Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze408.0ms (1.9%)

Memory

36.3MiB live, 730.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.6s (26.6%)

Memory

-42.5MiB live, 6 627.3MiB allocated

Samples

2.7s	13 365×	0	invalid
1.7s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-mult: 1.3s (38.7% of total)

ival-div: 876.0ms (26.1% of total)

ival-pow: 639.0ms (19% of total)

ival-pow2: 391.0ms (11.6% of total)

ival-sub: 108.0ms (3.2% of total)

exact: 20.0ms (0.6% of total)

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

ival-assert: 7.0ms (0.2% of total)

Bogosity

explain385.0ms (1.8%)

Memory

9.6MiB live, 769.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
68	0	-	2	(-6.369902865689298e-297 -9.279118357852975e-153 -8.107393160660645e+22 1.5920971578038095e-231 -1.7320028149746514e-181)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
56	0	-	1	(-1.3196161981211561e-20 -1.074222048635671e+299 -3.0392745459498227e-210 -3.0143881820178957e+64 2.3839614220639577e+188)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
41	0	-	2	(9.650528350434399e+116 1.0286198170105152e+46 4.055204498007299e-106 7.830343796649533e+156 -1.2729858913898937e-200)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
24	0	-	1	(3.510032410531218e-194 3.447265798697119e+142 3.932464307316833e+94 -1.2694705495015031e-228 2.4227168567434744e+132)	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.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))))`
20	1	(7.693504644831707e-77 5.973329035264374e-190 2.8721624346170848e-251 7.299968436796658e-178 -1.3110108773879094e-222)	3	(8.600086478158209e-14 4.020010198080289e+255 2.9480429127841895e-46 1.4236052299232006e-40 2.2237247856698642e-271)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	0	-	0	-	`D`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	0	-	0	-	`(/.f64 h l)`
0	0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	0	-	0	-	`d`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 d l)`
0	0	-	0	-	`(*.f64 M D)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	0	-	`(/.f64 d h)`
0	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	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`l`
0	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	-	0	-	`M`
0	0	-	0	-	`h`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	38	0
↳	`(/.f64 d l)`	overflow	38
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	29	0
↳	`(/.f64 d h)`	overflow	29
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	28	0
↳	`(/.f64 d l)`	underflow	28
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	26	0
↳	`(/.f64 d h)`	underflow	26
`*.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**	12	0
↳	`(/.f64 d h)`	underflow	26
↳	`(/.f64 d l)`	underflow	28
↳	`(*.f64 (pow.f64 (/.f64 d 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	16
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	71
↳	`(.f64 (/.f64 #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	71
↳	`(/.f64 h l)`	overflow	37
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	84
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	84
↳	`(*.f64 M D)`	overflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	41
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	11	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	9	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	7	0
↳	`(*.f64 M D)`	overflow	26
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	71
↳	`(.f64 (/.f64 #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	71
↳	`(*.f64 M D)`	overflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	41
↳	`(/.f64 h l)`	underflow	25
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	80
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	80
↳	`(*.f64 M D)`	underflow	32
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	41
↳	`(/.f64 h l)`	overflow	37
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	32

Confusion

	Predicted +	Predicted -
+	83	5
-	36	132

Precision

0.6974789915966386

Recall

0.9431818181818182

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	83	0	5
-	36	0	132

Precision?

0.6974789915966386

Recall?

0.9431818181818182

Freqs

test

number	freq
0	137
1	80
2	30
3	8
4	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

94.0ms

512×

valid

Compiler

Compiled 352 to 70 computations (80.1% saved)

Precisions

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

ival-pow: 22.0ms (33% of total)

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

ival-mult: 16.0ms (24% of total)

ival-pow2: 5.0ms (7.5% of total)

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

exact: 1.0ms (1.5% of total)

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

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

preprocess214.0ms (1%)

Memory

15.4MiB live, 331.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 600×	`lower-*.f32`
6 588×	`lower-*.f64`
3 422×	`lower-/.f32`
3 414×	`lower-/.f64`
2 244×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	1960	548
3	4611	548
0	22	29
0	38	27
1	67	27
2	174	27
3	1054	27
4	3441	27
5	6724	27
0	8027	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 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))))

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 40 to 22 computations (45% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(.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

▶

66.5%

(*.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 40 to 22 computations (45% saved)

simplify187.0ms (0.9%)

Memory

-1.0MiB live, 317.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #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)))

Rules

6 600×	`lower-*.f32`
6 588×	`lower-*.f64`
3 422×	`lower-/.f32`
3 414×	`lower-/.f64`
2 244×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	174	126
3	1054	126
4	3441	126
5	6724	126
0	8027	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 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 h #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (*.f64 d 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))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(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 h #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 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 h #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (.f64 d d)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 #s(literal 4 binary64) (.f64 d d))))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 #s(literal 4 binary64) (*.f64 d d)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 h l)

localize79.0ms (0.4%)

Memory

-18.4MiB live, 175.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.648400601689115	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	9.388492746946731	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	13.13634165937756	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.863363954103077	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

53.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 16.0ms (40.6% of total)

ival-pow: 10.0ms (25.4% of total)

ival-mult: 8.0ms (20.3% of total)

ival-pow2: 3.0ms (7.6% of total)

ival-sub: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.2%)

Memory

22.0MiB live, 102.5MiB allocated

Counts

6 → 204

Calls

Call 1

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

Calls

51 calls:

Time	Variable		Point	Expression
5.0ms	d	@	inf	(pow (/ (* M D) (* 2 d)) 2)
4.0ms	l	@	inf	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
2.0ms	D	@	0	(pow (/ (* M D) (* 2 d)) 2)
2.0ms	h	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
2.0ms	M	@	0	(pow (/ (* M D) (* 2 d)) 2)

simplify266.0ms (1.3%)

Memory

-34.9MiB live, 302.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 660×	`lower-fma.f64`
6 660×	`lower-fma.f32`
5 620×	`lower-*.f64`
5 620×	`lower-*.f32`
3 426×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite283.0ms (1.3%)

Memory

39.0MiB live, 380.5MiB allocated

Rules

7 446×	`lower-*.f32`
7 434×	`lower-*.f64`
4 352×	`lower-fma.f64`
4 352×	`lower-fma.f32`
3 368×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
0	38	60
1	124	59
2	828	59
0	8726	58

Stop Event

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

Counts

6 → 603

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

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

eval185.0ms (0.9%)

Memory: 4.0MiB live, 202.4MiB allocated
Compiler: Compiled 32 235 to 2 661 computations (91.7% saved)

prune169.0ms (0.8%)

Memory

-4.3MiB live, 357.0MiB allocated

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	770	39	809
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	771	39	810

Accuracy

93.5%

Counts

810 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.7%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	27.0%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 h)) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	29.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	27.7%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
	27.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	28.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	48.7%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
▶	48.9%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	32.5%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	50.0%	(.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 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/2 binary64)) l)))
▶	67.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))))
	52.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))
	51.7%	(.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 #s(literal 1 binary64) (/.f64 l (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) h))))))
	60.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))))))
	58.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))))))
	55.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 M d) d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 M D))))) (/.f64 h l))))
	39.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))) (/.f64 d M)) (/.f64 (sqrt.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) D)))) (/.f64 h l))))
	43.7%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M)))) (.f64 d (*.f64 d l))))))
	35.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.4%	(.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))))
▶	66.1%	(.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))))
	37.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.6%	(.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))))
	37.6%	(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (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))))
	37.4%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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))))
	49.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	66.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d 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))))
▶	28.2%	(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
	27.8%	(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
	19.4%	#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 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
	16.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
	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 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	26.0%	#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 h l))) (neg.f64 d)))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))))
	2.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (neg.f64 d)))))
▶	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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))

