabs d)) (sqrt (/ h l)) (/ (pow (* M D) 2) d) (* (* -1/8 (* M M)) (/ (* D D) d)) (/ (* D D) d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ l d)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h)))
16.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) h) (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) (pow (/ h l) 3/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) h) (* -1/8 (* M M)) (pow (/ d h) (/ 1 2)) (/ 1 2) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (/ (sqrt h) (fabs d)) (sqrt l)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h))) l) (* (+ (* (* (/ (sqrt h) (fabs d)) (sqrt l)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h))) l) (/ (/ (fabs d) (sqrt (* l h))) l)) (* (/ (sqrt h) (fabs d)) (sqrt l)) (/ (sqrt h) (fabs d)) (sqrt (/ h l)) (/ (pow (* M D) 2) d) (* (* -1/8 (* M M)) (/ (* D D) d)) (/ (* D D) d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ l d)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h)))
9.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) h) (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) (pow (/ h l) 3/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) h) (* -1/8 (* M M)) (pow (/ d h) (/ 1 2)) (/ 1 2) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (/ (sqrt h) (fabs d)) (sqrt l)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h))) l) (* (+ (* (* (/ (sqrt h) (fabs d)) (sqrt l)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h))) l) (/ (/ (fabs d) (sqrt (* l h))) l)) (* (/ (sqrt h) (fabs d)) (sqrt l)) (/ (sqrt h) (fabs d)) (sqrt (/ h l)) (/ (pow (* M D) 2) d) (* (* -1/8 (* M M)) (/ (* D D) d)) (/ (* D D) d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ l d)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h)))
9.0ms	l	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) h) (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) (pow (/ h l) 3/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) h) (* -1/8 (* M M)) (pow (/ d h) (/ 1 2)) (/ 1 2) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (/ (sqrt h) (fabs d)) (sqrt l)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h))) l) (* (+ (* (* (/ (sqrt h) (fabs d)) (sqrt l)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h))) l) (/ (/ (fabs d) (sqrt (* l h))) l)) (* (/ (sqrt h) (fabs d)) (sqrt l)) (/ (sqrt h) (fabs d)) (sqrt (/ h l)) (/ (pow (* M D) 2) d) (* (* -1/8 (* M M)) (/ (* D D) d)) (/ (* D D) d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ l d)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h)))

simplify191.0ms (1.1%)

Memory

-11.7MiB live, 141.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	1948
1	920	1831
2	3335	1807
0	8314	1762

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 92

Calls

Call 1

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

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

rewrite324.0ms (1.9%)

Memory

15.9MiB live, 204.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	468
0	121	440
1	397	424
2	2728	394
0	8956	381

