Metrics for Henrywood and Agarwal, Equation (12)

analyze670.0ms (5.5%)

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 41 to 23 computations (43.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 459.0ms

ival-pow: 252.0ms (54.9% of total)

ival-div: 102.0ms (22.2% of total)

ival-mult: 86.0ms (18.7% of total)

ival-sub: 15.0ms (3.3% of total)

const: 4.0ms (0.9% of total)

backward-pass: 1.0ms (0.2% of total)

sample7.1s (58.4%)

Results

3.6s	13469×	0	invalid
2.2s	8256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.7s

ival-mult: 1.8s (38.7% of total)

ival-pow: 1.6s (34% of total)

ival-div: 1.1s (22.8% of total)

ival-sub: 170.0ms (3.6% of total)

const: 37.0ms (0.8% of total)

backward-pass: 7.0ms (0.1% of total)

Bogosity

preprocess146.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

811×	`distribute-lft-neg-in`
773×	`distribute-rgt-neg-in`
414×	`neg-sub0`
413×	`neg-mul-1`
344×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	2460
1	578	2428
2	1980	2340
3	4745	2320

Stop Event

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

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

Symmetry

(abs M)

(abs D)

(sort M D)

explain272.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
71	127	(2.469992995552236e+41 6.629258071999138e-109 2.1579303876684333e+257 5.627328295639783e-60 2.7990440998585052e+146)	-	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
57	135	(2.469992995552236e+41 6.629258071999138e-109 2.1579303876684333e+257 5.627328295639783e-60 2.7990440998585052e+146)	-	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
47	0	-	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
27	0	-	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
21	0	-	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
0	0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`
0	0	-	-	`h`
0	0	-	-	`M`
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	-	-	`l`
0	0	-	-	`#s(literal 2 binary64)`
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	-	-	`(/.f64 d h)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	-	`(*.f64 M D)`
0	0	-	-	`(/.f64 d l)`
0	0	-	-	`d`
0	0	-	-	`#s(literal 1 binary64)`
0	36	(2.469992995552236e+41 6.629258071999138e-109 2.1579303876684333e+257 5.627328295639783e-60 2.7990440998585052e+146)	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	0	-	-	`D`
0	0	-	-	`(*.f64 #s(literal 2 binary64) d)`
0	0	-	-	`(/.f64 h l)`

Results

159.0ms

512×

valid

Compiler

Compiled 360 to 68 computations (81.1% saved)

Precisions

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

ival-pow: 56.0ms (54.8% of total)

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

ival-div: 19.0ms (18.6% of total)

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

const: 1.0ms (1% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 111 to 42 computations (62.2% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
▶	68.9%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
▶	68.9%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 D d))) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

68.9%

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

▶

68.9%

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

▶

68.9%

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

Compiler

Compiled 95 to 66 computations (30.5% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

737×	`distribute-rgt-neg-in`
733×	`distribute-lft-neg-in`
558×	`fma-define`
545×	`times-frac`
348×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	1504
1	111	1484
2	365	1484
3	2106	1484
4	4110	1484

Stop Event

1×	node limit

Calls

Call 1

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

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

localize549.0ms (4.5%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	92.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	accuracy	82.8%	(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l))
✓	accuracy	79.8%	(sqrt.f64 (/.f64 d h))
✓	accuracy	74.7%	(sqrt.f64 (/.f64 d l))
✓	accuracy	92.1%	(*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d))
✓	accuracy	82.6%	(.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	79.8%	(sqrt.f64 (/.f64 d h))
✓	accuracy	74.7%	(sqrt.f64 (/.f64 d l))
✓	accuracy	92.8%	(*.f64 M (/.f64 D d))
✓	accuracy	87.6%	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 D d))) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
✓	accuracy	79.8%	(sqrt.f64 (/.f64 d h))
✓	accuracy	74.7%	(sqrt.f64 (/.f64 d l))

Results

285.0ms

256×

valid

Compiler

Compiled 393 to 39 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 130.0ms (77.3% of total)

ival-div: 11.0ms (6.5% of total)

compiled-spec: 10.0ms (5.9% of total)

ival-pow: 8.0ms (4.8% of total)

ival-sqrt: 4.0ms (2.4% of total)

ival-add: 3.0ms (1.8% of total)

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

const: 1.0ms (0.6% of total)

backward-pass: 0.0ms (0% of total)

series201.0ms (1.6%)

Counts

13 → 484

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
64.0ms	M	@	-inf	(* D (/ (/ M 2) d))
23.0ms	M	@	inf	(* (sqrt (/ d h)) (* (sqrt (/ d l)) (+ (* (pow (* 1/2 (* M (/ D d))) 2) (* -1/2 (/ h l))) 1)))
8.0ms	M	@	0	(+ (* (pow (* 1/2 (* M (/ D d))) 2) (* -1/2 (/ h l))) 1)
7.0ms	d	@	0	(* (sqrt (/ d h)) (* (sqrt (/ d l)) (+ (* (pow (* 1/2 (* M (/ D d))) 2) (* -1/2 (/ h l))) 1)))
6.0ms	D	@	0	(* D (/ (/ M 2) d))

rewrite279.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

317×	`log1p-expm1-u`
317×	`expm1-log1p-u`
312×	`add-cube-cbrt`
308×	`add-exp-log`
307×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	601
1	723	586