Compiler

Compiled 2 962 to 1 792 computations (39.5% saved)

simplify198.0ms (0.9%)

Memory

-6.2MiB live, 299.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	384	(.f64 (.f64 (/.f64 #s(literal 1 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	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 d)
cost-diff	0	(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
cost-diff	384	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (/.f64 d h))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
cost-diff	384	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 h l))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
cost-diff	0	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	768	(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))
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)))

Rules

8 022×	`lower-*.f32`
7 980×	`lower-*.f64`
3 024×	`lower-/.f32`
3 000×	`lower-/.f64`
1 480×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	676
0	121	688
1	233	686
2	777	600
3	5961	600
0	8432	600

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

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

localize267.0ms (1.3%)

Memory

26.5MiB live, 579.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.1943907486784555	(.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))))
accuracy	5.119944853380824	(.f64 (.f64 (/.f64 #s(literal 1 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	5.431786796708815	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.142440969975261	(sqrt.f64 (/.f64 l d))
accuracy	1.8519950145893922	(.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
accuracy	3.373842481341482	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
accuracy	5.431786796708815	(sqrt.f64 (/.f64 d h))
accuracy	8.474418022314739	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy	3.373842481341482	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
accuracy	5.431786796708815	(sqrt.f64 (/.f64 d h))
accuracy	7.142440969975261	(sqrt.f64 (/.f64 l d))
accuracy	8.474418022314739	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy	0.1171875	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
accuracy	0.16925667457404098	(/.f64 #s(literal 1 binary64) (*.f64 h l))
accuracy	6.982592990243858	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
accuracy	15.120963645966008	#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 #s(literal 1 binary64) (.f64 h l)))))
accuracy	3.1943907486784555	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.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 M D) (.f64 d #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))))
accuracy	5.196566818514821	(.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l)))
accuracy	5.431786796708815	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.1649171898799295	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

82.0ms	127×	0	valid
71.0ms	129×	0	invalid

Compiler

Compiled 712 to 60 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-pow: 40.0ms (34.7% of total)

ival-mult: 32.0ms (27.8% of total)

ival-div: 29.0ms (25.2% of total)

ival-sqrt: 8.0ms (6.9% of total)

ival-pow2: 3.0ms (2.6% of total)

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

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

exact: 1.0ms (0.9% of total)

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

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

series72.0ms (0.3%)

Memory

9.2MiB live, 127.8MiB allocated

Counts

22 → 924

Calls

Call 1

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

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

Calls

231 calls:

Time	Variable		Point	Expression
6.0ms	M	@	0	(/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d)))
3.0ms	D	@	inf	(+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)
3.0ms	d	@	0	(* (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)))
1.0ms	M	@	inf	(* (/ (* M D) (* d 2)) (* 1/2 (/ h l)))
1.0ms	M	@	0	(* (/ (* M D) (* d 2)) (* 1/2 (/ h l)))

simplify326.0ms (1.5%)

Memory

-51.4MiB live, 463.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 800×	`lower-*.f64`
8 800×	`lower-*.f32`
4 174×	`lower-fma.f64`
4 174×	`lower-fma.f32`
3 380×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	16484
1	901	16031
2	3220	15938
3	7055	15857
0	8624	15536

Stop Event

1×	iter limit
1×	node limit

Counts

924 → 924

Calls

Call 1

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

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

rewrite365.0ms (1.7%)

Memory

37.0MiB live, 344.3MiB allocated

Rules

6 920×	`lower-*.f32`
6 882×	`lower-*.f64`
3 970×	`lower-/.f32`
3 946×	`lower-/.f64`
2 366×	`lower-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	352
0	121	330
1	373	289
2	2779	288
0	9929	288

Stop Event

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

Counts

22 → 1 149

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

eval510.0ms (2.4%)

Memory: 26.6MiB live, 435.1MiB allocated
Compiler: Compiled 93 168 to 4 500 computations (95.2% saved)

prune449.0ms (2.1%)

Memory

-15.5MiB live, 676.3MiB allocated

Pruning

55 alts after pruning (54 fresh and 1 done)

	Pruned	Kept	Total
New	2 602	46	2 648
Fresh	26	8	34
Picked	4	1	5
Done	0	0	0
Total	2 632	55	2 687

Accuracy

93.9%

Counts

2 687 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	29.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	27.7%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
	27.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	63.5%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 d (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	63.8%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 h #s(literal 1/2 binary64))) (.f64 (.f64 d #s(literal 2 binary64)) l)) (neg.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	60.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (/.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
▶	66.1%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	60.0%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	65.8%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
▶	53.2%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	52.8%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal 4 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	52.6%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 #s(literal 1/4 binary64) (.f64 d d)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	48.5%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 M (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 d #s(literal 4 binary64)))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	45.1%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 h (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 l d)))
	40.8%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) l) l))) (sqrt.f64 (/.f64 l d)))
	19.8%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 l d)))
	10.2%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) l)) (sqrt.f64 (/.f64 l d)))
	13.5%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 (neg.f64 M) (.f64 M (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l)))) (sqrt.f64 (/.f64 l d)))
	37.4%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	34.9%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	36.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))))
	62.7%	(.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 M (.f64 D #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (.f64 d (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))))))
	37.6%	(.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 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))))
	37.2%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.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))))
	26.8%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (/.f64 d h) l))) (sqrt.f64 d))
	37.4%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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))))
▶	48.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 d h)))
	49.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	43.1%	(.f64 (sqrt.f64 (.f64 d (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 d h)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))))
	11.1%	(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) l))))
	23.3%	(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d h)))))
	8.7%	(.f64 (sqrt.f64 d) #s(approx ( (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))) (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 d d) (.f64 d (.f64 l (.f64 l l)))))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 D D)))))
	21.2%	(.f64 (sqrt.f64 d) #s(approx ( (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))) (sqrt.f64 (/.f64 d (*.f64 h l)))))
	5.8%	(.f64 (sqrt.f64 d) #s(approx ( (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))) (neg.f64 (sqrt.f64 (/.f64 d (*.f64 h l))))))
	18.0%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 (sqrt.f64 (.f64 h l)) #s(literal -1/8 binary64)))) (*.f64 l l)))
	30.0%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))) #s(literal -1/8 binary64)))) h))
	15.5%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	18.5%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (neg.f64 M) (.f64 M (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) d))))
	26.0%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	29.6%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
	19.4%	#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 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
▶	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
▶	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64))))
	25.8%	#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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
	3.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) h))) (sqrt.f64 (neg.f64 l)))))
	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	28.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	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 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) 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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	26.0%	#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 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	27.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))

Compiler

Compiled 3 256 to 2 080 computations (36.1% saved)

simplify223.0ms (1.1%)

Memory

4.0MiB live, 278.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
cost-diff	384	(*.f64 (/.f64 D d) (/.f64 D d))
cost-diff	704	(fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 d h)))
cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))))
cost-diff	320	(/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))
cost-diff	0	(/.f64 h (.f64 l (.f64 l l)))
cost-diff	0	(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
cost-diff	0	(*.f64 h l)
cost-diff	0	(sqrt.f64 (*.f64 h l))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 h l)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
cost-diff	384	(.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))))
cost-diff	704	(fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))