Stop Event

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

Counts

27 → 940

Calls

Call 1

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

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) h))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (.f64 (.f64 d d) (/.f64 h l))) (sqrt.f64 (/.f64 h l))) (/.f64 (pow.f64 h #s(literal -1 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l)) d)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) h) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)))))))
(.f64 (pow.f64 (/.f64 h (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (.f64 (.f64 d d) (/.f64 h l)))) #s(literal -1 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l)) d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 h (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) (pow.f64 (/.f64 h l) #s(literal 9/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) #s(literal -1 binary64)))
(.f64 (pow.f64 h #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 h #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)))
(.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d))) (pow.f64 (neg.f64 h) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) h) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l)) d)) (.f64 (sqrt.f64 (/.f64 h l)) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l)) d))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) (pow.f64 h #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) h))
(pow.f64 (/.f64 (/.f64 h (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 h (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (.f64 (.f64 d d) (/.f64 h l))) (pow.f64 h #s(literal -1 binary64)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 h l)) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l)) d))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) (pow.f64 (/.f64 h l) #s(literal 9/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64))) (pow.f64 h #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)))))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) #s(literal 1 binary64))) (neg.f64 h))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d))))) (neg.f64 (neg.f64 (neg.f64 h))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (.f64 (.f64 d d) (/.f64 h l))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l)) d)) h)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) (pow.f64 (/.f64 h l) #s(literal 9/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))))) h)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (.f64 (.f64 d d) (/.f64 h l))) (pow.f64 h #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 h l)) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l)) d)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) (pow.f64 (/.f64 h l) #s(literal 9/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64))) (pow.f64 h #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) #s(literal 1 binary64)) h)
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)))) (neg.f64 (neg.f64 h)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (.f64 (.f64 d d) (/.f64 h l)))) (neg.f64 (.f64 h (.f64 (sqrt.f64 (/.f64 h l)) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l)) d)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) (pow.f64 (/.f64 h l) #s(literal 9/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64)))) (neg.f64 (.f64 h (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (.f64 (.f64 d d) (/.f64 h l))) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l)) d)) h))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) (pow.f64 (/.f64 h l) #s(literal 9/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))))) h))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (.f64 (.f64 d d) (/.f64 h l))) (.f64 h (.f64 (sqrt.f64 (/.f64 h l)) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l)) d))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) (pow.f64 (/.f64 h l) #s(literal 9/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64))) (.f64 h (fma.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d))) (neg.f64 h))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 h (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 h (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)))))
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(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (fabs.f64 d) h) (*.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64))) (sqrt.f64 l))) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (.f64 (neg.f64 (fabs.f64 d)) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 l h)))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h) (neg.f64 (fabs.f64 d)))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 l h)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (fabs.f64 d) h) (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 l h)))))
(/.f64 (neg.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d))))
(/.f64 (/.f64 (.f64 (.f64 (fabs.f64 d) h) (*.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64))) (sqrt.f64 l)) (sqrt.f64 h))
(/.f64 (.f64 (neg.f64 (fabs.f64 d)) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h)) (neg.f64 (sqrt.f64 (.f64 l h))))
(/.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h) (neg.f64 (fabs.f64 d))) (neg.f64 (sqrt.f64 (.f64 l h))))
(/.f64 (neg.f64 (.f64 (.f64 (fabs.f64 d) h) (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (sqrt.f64 (.f64 l h))))
(/.f64 (.f64 (.f64 (fabs.f64 d) h) (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (.f64 l h)) (.f64 (.f64 (fabs.f64 d) h) (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64))))))
(/.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (.f64 l h)) (.f64 (.f64 (fabs.f64 d) h) (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)))))

eval198.0ms (1.2%)

Memory: 4.7MiB live, 162.5MiB allocated
Compiler: Compiled 52 169 to 4 034 computations (92.3% saved)

prune236.0ms (1.4%)

Memory

-17.4MiB live, 192.3MiB allocated

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	959	23	982
Fresh	26	17	43
Picked	4	1	5
Done	0	1	1
Total	989	42	1 031

Accuracy

97.8%

Counts

1 031 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.4%	(fma.f64 (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (.f64 D (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	44.9%	(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	44.8%	(fma.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))) D (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	72.3%	(/.f64 (.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h l) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) l)
	69.1%	(/.f64 (.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h l) (fabs.f64 d)) (.f64 (sqrt.f64 (.f64 l h)) l))
	45.9%	(/.f64 #s(approx (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M M) d))) (/.f64 (.f64 D D) d) l)) (*.f64 l (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l)))))
	23.8%	(/.f64 #s(approx (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (.f64 D D) (.f64 (.f64 d d) l)) (.f64 d d))) (.f64 l (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l)))))
	23.9%	(/.f64 #s(approx (+ (* (* (* (* (pow (/ (/ d D) M) -2) -1/8) h) (sqrt (* (/ d l) (/ d h)))) (sqrt (/ (/ h d) (/ d l)))) (* l 1)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M M) d))) (/.f64 (.f64 D D) d))) (.f64 l (sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l)))))
	74.1%	(.f64 (fma.f64 (.f64 (/.f64 D d) M) (.f64 (.f64 (/.f64 D d) M) (.f64 #s(literal -1/8 binary64) h)) l) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) l))
	75.9%	(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) h l) (sqrt.f64 (*.f64 l h))) (/.f64 (fabs.f64 d) l))
	17.7%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) (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)))
	32.9%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 l h))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	34.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 h d) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	30.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
	48.9%	(.f64 (.f64 (.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	41.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	11.4%	(.f64 (.f64 #s(approx (pow (/ d h) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d h)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	34.0%	(.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)))
	30.1%	(.f64 #s(approx (+ ( (* (/ (sqrt h) (fabs d)) (sqrt l)) (* (/ (fabs d) (sqrt (* l h))) (* (* (pow (/ (/ d D) M) -2) -1/8) h))) l) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 D D) d))) (/.f64 (.f64 M M) d))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) l))
	60.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) d)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	50.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (/.f64 d D) D)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	64.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 h l) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	47.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 D D) d) (.f64 #s(literal -1/8 binary64) M)) M) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	54.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal -1/8 binary64)))) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) h) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64)))) (sqrt.f64 l) (.f64 (.f64 l d) (.f64 (sqrt.f64 h) d))) (.f64 (*.f64 l d) (sqrt.f64 l))) h))
	74.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) h))
	39.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	14.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (pow (/ h l) 3/2) (* (/ (pow (* M D) 2) d) -1/8)) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	30.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	74.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 h (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)))))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	28.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (/.f64 d (neg.f64 (sqrt.f64 h)))))
	22.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) M) (/.f64 M d))))
	21.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (.f64 #s(literal -1/8 binary64) (.f64 D D)))))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (sqrt.f64 (/.f64 h (.f64 l l))) (sqrt.f64 l)))))
	21.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)))))
	22.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (.f64 (/.f64 M d) (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h))))))
	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 l))) d))
✓	30.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 7 278 to 1 868 computations (74.3% saved)