Rules

7 380×	`lower-*.f32`
7 332×	`lower-*.f64`
3 284×	`lower-/.f32`
3 260×	`lower-/.f64`
1 862×	`lower-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	615
0	123	596
1	260	595
2	859	585
3	3678	552
4	4508	552
5	6203	552
0	8360	552

Stop Event

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

Calls

Call 1

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

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

localize248.0ms (1.2%)

Memory

-16.9MiB live, 494.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.27422984723683	(fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
accuracy	13.136341659377562	(sqrt.f64 (/.f64 d h))
accuracy	15.657116731633865	(.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64)))
accuracy	15.807187876977428	(sqrt.f64 (/.f64 l d))
accuracy	8.166570449806397	(.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))
accuracy	13.136341659377562	(sqrt.f64 (/.f64 d h))
accuracy	15.103638407885489	(/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))
accuracy	15.859457704103077	(sqrt.f64 (/.f64 d l))
accuracy	8.955171771614003	(.f64 D (.f64 M M))
accuracy	10.671730336287059	(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
accuracy	19.660918273502322	(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
accuracy	45.615258457921556	#s(approx (* (* (pow (/ 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 (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
accuracy	0	(*.f64 h l)
accuracy	0.1875	(/.f64 d (sqrt.f64 (*.f64 h l)))
accuracy	15.31231197124705	(sqrt.f64 (*.f64 h l))
accuracy	45.349367629605695	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
accuracy	4.296012996737718	(/.f64 (*.f64 M D) d)
accuracy	7.27422984723683	(fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
accuracy	13.136341659377562	(sqrt.f64 (/.f64 d h))
accuracy	15.807187876977428	(sqrt.f64 (/.f64 l d))

Samples

153.0ms

256×

valid

Compiler

Compiled 607 to 72 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 52.0ms (49.8% of total)

ival-div: 25.0ms (23.9% of total)

ival-pow: 11.0ms (10.5% of total)

ival-sqrt: 8.0ms (7.7% of total)

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

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

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

exact: 1.0ms (1% of total)

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

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

series82.0ms (0.4%)

Memory

33.3MiB live, 186.5MiB allocated

Counts

27 → 1 164

Calls

Call 1

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

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

Calls

291 calls:

Time	Variable		Point	Expression
13.0ms	D	@	-inf	(+ (* (* (* (/ D d) (/ D d)) (* (* M M) 1/4)) (* -1/2 (/ h l))) 1)
3.0ms	D	@	0	(* (sqrt (/ h (* l (* l l)))) (* (* D (* D (* M M))) (/ 1/8 d)))
3.0ms	d	@	-inf	(sqrt (/ d h))
2.0ms	h	@	0	(* (sqrt (/ h (* l (* l l)))) (* (* D (* D (* M M))) (/ 1/8 d)))
2.0ms	h	@	-inf	(* (sqrt (/ d l)) (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* d (* d 4))))))

simplify600.0ms (2.8%)

Memory

-109.5MiB live, 629.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 152×	`lower-*.f64`
8 152×	`lower-*.f32`
4 848×	`lower-fma.f64`
4 848×	`lower-fma.f32`
3 450×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	19798
1	863	19352
2	3084	19266
3	6970	19200
0	8723	18723

Stop Event

1×	iter limit
1×	node limit

Counts

1 164 → 1 164

Calls

Call 1

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

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

rewrite303.0ms (1.4%)

Memory

17.4MiB live, 537.3MiB allocated

Rules

4 610×	`lower-*.f32`
4 560×	`lower-*.f64`
4 114×	`lower-/.f32`
4 088×	`lower-/.f64`
2 976×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	443
0	123	417
1	428	368
2	3227	352
0	8559	347

Stop Event

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

Counts

27 → 1 434

Calls

Call 1

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

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

eval436.0ms (2.1%)

Memory: 15.1MiB live, 649.2MiB allocated
Compiler: Compiled 91 464 to 5 314 computations (94.2% saved)

prune427.0ms (2%)

Memory

4.9MiB live, 775.8MiB allocated

Pruning

69 alts after pruning (66 fresh and 3 done)

	Pruned	Kept	Total
New	2 732	47	2 779
Fresh	30	19	49
Picked	3	2	5
Done	0	1	1
Total	2 765	69	2 834

Accuracy

94.9%

Counts

2 834 → 69

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(/.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 (.f64 d #s(literal 4 binary64)) (.f64 d l))) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 h)) (sqrt.f64 (/.f64 l d)))
	37.7%	(/.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	27.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 (.f64 d #s(literal 4 binary64)) (*.f64 d l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	53.9%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d l)) (/.f64 (.f64 #s(literal -1/2 binary64) h) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	66.6%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 #s(literal -1/2 binary64) h) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
✓	53.2%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	61.1%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 M (.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 #s(literal -1/2 binary64) h)) (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	47.5%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (* (/ (* M D) d) (/ (* M D) (* d 4))) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 h (.f64 M (/.f64 M (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 l d)))
	10.2%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) l)) (sqrt.f64 (/.f64 l d)))
	13.5%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 (neg.f64 M) (.f64 M (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l)))) (sqrt.f64 (/.f64 l d)))
	54.3%	(.f64 (fma.f64 (/.f64 (.f64 M D) d) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal -1/2 binary64) h)) (.f64 (.f64 d #s(literal 4 binary64)) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	29.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 (.f64 d #s(literal 4 binary64)) (.f64 d l))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	46.4%	(.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 M D) (.f64 (.f64 M D) (.f64 #s(literal -1/2 binary64) h)))) (.f64 (.f64 d #s(literal 4 binary64)) (.f64 d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	34.9%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	36.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))))
	27.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 d h)))
	37.4%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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))))
	63.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal -1/2 binary64) h)) (.f64 (.f64 d #s(literal 4 binary64)) l)) (/.f64 (.f64 M D) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
▶	53.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d l)) (/.f64 (.f64 #s(literal -1/2 binary64) h) (.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
▶	67.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 (.f64 M D) d) (/.f64 (*.f64 #s(literal -1/2 binary64) h) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	55.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d #s(literal 4 binary64)) (.f64 d l))) (.f64 (.f64 M D) (.f64 (.f64 M D) (.f64 #s(literal -1/2 binary64) h))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	55.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (/.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) (.f64 #s(literal -1/2 binary64) h))) (.f64 (.f64 d #s(literal 4 binary64)) (.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	28.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
	47.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* d (* d 4))))) (fma.f64 (.f64 h (.f64 M (/.f64 M (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 d h)))
	45.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* d (* d 4))))) (/.f64 (fma.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) l) l))) (sqrt.f64 (/.f64 d h)))
	19.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* d (* d 4))))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h)))
	49.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 (.f64 d #s(literal 4 binary64)) (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	11.1%	(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) l))))
▶	8.7%	(.f64 (sqrt.f64 d) #s(approx ( (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))) (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 d d) (.f64 d (.f64 l (.f64 l l)))))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 D D)))))
	5.8%	(.f64 (sqrt.f64 d) #s(approx ( (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))) (neg.f64 (sqrt.f64 (/.f64 d (*.f64 h l))))))
	37.8%	(.f64 #s(approx ( (sqrt (/ d l)) (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* d (* d 4)))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	8.9%	(.f64 #s(approx ( (sqrt (/ d l)) (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* d (* d 4)))))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	18.0%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 (sqrt.f64 (.f64 h l)) #s(literal -1/8 binary64)))) (*.f64 l l)))
	26.0%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	29.6%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
	25.2%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (* (/ (* M D) d) (/ (* M D) (* d 4))) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) d)) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
	16.5%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (* (/ (* M D) d) (/ (* M D) (* d 4))) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) d))
	13.5%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (* (/ (* M D) d) (/ (* M D) (* d 4))) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 (neg.f64 M) M) d))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	18.8%	#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 (.f64 (.f64 M (.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))) d))
	16.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
	16.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	17.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
▶	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	18.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))))
	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 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
	25.8%	#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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	27.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (exp.f64 (.f64 (log.f64 (.f64 h l)) #s(literal 1/2 binary64)))))
	28.7%	#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 h l)) d)))
	31.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	28.7%	#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 h l))) d))
	18.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) D) (/.f64 (.f64 M (.f64 M D)) (*.f64 d #s(literal 8 binary64)))))
	17.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) 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 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	14.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 l (.f64 l l)))))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	15.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	15.5%	#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 (/.f64 (.f64 l l) h)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	25.8%	#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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
	3.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) h))) (sqrt.f64 (neg.f64 l)))))
	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	28.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	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 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) 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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	26.0%	#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 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	27.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
	19.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
▶	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))