regimes478.0ms (2.8%)

Memory

21.0MiB live, 375.8MiB allocated

Counts

120 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

78.0ms	(.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))))
75.0ms	D
74.0ms	d
68.0ms	h
63.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
89.3%	3	`d`
85.2%	2	`h`
85.2%	2	`l`
79.5%	2	`M`
80.5%	2	`D`
85.7%	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))))`
82.6%	3	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes96.0ms (0.6%)

Memory

-17.2MiB live, 94.1MiB allocated

Counts

103 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

50.0ms

Results

Accuracy	Segments	Branch
89.1%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes138.0ms (0.8%)

Memory

-2.8MiB live, 219.9MiB allocated

Counts

88 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

44.0ms	d
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))))
31.0ms	l
26.0ms	h

Results

Accuracy	Segments	Branch
81.4%	2	`l`
83.9%	3	`h`
83.9%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
86.1%	3	`d`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes90.0ms (0.5%)

Memory

9.7MiB live, 85.6MiB allocated

Counts

86 → 2

Calls

Call 1

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

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

Calls

2 calls:

60.0ms

(*.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))))

25.0ms

Results

Accuracy	Segments	Branch
83.9%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
84.2%	3	`d`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes29.0ms (0.2%)

Memory

4.5MiB live, 42.4MiB allocated

Counts

84 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

24.0ms

(*.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
83.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes29.0ms (0.2%)

Memory

-27.3MiB live, 54.8MiB allocated

Counts

83 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

22.0ms

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

Results

Accuracy	Segments	Branch
84.2%	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 35 to 22 computations (37.1% saved)

regimes32.0ms (0.2%)

Memory

22.7MiB live, 61.5MiB allocated

Counts

51 → 5

Calls

Call 1

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

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

Calls

2 calls:

15.0ms

13.0ms

(*.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
74.1%	1	`d`
87.2%	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 36 to 27 computations (25% saved)

regimes34.0ms (0.2%)

Memory

-21.6MiB live, 61.3MiB allocated

Counts

50 → 5

Calls

Call 1

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

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

Calls

2 calls:

16.0ms

14.0ms

(*.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
74.1%	1	`h`
86.5%	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 36 to 27 computations (25% saved)

regimes11.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

34 → 5

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
86.5%	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)

regimes12.0ms (0.1%)

Memory

-15.4MiB live, 23.3MiB allocated

Counts

33 → 5

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
86.4%	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)

regimes30.0ms (0.2%)

Memory

17.8MiB live, 56.7MiB allocated

Counts

32 → 4

Calls

Call 1

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

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

Calls

3 calls:

10.0ms

9.0ms

(*.f64 M D)

9.0ms

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

Results

Accuracy	Segments	Branch
76.4%	2	`(*.f64 M D)`
76.0%	2	`l`
84.1%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 39 to 33 computations (15.4% saved)

regimes55.0ms (0.3%)

Memory

-26.1MiB live, 99.0MiB allocated

Counts

22 → 5

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	(*.f64 M D)
8.0ms	h
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))))
7.0ms	l
7.0ms	D

Results

Accuracy	Segments	Branch
54.1%	4	`h`
57.4%	4	`d`
59.5%	6	`l`
61.3%	2	`(*.f64 M D)`
62.1%	4	`M`
55.0%	2	`D`
71.4%	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 43 to 53 computations (-23.3% saved)

regimes21.0ms (0.1%)