Compiler

Compiled 3 651 to 2 344 computations (35.8% saved)

simplify254.0ms (1.2%)

Memory

-31.7MiB live, 256.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 468×	`lower-/.f32`
5 448×	`lower-/.f64`
4 880×	`lower-*.f32`
4 836×	`lower-*.f64`
1 642×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	636
0	135	616
1	300	612
2	1022	584
3	3629	564
4	5483	564
5	7309	564
0	8175	554

Stop Event

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

Calls

Call 1

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

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

localize318.0ms (1.5%)

Memory

-7.2MiB live, 424.7MiB allocated

Localize:

Found 20 expressions of interest:

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

Samples

213.0ms

256×

invalid

Compiler

Compiled 585 to 82 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-mult: 91.0ms (51.3% of total)

ival-sqrt: 38.0ms (21.4% of total)

ival-div: 27.0ms (15.2% of total)

ival-pow: 11.0ms (6.2% of total)

ival-add: 4.0ms (2.3% of total)

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

ival-pow2: 2.0ms (1.1% 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)

series122.0ms (0.6%)

Memory

-0.1MiB live, 87.4MiB allocated

Counts

30 → 1 116

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))>
#<alt (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))>
#<alt (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/2 (/ (* D (* M h)) (* d l)))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)>
#<alt (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)>
#<alt (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))>
#<alt (* -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)))))))))>
#<alt (* -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)))))))))>
#<alt (* -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)))))))))>
#<alt (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))>
#<alt (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))>
#<alt (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))>
#<alt (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))>
#<alt (sqrt (/ d l))>
#<alt (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))>
#<alt (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))>
#<alt (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))>
#<alt (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))>
#<alt (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))>
#<alt (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))>
#<alt (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))>
#<alt (sqrt (/ d l))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
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#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))>
#<alt (* -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)))))))))>
#<alt (* -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)))))))))>
#<alt (* -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)))))))))>
#<alt (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))>
#<alt (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))>
#<alt (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))>
#<alt (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))>
#<alt (sqrt (/ d l))>
#<alt (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))>
#<alt (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))>
#<alt (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))>
#<alt (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))>
#<alt (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))>
#<alt (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))>
#<alt (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))>
#<alt (sqrt (/ d l))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d l))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))>
#<alt (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))>
#<alt (sqrt (/ d l))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))>
#<alt (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))>
#<alt (sqrt (/ d l))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))>
#<alt (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))>
#<alt (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))>
#<alt (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))>
#<alt (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))>
#<alt (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))>
#<alt (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))>
#<alt (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))>
#<alt (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* -1/2 h)>
#<alt (* -1/2 h)>
#<alt (* -1/2 h)>
#<alt (* -1/2 h)>
#<alt (* -1/2 h)>
#<alt (* -1/2 h)>
#<alt (* -1/2 h)>
#<alt (* -1/2 h)>
#<alt (* -1/2 h)>
#<alt (* -1/2 h)>
#<alt (* -1/2 h)>
#<alt (* -1/2 h)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* D M)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 h)>
#<alt (* -1 h)>
#<alt (* -1 h)>
#<alt (* -1 h)>
#<alt (* -1 h)>
#<alt (* -1 h)>
#<alt (* -1 h)>
#<alt (* -1 h)>
#<alt (* -1 h)>
#<alt (* -1 h)>
#<alt (* -1 h)>
#<alt (* -1 h)>
#<alt (* (sqrt h) (sqrt -1))>
#<alt (* (sqrt h) (sqrt -1))>
#<alt (* (sqrt h) (sqrt -1))>
#<alt (* (sqrt h) (sqrt -1))>
#<alt (* (sqrt h) (sqrt -1))>
#<alt (* (sqrt h) (sqrt -1))>
#<alt (* (sqrt h) (sqrt -1))>
#<alt (* (sqrt h) (sqrt -1))>
#<alt (* -1 (* (sqrt h) (sqrt -1)))>
#<alt (* -1 (* (sqrt h) (sqrt -1)))>
#<alt (* -1 (* (sqrt h) (sqrt -1)))>
#<alt (* -1 (* (sqrt h) (sqrt -1)))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (sqrt (/ h (* (pow d 3) (pow l 3))))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ h (* (pow d 3) (pow l 3)))) (pow (sqrt -1) 2)))>
#<alt (pow D 2)>
#<alt (pow D 2)>
#<alt (pow D 2)>
#<alt (pow D 2)>
#<alt (pow D 2)>
#<alt (pow D 2)>
#<alt (pow D 2)>
#<alt (pow D 2)>
#<alt (pow D 2)>
#<alt (pow D 2)>
#<alt (pow D 2)>
#<alt (pow D 2)>

Calls

279 calls:

Time	Variable		Expression
21.0ms	d	@	(* (neg d) (/ d l))
2.0ms	l	@	(* (neg d) (/ d l))
2.0ms	h	@	(* (sqrt (/ h (* (* d d) (* d (* l (* l l)))))) (* (* (* M M) -1/8) (* D D)))
2.0ms	l	@	(* (sqrt (/ h (* (* d d) (* d (* l (* l l)))))) (* (* (* M M) -1/8) (* D D)))
1.0ms	M	@	(* (sqrt (/ h (* (* d d) (* d (* l (* l l)))))) (* (* (* M M) -1/8) (* D D)))

simplify364.0ms (1.7%)

Memory

11.8MiB live, 439.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 830×	`lower-*.f64`
7 830×	`lower-*.f32`
4 784×	`lower-fma.f64`
4 784×	`lower-fma.f32`
3 566×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	18962
1	920	18250
2	3236	18122
3	7171	18041
0	8150	17642

Stop Event

1×	iter limit
1×	node limit

Counts

1 116 → 1 116

Calls

Call 1

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

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

rewrite299.0ms (1.4%)

Memory

-1.0MiB live, 422.4MiB allocated

Rules

4 940×	`lower-*.f32`
4 896×	`lower-*.f64`
2 986×	`lower-/.f32`
2 966×	`lower-/.f64`
2 792×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	471
0	135	451
1	477	387
2	3831	367
0	8178	365

Stop Event

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

Counts

30 → 797

Calls

Call 1

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

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

eval514.0ms (2.4%)

Memory: 33.6MiB live, 599.6MiB allocated
Compiler: Compiled 58 046 to 2 463 computations (95.8% saved)

prune317.0ms (1.5%)

Memory

-51.3MiB live, 643.6MiB allocated

Pruning

81 alts after pruning (75 fresh and 6 done)

	Pruned	Kept	Total
New	2 082	34	2 116
Fresh	20	41	61
Picked	2	3	5
Done	0	3	3
Total	2 104	81	2 185

Accuracy

95.6%

Counts

2 185 → 81

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(/.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 (.f64 d #s(literal 4 binary64)) (.f64 d l))) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 h)) (sqrt.f64 (/.f64 l d)))
✓	53.2%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	61.1%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 M (.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 #s(literal -1/2 binary64) h)) (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	47.5%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (* (/ (* M D) d) (/ (* M D) (* d 4))) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 h (.f64 M (/.f64 M (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 l d)))
	10.2%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) l)) (sqrt.f64 (/.f64 l d)))
	13.5%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 (neg.f64 M) (.f64 M (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l)))) (sqrt.f64 (/.f64 l d)))
	54.3%	(.f64 (fma.f64 (/.f64 (.f64 M D) d) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal -1/2 binary64) h)) (.f64 (.f64 d #s(literal 4 binary64)) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	27.2%	(.f64 (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 #s(literal -1/2 binary64) h) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	29.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) h) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 (.f64 d #s(literal 4 binary64)) (.f64 d l))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	44.1%	(.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D (.f64 #s(literal -1/2 binary64) h)))) (sqrt.f64 (/.f64 d l))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	34.9%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	30.1%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d l)) (/.f64 (.f64 #s(literal -1/2 binary64) h) (.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	36.8%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 (.f64 M D) d) (/.f64 (*.f64 #s(literal -1/2 binary64) h) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	27.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 d h)))
	63.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal -1/2 binary64) h)) (.f64 (.f64 d #s(literal 4 binary64)) l)) (/.f64 (.f64 M D) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	53.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d l)) (*.f64 (/.f64 h d) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	63.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 M (.f64 D (*.f64 #s(literal -1/2 binary64) h))) d) l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	64.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (/.f64 (.f64 M (.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) h) l))) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	38.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 (.f64 M D) d) (/.f64 (*.f64 #s(literal -1/2 binary64) h) l)) #s(literal 1 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
	54.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 M d) (.f64 (/.f64 (.f64 M (.f64 D D)) l) (.f64 #s(literal -1/8 binary64) (/.f64 h d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	59.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/4 binary64)) (/.f64 (.f64 M (.f64 D (.f64 #s(literal -1/2 binary64) h))) (.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	55.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d #s(literal 4 binary64)) (.f64 d l))) (.f64 (.f64 M D) (.f64 (.f64 M D) (.f64 #s(literal -1/2 binary64) h))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	53.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 h d)) (/.f64 M d)) (/.f64 (.f64 M (.f64 D D)) l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	55.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (/.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) (.f64 #s(literal -1/2 binary64) h))) (.f64 (.f64 d #s(literal 4 binary64)) (.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	53.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D (.f64 #s(literal -1/2 binary64) h)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	47.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* M (* D D))) (* d l)) (/ (* -1/2 h) (* d 4))) 1) (/.f64 (fma.f64 (.f64 D (.f64 D (.f64 M (.f64 M h)))) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) l) l))) (sqrt.f64 (/.f64 d h)))
	20.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* M (* D D))) (* d l)) (/ (* -1/2 h) (* d 4))) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (.f64 M h))) (.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h)))
	47.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* d (* d 4))))) (fma.f64 (.f64 h (.f64 M (/.f64 M (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 d h)))
	47.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 #s(literal -1/2 binary64) h) (.f64 d (.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	11.1%	(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) l))))
	13.6%	(.f64 (sqrt.f64 d) #s(approx ( (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))) (/.f64 (.f64 (.f64 M (.f64 M (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (sqrt.f64 h)) (.f64 d (sqrt.f64 (.f64 d (.f64 l (*.f64 l l))))))))
	11.9%	(.f64 (sqrt.f64 d) #s(approx ( (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))) (.f64 (/.f64 (sqrt.f64 h) (.f64 d (sqrt.f64 (.f64 d (.f64 l (.f64 l l)))))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (*.f64 D D)))))
✓	8.7%	(.f64 (sqrt.f64 d) #s(approx ( (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))) (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 d d) (.f64 d (.f64 l (.f64 l l)))))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 D D)))))
	5.8%	(.f64 (sqrt.f64 d) #s(approx ( (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))) (neg.f64 (sqrt.f64 (/.f64 d (*.f64 h l))))))
	8.3%	(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* M (* D D))) (* d l)) (/ (* -1/2 h) (* d 4))) 1)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M (.f64 M h)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) (.f64 d (.f64 l (*.f64 l l))))))))) (sqrt.f64 (/.f64 d h)))
	37.8%	(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* M (* D D))) (* d l)) (/ (* -1/2 h) (* d 4))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	8.9%	(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* M (* D D))) (* d l)) (/ (* -1/2 h) (* d 4))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	18.0%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 (sqrt.f64 (.f64 h l)) #s(literal -1/8 binary64)))) (*.f64 l l)))
	26.0%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	29.6%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
	25.2%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (* (/ (* M D) d) (/ (* M D) (* d 4))) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) d)) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
	16.5%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (* (/ (* M D) d) (/ (* M D) (* d 4))) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) d))
	13.5%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (* (/ (* M D) d) (/ (* M D) (* d 4))) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 (neg.f64 M) M) d))))
	3.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	18.8%	#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 (.f64 (.f64 M (.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))) d))
	21.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))))
	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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
	17.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
	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 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
	11.5%	#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 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 h h)) (+.f64 #s(literal 0 binary64) h)))))
✓	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 d (.f64 (/.f64 #s(literal 1 binary64) l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h))))
	25.8%	#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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	27.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (exp.f64 (.f64 (log.f64 (.f64 h l)) #s(literal 1/2 binary64)))))
	28.7%	#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 h l)) d)))
	3.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h)))))
	3.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 h)))))
	28.7%	#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 h l))) d))
	18.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) D) (/.f64 (.f64 M (.f64 M D)) (*.f64 d #s(literal 8 binary64)))))
	17.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) 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 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	14.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 l (.f64 l l)))))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	15.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	15.5%	#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 (/.f64 (.f64 l l) h)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	18.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))
	3.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) h))) (sqrt.f64 (neg.f64 l)))))
	28.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	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 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) 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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	26.0%	#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 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	27.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
	19.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
	28.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
✓	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	31.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d #s(literal 1 binary64)) (.f64 h (/.f64 l d)))))
	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)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
	32.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))

Compiler

Compiled 6 329 to 2 072 computations (67.3% saved)

regimes437.0ms (2.1%)

Memory

36.9MiB live, 547.6MiB allocated

Counts

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

Outputs

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

(*.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))))

Calls

7 calls:

101.0ms	h
75.0ms	(*.f64 M D)
65.0ms	d
51.0ms	M
49.0ms	l

Results

Accuracy	Segments	Branch
78.2%	3	`d`
79.5%	4	`h`
75.8%	2	`l`
67.0%	1	`M`
67.0%	1	`D`
71.4%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
67.0%	1	`(*.f64 M D)`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes326.0ms (1.5%)

Memory

-22.8MiB live, 249.0MiB allocated

Counts

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

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

Calls

3 calls:

138.0ms	h
111.0ms	l
46.0ms	d

Results

Accuracy	Segments	Branch
75.2%	2	`l`
78.8%	4	`h`
75.2%	2	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes60.0ms (0.3%)

Memory

36.8MiB live, 73.6MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

51.0ms

Results

Accuracy	Segments	Branch
76.9%	3	`h`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes334.0ms (1.6%)