Memory

18.5MiB live, 57.6MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

Calls

3 calls:

7.0ms

(*.f64 M D)

7.0ms

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
50.7%	2	`M`
51.9%	2	`(*.f64 M D)`
58.4%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 39 to 33 computations (15.4% saved)

regimes90.0ms (0.5%)

Memory

-31.0MiB live, 50.4MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	(.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))))
27.0ms	l
6.0ms	d
6.0ms	D

Results

Accuracy	Segments	Branch
55.6%	4	`l`
50.9%	3	`d`
44.4%	2	`D`
53.6%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes7.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

17 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
55.3%	4	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes10.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	l
4.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
44.9%	3	`(*.f64 M D)`
53.3%	3	`l`

Compiler

Compiled 4 to 11 computations (-175% saved)

regimes45.0ms (0.3%)

Memory

-14.8MiB live, 24.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

34.0ms	h
3.0ms	l
3.0ms	M
3.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
44.2%	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))))`
41.8%	2	`M`
49.9%	2	`h`
49.2%	2	`l`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes7.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

2.0ms	h
2.0ms	l
2.0ms	d

Results

Accuracy	Segments	Branch
45.8%	2	`l`
45.9%	2	`d`
46.2%	2	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes68.0ms (0.4%)

Memory

-20.7MiB live, 18.6MiB allocated

Accuracy

Total -0.2b remaining (-0.5%)

Threshold costs -0.2b (-0.5%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

57.0ms	M
2.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms	l
2.0ms	h
2.0ms	D

Results

Accuracy	Segments	Branch
30.8%	1	`M`
30.8%	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))))`
30.8%	1	`(*.f64 M D)`
30.8%	1	`D`
30.8%	1	`l`
30.8%	1	`d`
30.8%	1	`h`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch197.0ms (1.1%)

Memory

26.0MiB live, 178.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
90.0ms	8.607151793867179e-123	1.1241186422297132e-106
84.0ms	-6.688701198389573e-168	-5.22321806212588e-171

Samples

98.0ms	288×	0	valid
52.0ms	372×	0	invalid

Compiler

Compiled 1 692 to 1 166 computations (31.1% saved)

Precisions

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

ival-mult: 48.0ms (47% of total)

ival-div: 23.0ms (22.5% of total)

ival-pow: 13.0ms (12.7% of total)

ival-sub: 10.0ms (9.8% of total)

ival-pow2: 7.0ms (6.9% of total)

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

exact: 1.0ms (1% of total)

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

bsearch76.0ms (0.4%)

Memory

-13.1MiB live, 73.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	8.607151793867179e-123	1.1241186422297132e-106
50.0ms	-6.688701198389573e-168	-5.22321806212588e-171

Samples

16.0ms	135×	0	invalid
15.0ms	96×	0	valid

Compiler

Compiled 1 620 to 1 126 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 8.0ms (33.9% of total)

ival-mult: 7.0ms (29.6% of total)

ival-pow: 4.0ms (16.9% of total)

ival-pow2: 2.0ms (8.5% of total)

ival-sub: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch101.0ms (0.6%)

Memory

17.8MiB live, 129.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	8.607151793867179e-123	1.1241186422297132e-106
90.0ms	-1.2410997082674843e-49	-2.9460918636261405e-56

Samples

41.0ms	144×	0	valid
26.0ms	209×	0	invalid

Compiler

Compiled 1 682 to 1 161 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 21.0ms (38.3% of total)

ival-mult: 21.0ms (38.3% of total)

ival-pow: 6.0ms (10.9% of total)

ival-pow2: 4.0ms (7.3% of total)

ival-sub: 2.0ms (3.6% 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

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4654465970545854e+282	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4654465970545854e+282	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4654465970545854e+282	+inf
0.0ms	1.0994009186191832e-183	2.409560056589688e-177

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.4654465970545854e+282	+inf
0.0ms	0.0	3.308922406142622e-237
0.0ms	-1.1583989573834536e-110	0.0
0.0ms	-inf	-6.138547139406684e+259

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.4654465970545854e+282	+inf
0.0ms	0.0	3.308922406142622e-237
0.0ms	-1.1583989573834536e-110	0.0
0.0ms	-inf	-6.138547139406684e+259