Memory

-18.0MiB live, 260.1MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

91.0ms	d
81.0ms	(.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))))
74.0ms	h
71.0ms	l

Results

Accuracy	Segments	Branch
71.4%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
72.0%	3	`l`
75.4%	5	`d`
74.0%	4	`h`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes82.0ms (0.4%)

Memory

-2.3MiB live, 83.0MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

75.0ms

(*.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
71.2%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes368.0ms (1.7%)

Memory

16.6MiB live, 441.9MiB allocated

Counts

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

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

Calls

7 calls:

80.0ms	h
65.0ms	M
57.0ms	l
55.0ms	(.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))))
43.0ms	D

Results

Accuracy	Segments	Branch
65.9%	2	`(*.f64 M D)`
63.9%	1	`M`
65.7%	2	`D`
65.8%	2	`l`
66.0%	2	`d`
63.9%	1	`h`
70.0%	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 78 to 53 computations (32.1% saved)

regimes211.0ms (1%)

Memory

-12.6MiB live, 321.5MiB allocated

Counts

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

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

Calls

7 calls:

42.0ms	d
29.0ms	(*.f64 M D)
28.0ms	D
28.0ms	M
26.0ms	l

Results

Accuracy	Segments	Branch
62.0%	2	`h`
59.5%	1	`M`
62.7%	3	`D`
67.0%	4	`l`
61.5%	2	`(*.f64 M D)`
65.8%	3	`d`
67.7%	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 78 to 53 computations (32.1% saved)

regimes84.0ms (0.4%)

Memory

-0.0MiB live, 159.0MiB allocated

Counts

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

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

Calls

3 calls:

27.0ms

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
64.1%	4	`l`
68.6%	6	`d`
66.6%	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 52 to 32 computations (38.5% saved)

regimes169.0ms (0.8%)

Memory

-5.4MiB live, 153.8MiB allocated

Counts

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

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

Calls

5 calls:

70.0ms	(*.f64 M D)
26.0ms	d
23.0ms	D
23.0ms	(.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))))
22.0ms	h

Results

Accuracy	Segments	Branch
56.2%	3	`D`
56.5%	3	`(*.f64 M D)`
54.6%	3	`h`
65.2%	6	`d`
64.3%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 66 to 43 computations (34.8% saved)

regimes77.0ms (0.4%)

Memory

15.8MiB live, 142.4MiB allocated

Counts

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

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

Calls

3 calls:

27.0ms

(*.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))))

22.0ms

Results

Accuracy	Segments	Branch
63.8%	5	`l`
53.6%	2	`M`
61.5%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes73.0ms (0.3%)

Memory

-4.2MiB live, 142.8MiB allocated

Counts

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

Calls

3 calls:

24.0ms

22.0ms

20.0ms

(*.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
59.6%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
63.5%	6	`d`
60.4%	4	`l`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes110.0ms (0.5%)

Memory

-5.5MiB live, 154.4MiB allocated

Counts

56 → 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 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)))) (sqrt.f64 (.f64 (/.f64 d (.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)))) (sqrt.f64 (/.f64 (.f64 d d) (.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 #s(literal 1 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 d (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
(.f64 (sqrt.f64 d) #s(approx ( (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))) (sqrt.f64 (/.f64 d (*.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)))) (sqrt.f64 (/.f64 (.f64 d #s(literal 1 binary64)) (.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
(.f64 (sqrt.f64 d) #s(approx ( (sqrt (/ 1 l)) (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))) (neg.f64 (sqrt.f64 (/.f64 d (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (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 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(.f64 #s(approx ( (sqrt (/ d l)) (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* d (* d 4)))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* M (* D D))) (* d l)) (/ (* -1/2 h) (* d 4))) 1)) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
(.f64 #s(approx ( (sqrt (/ d l)) (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* d (* d 4)))))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* M (* D D))) (* d l)) (/ (* -1/2 h) (* d 4))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 d (.f64 (/.f64 #s(literal 1 binary64) l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d #s(literal 8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) D) (/.f64 (.f64 M (.f64 M D)) (*.f64 d #s(literal 8 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))) d))
#s(approx (/ (* (sqrt (/ d h)) (+ (* (* (/ (* M D) d) (/ (* M D) (* d 4))) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) d))
#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (/ (* (sqrt (/ d h)) (+ (* (* (/ (* M D) d) (/ (* M D) (* d 4))) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 (neg.f64 M) M) d))))
#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (neg.f64 M) (.f64 M (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 h h)) (+.f64 #s(literal 0 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (/.f64 (.f64 l l) h)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))))

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

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

Calls

5 calls:

36.0ms	D
23.0ms	d
18.0ms	l
15.0ms	(.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))))
14.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
45.2%	2	`D`
46.3%	2	`(*.f64 M 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))))`
55.0%	4	`d`
55.6%	3	`l`

Compiler

Compiled 66 to 43 computations (34.8% saved)

regimes17.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

51 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
55.5%	3	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes70.0ms (0.3%)

Memory

-0.1MiB live, 120.6MiB allocated

Counts

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

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

Calls

5 calls:

17.0ms	l
14.0ms	h
13.0ms	d
12.0ms	M
11.0ms	(.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
48.4%	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))))`
47.2%	2	`d`
49.1%	3	`h`
40.2%	2	`M`
51.1%	3	`l`

Compiler

Compiled 64 to 42 computations (34.4% saved)

regimes32.0ms (0.2%)

Memory

-8.7MiB live, 63.3MiB allocated

Counts

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

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

#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:

16.0ms	h
14.0ms	l

Results

Accuracy	Segments	Branch
49.1%	3	`h`
49.0%	3	`l`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes22.0ms (0.1%)

Memory

-27.9MiB live, 29.9MiB allocated

Counts

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

Outputs

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

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

#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:

20.0ms

Results

Accuracy	Segments	Branch
49.1%	3	`h`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes24.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

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

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

Calls

3 calls:

7.0ms	l
7.0ms	h
7.0ms	d

Results

Accuracy	Segments	Branch
46.8%	2	`d`
46.4%	2	`l`
48.4%	3	`h`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes21.0ms (0.1%)

Memory

-12.8MiB live, 27.0MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

8.0ms	l
3.0ms	d
3.0ms	h
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))))
3.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
32.9%	2	`(*.f64 M D)`
45.2%	2	`l`
43.9%	2	`h`
34.9%	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))))`
44.9%	2	`d`

Compiler

Compiled 66 to 43 computations (34.8% saved)

regimes18.0ms (0.1%)

Memory

2.8MiB live, 37.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

Calls

5 calls:

6.0ms	h
3.0ms	D
3.0ms	l
3.0ms	M
3.0ms	d

Results

Accuracy	Segments	Branch
31.2%	2	`M`
36.4%	2	`h`
38.0%	2	`d`
32.1%	2	`D`
37.8%	2	`l`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes12.0ms (0.1%)

Memory

-5.1MiB live, 32.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Calls

7 calls:

3.0ms	M
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	l
1.0ms	D
1.0ms	h

Results

Accuracy	Segments	Branch
28.7%	1	`M`
28.7%	1	`D`
28.7%	1	`(*.f64 M D)`
28.7%	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))))`
28.7%	1	`h`
28.7%	1	`l`
28.7%	1	`d`

Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch104.0ms (0.5%)

Memory

17.4MiB live, 216.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-1.994772854034981e-308	2.221207812245938e-307
48.0ms	-9.102065470003914e-150	-2.3282005095199633e-152

Samples

45.0ms	240×	0	valid
28.0ms	225×	0	invalid

Compiler

Compiled 1 245 to 804 computations (35.4% saved)

Precisions

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

ival-div: 22.0ms (39.8% of total)

ival-mult: 14.0ms (25.4% of total)

ival-pow: 10.0ms (18.1% of total)

ival-pow2: 5.0ms (9.1% of total)

ival-sub: 3.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch226.0ms (1.1%)

Memory

27.1MiB live, 498.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
79.0ms	2.879536109212869e+106	2.1346190528543346e+127
61.0ms	-9.318931373946009e-307	4.319848204794151e-307
62.0ms	-2.1198713482300692e+158	-7.731748246099671e+152

Samples

92.0ms	448×	0	valid
75.0ms	482×	0	invalid

Compiler

Compiled 2 205 to 1 435 computations (34.9% saved)

Precisions

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

ival-mult: 48.0ms (37.5% of total)

ival-div: 31.0ms (24.2% of total)

ival-pow: 31.0ms (24.2% of total)

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

ival-sub: 8.0ms (6.2% of total)

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

exact: 1.0ms (0.8% of total)

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

bsearch6.0ms (0%)

Memory

-27.5MiB live, 11.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-9.318931373946009e-307	4.319848204794151e-307
1.0ms	-2.1198713482300692e+158	-7.731748246099671e+152

Compiler

Compiled 1 353 to 907 computations (33% saved)

bsearch1.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0639247698279717e+234	+inf

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0639247698279717e+234	+inf
0.0ms	5.229662031129137e-292	9.531388735434342e-252
0.0ms	-3.4170384062132024e-167	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0639247698279717e+234	+inf
0.0ms	5.229662031129137e-292	9.531388735434342e-252
0.0ms	-3.4170384062132024e-167	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0639247698279717e+234	+inf
0.0ms	5.229662031129137e-292	9.531388735434342e-252
0.0ms	-2.109637372398291e-151	-3.4170384062132024e-167

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0639247698279717e+234	+inf
0.0ms	5.229662031129137e-292	9.531388735434342e-252
0.0ms	-2.109637372398291e-151	-3.4170384062132024e-167

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch264.0ms (1.2%)

Memory

-11.9MiB live, 480.3MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
45.0ms	7.6482224831635855e+112	1.6961856659193503e+117
66.0ms	1.9150102789101535e-32	1.0402405697514107e-20
72.0ms	3.75214153359561e-305	3.4214544157731355e-302
57.0ms	-1.5301157802057518e-35	-2.176971493063931e-40

Samples

110.0ms	558×	0	invalid
91.0ms	560×	0	valid

Compiler

Compiled 2 026 to 1 334 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-div: 40.0ms (30.5% of total)

ival-mult: 38.0ms (29% of total)

ival-pow: 36.0ms (27.4% of total)

ival-pow2: 11.0ms (8.4% of total)

ival-sub: 5.0ms (3.8% of total)

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

exact: 1.0ms (0.8% of total)

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

bsearch111.0ms (0.5%)

Memory

-30.1MiB live, 91.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
57.0ms	2.708092424268899e-96	1.0141186575928133e-94
1.0ms	3.75214153359561e-305	3.4214544157731355e-302
1.0ms	-1.5301157802057518e-35	-2.176971493063931e-40

Samples

20.0ms	112×	0	valid
15.0ms	107×	0	invalid

Compiler

Compiled 1 297 to 876 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 11.0ms (40.1% of total)

ival-mult: 7.0ms (25.5% of total)

ival-pow: 7.0ms (25.5% of total)

ival-pow2: 2.0ms (7.3% of total)

ival-sub: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch107.0ms (0.5%)

Memory

14.2MiB live, 129.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
77.0ms	-1.8341708093629708e-304	3.75214153359561e-305
1.0ms	-1.5301157802057518e-35	-2.176971493063931e-40

Samples

44.0ms	169×	0	invalid
23.0ms	144×	0	valid

Compiler

Compiled 844 to 570 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 11.0ms (29.9% of total)

ival-mult: 11.0ms (29.9% of total)

ival-pow: 9.0ms (24.4% of total)

ival-pow2: 3.0ms (8.1% of total)

ival-sub: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch55.0ms (0.3%)

Memory

-5.9MiB live, 73.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.8341708093629708e-304	3.75214153359561e-305
43.0ms	-6.669442109163166e-7	-4.980230813189716e-8

Samples

15.0ms	96×	0	valid
13.0ms	94×	0	invalid

Compiler

Compiled 688 to 459 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 7.0ms (32.5% of total)

ival-mult: 6.0ms (27.9% of total)

ival-pow: 6.0ms (27.9% of total)

ival-pow2: 2.0ms (9.3% of total)

ival-sub: 1.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch69.0ms (0.3%)

Memory

12.3MiB live, 86.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.8341708093629708e-304	3.75214153359561e-305
64.0ms	-5.155073885604583e-239	-7.71147247509875e-240

Samples

43.0ms	96×	0	valid
14.0ms	100×	0	invalid

Compiler

Compiled 613 to 399 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-pow: 23.0ms (45.6% of total)

ival-mult: 18.0ms (35.7% of total)

ival-div: 7.0ms (13.9% of total)

ival-pow2: 2.0ms (4% of total)

ival-sub: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch161.0ms (0.8%)

Memory

17.7MiB live, 174.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
62.0ms	4.5937182062273436e-293	3.002000244190248e-292
90.0ms	-4.018645801027548e+193	-1.6998494117702797e+190

Samples

91.0ms	250×	0	invalid
35.0ms	224×	0	valid

Compiler

Compiled 503 to 370 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-pow: 46.0ms (45.4% of total)

ival-mult: 32.0ms (31.6% of total)

ival-div: 16.0ms (15.8% of total)

ival-pow2: 4.0ms (3.9% of total)

ival-sub: 2.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.5937182062273436e-293	3.002000244190248e-292
1.0ms	-4.018645801027548e+193	-1.6998494117702797e+190

Compiler

Compiled 479 to 346 computations (27.8% saved)

bsearch108.0ms (0.5%)

Memory

-45.6MiB live, 93.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
96.0ms	1.597368895305833e-266	3.0218255835771303e-259

Samples

65.0ms	144×	0	valid
21.0ms	177×	0	invalid

Compiler

Compiled 313 to 228 computations (27.2% saved)

Precisions

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

ival-pow: 37.0ms (49.6% of total)

ival-div: 23.0ms (30.8% of total)

ival-mult: 10.0ms (13.4% of total)

ival-pow2: 3.0ms (4% of total)

ival-sub: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch53.0ms (0.3%)

Memory

34.4MiB live, 72.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	-5.155073885604583e-239	-7.71147247509875e-240

Samples

30.0ms	80×	0	valid
14.0ms	99×	0	invalid

Compiler

Compiled 217 to 156 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 22.0ms (59.7% of total)

ival-div: 6.0ms (16.3% of total)

ival-pow: 5.0ms (13.6% of total)

ival-pow2: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch106.0ms (0.5%)

Memory

1.6MiB live, 117.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
100.0ms	-6.572895992176663e-200	-1.435719911684363e-207

Samples

53.0ms	148×	0	invalid
37.0ms	144×	0	valid

Compiler

Compiled 295 to 201 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 25.0ms (41.3% of total)

ival-mult: 25.0ms (41.3% of total)

ival-pow: 6.0ms (9.9% of total)

ival-pow2: 3.0ms (5% of total)

ival-sub: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify93.0ms (0.4%)