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.4654465970545854e+282	+inf
0.0ms	0.0	3.308922406142622e-237
0.0ms	-1.1583989573834536e-110	0.0
0.0ms	-inf	-6.138547139406684e+259

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.4654465970545854e+282	+inf
0.0ms	0.0	3.308922406142622e-237
0.0ms	-1.1583989573834536e-110	0.0
0.0ms	-inf	-6.138547139406684e+259

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch30.0ms (0.2%)

Memory

-46.6MiB live, 2.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.4654465970545854e+282	+inf
0.0ms	0.0	3.308922406142622e-237
0.0ms	-1.1583989573834536e-110	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.4654465970545854e+282	+inf
0.0ms	0.0	3.308922406142622e-237
0.0ms	-545.9729669096052	-2.3680662477145256

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4654465970545854e+282	+inf
0.0ms	0.0	3.308922406142622e-237

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch214.0ms (1.2%)

Memory

22.1MiB live, 212.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
84.0ms	8.420746028526323e-237	2.305539352866261e-234
38.0ms	-2.7989175180200246e-306	-1.7272228395800507e-306
54.0ms	-4.1584247037769726e-135	-6.293620820796795e-138

Samples

102.0ms	342×	0	invalid
51.0ms	320×	0	valid

Compiler

Compiled 1 990 to 1 334 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-pow2: 30.0ms (30.3% of total)

ival-div: 23.0ms (23.2% of total)

ival-mult: 21.0ms (21.2% of total)

ival-pow: 20.0ms (20.2% of total)

ival-sub: 3.0ms (3% of total)

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

exact: 1.0ms (1% of total)

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

bsearch198.0ms (1.2%)

Memory

21.7MiB live, 221.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	8.420746028526323e-237	2.305539352866261e-234
86.0ms	-1.5294366518361902e-273	-1.9298292165142505e-283
96.0ms	-1.2610624076655322e+147	-1.3732962698463154e+139

Samples

86.0ms	304×	0	valid
60.0ms	420×	0	invalid

Compiler

Compiled 2 654 to 1 773 computations (33.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-pow2: 38.0ms (32.8% of total)

ival-div: 28.0ms (24.2% of total)

ival-mult: 23.0ms (19.9% of total)

ival-pow: 22.0ms (19% of total)

ival-sub: 3.0ms (2.6% of total)

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

exact: 1.0ms (0.9% of total)

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

bsearch13.0ms (0.1%)

Memory

-18.0MiB live, 19.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.420746028526323e-237	2.305539352866261e-234
11.0ms	-2.7989175180200246e-306	-1.7272228395800507e-306

Samples

6.0ms	24×	0	invalid
3.0ms	16×	0	valid

Compiler

Compiled 1 414 to 890 computations (37.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (55.5% of total)

ival-mult: 1.0ms (13.9% of total)

ival-pow: 1.0ms (13.9% of total)

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

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

exact: 0.0ms (0% of total)

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

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

bsearch42.0ms (0.2%)

Memory

-15.2MiB live, 66.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	7.053767882727868e-294	1.6172890225391828e-291

Samples

18.0ms	112×	0	valid
13.0ms	67×	0	invalid

Compiler

Compiled 654 to 436 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 9.0ms (36.3% of total)

ival-div: 6.0ms (24.2% of total)

ival-pow: 6.0ms (24.2% of total)

ival-pow2: 2.0ms (8.1% of total)

ival-sub: 1.0ms (4% 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

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.053767882727868e-294	1.6172890225391828e-291

Compiler

Compiled 647 to 429 computations (33.7% saved)

simplify75.0ms (0.4%)

Memory

6.4MiB live, 83.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	260	3359
1	358	3359
2	690	3359
3	2414	3359
4	5268	3351

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -8158279569665543/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) (if (<=.f64 d #s(literal 2044843899414101/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) h)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal -3080600358337249/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal 2044843899414101/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) h)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal -8282095616148677/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal 2044843899414101/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (/.f64 h l) d)) h)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))))
(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 4000000000000000131128983931448392994282821132085974257053334309763770412789497343711737514689647172215269990327296603274806538707642782783975964405172170084499115216982480263261093089420598385961314195650041202516370405569779342608523794259304018488315142707243420422805058800844800 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (.f64 (fma.f64 (.f64 (/.f64 D d) M) (.f64 (.f64 (/.f64 D d) M) (.f64 #s(literal -1/8 binary64) h)) l) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) l)))
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(if (<=.f64 l #s(literal -1964034364737685/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (if (<=.f64 l #s(literal -8064464780213157/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) (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))) (if (<=.f64 l #s(literal 357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))))
(if (<=.f64 l #s(literal -250000000000000005936358089662776339352164481957170546868366247167559357385505143142044407054020823532336492283460029018948353292472520393359360 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (if (<=.f64 l #s(literal -8813630806905323/638668899051110339730039268171788341141584403339346413280815117579907805398068501051186548957643424348589582990141598478071180156285949971436534975451146054502401815344347416485612070862196155898449074158254055677865859345638678524444433685903374130402278690200241933325554718473710083176923136 binary64)) (.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))) (if (<=.f64 l #s(literal 357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))))
(if (<=.f64 l #s(literal -8696971821798503/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (if (<=.f64 l #s(literal 357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 h #s(literal 2588678114201735/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 h #s(literal 1348269851146737/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
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Outputs
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(if (<=.f64 h #s(literal 1348269851146737/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

soundness2.0s (11.4%)

Memory

15.6MiB live, 1 676.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	1948
1	920	1831
2	3335	1807
0	8314	1762
0	74	468
0	121	440
1	397	424
2	2728	394
0	8956	381
0	169	709
1	477	659
2	1699	649
3	4089	634
0	8161	618
0	20	50
0	34	48
1	114	48
2	719	48
3	7808	48
0	8842	47
0	62	223
1	172	201
2	633	201
3	3332	201
4	5970	201
5	7992	201
0	8102	194
0	276	1555
1	821	1425
2	2917	1409
3	6686	1363
0	8383	1332
0	63	225
0	108	209
1	346	181
2	2373	181
0	8384	181
0	85	440
0	140	418
1	470	409
2	2962	392
0	8543	389

Stop Event

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

Compiler

Compiled 7 712 to 2 601 computations (66.3% saved)

preprocess250.0ms (1.5%)

Memory: 25.0MiB live, 177.0MiB allocated
Remove: (abs D)
Compiler: Compiled 8 520 to 1 364 computations (84% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze587.0ms (3.4%)

sample6.7s (39.2%)

explain424.0ms (2.5%)

preprocess205.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify142.0ms (0.8%)

localize87.0ms (0.5%)

series46.0ms (0.3%)

simplify224.0ms (1.3%)

rewrite182.0ms (1.1%)

eval59.0ms (0.3%)

prune32.0ms (0.2%)

simplify216.0ms (1.3%)

localize234.0ms (1.4%)

series146.0ms (0.8%)

simplify122.0ms (0.7%)

rewrite159.0ms (0.9%)

eval173.0ms (1%)

prune64.0ms (0.4%)

simplify149.0ms (0.9%)

localize342.0ms (2%)

series299.0ms (1.7%)

simplify165.0ms (1%)

rewrite220.0ms (1.3%)

eval150.0ms (0.9%)

prune134.0ms (0.8%)

simplify122.0ms (0.7%)

localize244.0ms (1.4%)

series152.0ms (0.9%)

simplify191.0ms (1.1%)

rewrite324.0ms (1.9%)

eval198.0ms (1.2%)

prune236.0ms (1.4%)

regimes478.0ms (2.8%)

regimes96.0ms (0.6%)

regimes138.0ms (0.8%)

regimes90.0ms (0.5%)

regimes29.0ms (0.2%)

regimes29.0ms (0.2%)

regimes32.0ms (0.2%)

regimes34.0ms (0.2%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes30.0ms (0.2%)

regimes55.0ms (0.3%)

regimes21.0ms (0.1%)

regimes90.0ms (0.5%)

regimes7.0ms (0%)

regimes10.0ms (0.1%)

regimes45.0ms (0.3%)

regimes7.0ms (0%)

regimes68.0ms (0.4%)

bsearch197.0ms (1.1%)

bsearch76.0ms (0.4%)

bsearch101.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch30.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch214.0ms (1.2%)

bsearch198.0ms (1.2%)

bsearch13.0ms (0.1%)

bsearch42.0ms (0.2%)

bsearch1.0ms (0%)

simplify75.0ms (0.4%)

soundness2.0s (11.4%)

preprocess250.0ms (1.5%)

end0.0ms (0%)

Profiling