Memory

-5.3MiB live, 79.2MiB allocated

Algorithm

1×	egg-herbie

Rules

198×	`*-commutative_binary64`
128×	`neg-mul-1_binary64`
84×	`unsub-neg_binary64`
64×	`distribute-rgt-neg-in_binary64`
62×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	294	2929
1	388	2929
2	426	2929
3	474	2929
4	511	2929
5	535	2929
6	626	2929
7	756	2929
8	761	2929

Stop Event

1×

saturated

Calls

Call 1

Inputs
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(if (<=.f64 l #s(literal -733155940312959/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 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 d l)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 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 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
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(if (<=.f64 d #s(literal 1905611964003583/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144 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 h l))) (neg.f64 d))) #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)))))
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Outputs
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(if (<=.f64 h #s(literal -104000000000000004366519880547861385231460806041594876697399539296410494441896242439577876584732355939601545933696519098560563610706426010952240577123845144576 binary64)) (/.f64 (.f64 (sqrt.f64 (neg.f64 d)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 4 binary64) (.f64 d d))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 h #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 h #s(literal -1/2 binary64)) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (if (<=.f64 h #s(literal 850000000000000021974506609178864268117980095853387679776982716939058459693124773415049578225294023418828046829879296 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 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 (sqrt.f64 d) (sqrt.f64 l)))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 h #s(literal -1/2 binary64)) l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h))))))
(if (<=.f64 h #s(literal -104000000000000004366519880547861385231460806041594876697399539296410494441896242439577876584732355939601545933696519098560563610706426010952240577123845144576 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 h #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 #s(literal -1/2 binary64) h) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 #s(literal -1/2 binary64) h) l)) #s(literal 1 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))))
(if (<=.f64 h #s(literal -104000000000000004366519880547861385231460806041594876697399539296410494441896242439577876584732355939601545933696519098560563610706426010952240577123845144576 binary64)) (/.f64 (.f64 (sqrt.f64 (neg.f64 d)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 4 binary64) (.f64 d d))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 h #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 h #s(literal -1/2 binary64)) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 h #s(literal -1/2 binary64)) l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal +inf.0 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 #s(literal -1/2 binary64) h) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))))
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(if (<=.f64 h #s(literal -15599999999999999169109010827615360127925335077065641487524230147779317132871861802912847918082559581084417701890329087564561778071192568391092058358483739693405407359850019434261665380799873024 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 d l)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))) (if (<=.f64 h #s(literal 8269388420366653/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) #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 -15599999999999999169109010827615360127925335077065641487524230147779317132871861802912847918082559581084417701890329087564561778071192568391092058358483739693405407359850019434261665380799873024 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) (if (<=.f64 h #s(literal 8269388420366653/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 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 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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 h #s(literal -15599999999999999169109010827615360127925335077065641487524230147779317132871861802912847918082559581084417701890329087564561778071192568391092058358483739693405407359850019434261665380799873024 binary64)) (.f64 #s(approx ( (sqrt (/ d l)) (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* d (* d 4)))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) (if (<=.f64 h #s(literal 8269388420366653/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) #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 -15599999999999999169109010827615360127925335077065641487524230147779317132871861802912847918082559581084417701890329087564561778071192568391092058358483739693405407359850019434261665380799873024 binary64)) (.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* d (* d 4)))))) (sqrt.f64 (/.f64 d l)))) (if (<=.f64 h #s(literal 8269388420366653/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 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 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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 d #s(literal 1905611964003583/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144 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 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 d #s(literal 1905611964003583/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144 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 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 (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 l #s(literal -7319828908084583/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 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 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 l #s(literal -7319828908084583/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 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 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 h l)))))
(if (<=.f64 d #s(literal -3033608744706093/2757826131550993649364364103715456897804056554542556176448634698108099443712107910064330000971904293916892446775667965408323532095584366159791555750475533307061324308088589961496711008293655788792731796366049346060288 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.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 d (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 d #s(literal -3033608744706093/2757826131550993649364364103715456897804056554542556176448634698108099443712107910064330000971904293916892446775667965408323532095584366159791555750475533307061324308088589961496711008293655788792731796366049346060288 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.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 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 h l))))

soundness2.4s (11.5%)

Memory

13.5MiB live, 2 042.3MiB allocated

Rules

8 800×	`lower-*.f64`
8 800×	`lower-*.f32`
8 152×	`lower-*.f64`
8 152×	`lower-*.f32`
7 446×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	19798
1	863	19352
2	3084	19266
3	6970	19200
0	8723	18723
0	317	16484
1	901	16031
2	3220	15938
3	7055	15857
0	8624	15536
0	22	64
0	38	60
1	124	59
2	828	59
0	8726	58
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125
0	87	471
0	135	451
1	477	387
2	3831	367
0	8178	365
0	75	443
0	123	417
1	428	368
2	3227	352
0	8559	347
0	72	352
0	121	330
1	373	289
2	2779	288
0	9929	288

Stop Event

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

Compiler

Compiled 4 465 to 1 905 computations (57.3% saved)

preprocess165.0ms (0.8%)

Memory

4.7MiB live, 360.0MiB allocated

Remove

(sort M D)

(abs M)

(abs D)

Compiler

Compiled 4 408 to 930 computations (78.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze408.0ms (1.9%)

sample5.6s (26.6%)

explain385.0ms (1.8%)

preprocess214.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify187.0ms (0.9%)

localize79.0ms (0.4%)

series49.0ms (0.2%)

simplify266.0ms (1.3%)

rewrite283.0ms (1.3%)

eval185.0ms (0.9%)

prune169.0ms (0.8%)

simplify198.0ms (0.9%)

localize267.0ms (1.3%)

series72.0ms (0.3%)

simplify326.0ms (1.5%)

rewrite365.0ms (1.7%)

eval510.0ms (2.4%)

prune449.0ms (2.1%)

simplify223.0ms (1.1%)

localize248.0ms (1.2%)

series82.0ms (0.4%)

simplify600.0ms (2.8%)

rewrite303.0ms (1.4%)

eval436.0ms (2.1%)

prune427.0ms (2%)

simplify254.0ms (1.2%)

localize318.0ms (1.5%)

series122.0ms (0.6%)

simplify364.0ms (1.7%)

rewrite299.0ms (1.4%)

eval514.0ms (2.4%)

prune317.0ms (1.5%)

regimes437.0ms (2.1%)

regimes326.0ms (1.5%)

regimes60.0ms (0.3%)

regimes334.0ms (1.6%)

regimes82.0ms (0.4%)

regimes368.0ms (1.7%)

regimes211.0ms (1%)

regimes84.0ms (0.4%)

regimes169.0ms (0.8%)

regimes77.0ms (0.4%)

regimes73.0ms (0.3%)

regimes110.0ms (0.5%)

regimes17.0ms (0.1%)

regimes70.0ms (0.3%)

regimes32.0ms (0.2%)

regimes22.0ms (0.1%)

regimes24.0ms (0.1%)

regimes21.0ms (0.1%)

regimes18.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch104.0ms (0.5%)

bsearch226.0ms (1.1%)

bsearch6.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch264.0ms (1.2%)

bsearch111.0ms (0.5%)

bsearch107.0ms (0.5%)

bsearch55.0ms (0.3%)

bsearch69.0ms (0.3%)

bsearch161.0ms (0.8%)

bsearch2.0ms (0%)

bsearch108.0ms (0.5%)

bsearch53.0ms (0.3%)

bsearch106.0ms (0.5%)

simplify93.0ms (0.4%)

soundness2.4s (11.5%)

preprocess165.0ms (0.8%)

end0.0ms (0%)

Profiling