Stop Event

1×	node limit

Counts

13 → 278

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 3 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(exp.f64 (log.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 M (/.f64 d D)))) #s(literal 1 binary64))
(/.f64 M (/.f64 d D))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M D)))
(/.f64 (*.f64 M D) d)
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 d))
(pow.f64 (/.f64 M (/.f64 d D)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 M (/.f64 d D))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 M (/.f64 d D))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 M) (/.f64 D d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 M (/.f64 d D)))))
(cbrt.f64 (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (/.f64 D d) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 3 binary64)) (pow.f64 M #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 M (/.f64 d D))))
(log1p.f64 (expm1.f64 (/.f64 M (/.f64 d D))))
(exp.f64 (log.f64 (/.f64 M (/.f64 d D))))
(exp.f64 (*.f64 (log.f64 (/.f64 M (/.f64 d D))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 h (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64))) (/.f64 l h))
(/.f64 (.f64 h (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64)))) l)
(/.f64 (neg.f64 (.f64 h (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64))))) (neg.f64 l))
(pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64))) (/.f64 h l)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d))) #s(literal 1 binary64))
(/.f64 D (*.f64 d (/.f64 #s(literal 2 binary64) M)))
(/.f64 #s(literal 1 binary64) (/.f64 d (.f64 D (.f64 M #s(literal 1/2 binary64)))))
(/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)
(/.f64 (neg.f64 (.f64 D (.f64 M #s(literal 1/2 binary64)))) (neg.f64 d))
(pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d))
(log.f64 (pow.f64 (exp.f64 D) (/.f64 M (*.f64 d #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 D #s(literal 3 binary64)) (pow.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 D #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)))
(log1p.f64 (expm1.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)))
(exp.f64 (log.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) h)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (/.f64 l h))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) h) l)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) h)) (neg.f64 l))
(pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 M (/.f64 d D))) (sqrt.f64 (/.f64 h l))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (/.f64 h l)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l)))))) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l)))) (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 3 binary64)) (pow.f64 (/.f64 d (*.f64 (sqrt.f64 h) (sqrt.f64 l))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l))))))
(exp.f64 (+.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))))) (log.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))))))
(exp.f64 (.f64 (+.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))))) (log.f64 (/.f64 d (*.f64 (sqrt.f64 h) (sqrt.f64 l))))) #s(literal 1 binary64)))

simplify441.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

581×	`associate-r`
580×	`associate-l`
383×	`cube-prod`
349×	`*-commutative`
339×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	803	45793
1	1755	41115
2	6243	41115

Stop Event

1×	node limit

Counts

762 → 460

Calls

Call 1

Inputs
(.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
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(exp.f64 (+.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))))) (log.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))))))
(exp.f64 (.f64 (+.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))))) (log.f64 (/.f64 d (*.f64 (sqrt.f64 h) (sqrt.f64 l))))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 #s(literal -1/8 binary64) (.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 D #s(literal 2 binary64))) (/.f64 (pow.f64 M #s(literal 2 binary64)) d)))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) d)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) d)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) d)
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))))
(.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))
(.f64 d (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))))
(.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))
(.f64 d (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))))
(.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))
(.f64 d (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(.f64 #s(literal -1 binary64) (.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(.f64 #s(literal -1 binary64) (.f64 d (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 d #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 (neg.f64 d) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 2 binary64)))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal -1 binary64))) (neg.f64 d))
(.f64 #s(literal -1 binary64) (.f64 d (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 d #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 (neg.f64 d) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 2 binary64)))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal -1 binary64))) (neg.f64 d))
(.f64 #s(literal -1 binary64) (.f64 d (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 d #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 (neg.f64 d) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 2 binary64)))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal -1 binary64))) (neg.f64 d))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))) d) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) d)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))) d) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) d)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))) d) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) d)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
(.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 #s(literal -1/8 binary64) (.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 D #s(literal 2 binary64))) (/.f64 (pow.f64 M #s(literal 2 binary64)) d)))
(.f64 h (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (pow.f64 l #s(literal 3 binary64))))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))))))
(.f64 h (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (pow.f64 h #s(literal 3 binary64))))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal 3 binary64))) l)) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64)))))
(.f64 h (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (pow.f64 l #s(literal 3 binary64))))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))))))
(.f64 h (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (pow.f64 h #s(literal 3 binary64))))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal 3 binary64))) l)) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64)))))
(.f64 h (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (pow.f64 l #s(literal 3 binary64))))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))))))
(.f64 h (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (pow.f64 h #s(literal 3 binary64))))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal 3 binary64))) l)) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64)))))
(.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) d))))
(.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 D #s(literal 2 binary64))) (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) d))))
(.f64 #s(literal -1 binary64) (.f64 h (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (pow.f64 l #s(literal 3 binary64))))))))))
(.f64 (neg.f64 h) (fma.f64 #s(literal -1 binary64) (.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (pow.f64 h #s(literal 3 binary64)))))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (pow.f64 l #s(literal 3 binary64))))))))
(.f64 (fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal 3 binary64))) l)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) d))) #s(literal 1/8 binary64)))) (neg.f64 h))
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(.f64 d (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (.f64 (sqrt.f64 h) (sqrt.f64 l))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (.f64 d (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (.f64 (sqrt.f64 h) (sqrt.f64 l))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))) (/.f64 h l))))))
(.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 d (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (.f64 (sqrt.f64 h) (sqrt.f64 l))))
(exp.f64 (+.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))))) (log.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))))))
(.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 d (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (.f64 (sqrt.f64 h) (sqrt.f64 l))))
(exp.f64 (.f64 (+.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64)))))) (log.f64 (/.f64 d (*.f64 (sqrt.f64 h) (sqrt.f64 l))))) #s(literal 1 binary64)))
(.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 d (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (.f64 (sqrt.f64 h) (sqrt.f64 l))))

eval93.0ms (0.8%)

Compiler: Compiled 22240 to 2620 computations (88.2% saved)

prune211.0ms (1.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	712	24	736
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	715	24	739

Accuracy

92.6%

Counts

739 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) d)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
	18.5%	(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)
	11.0%	(.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) d)) (.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 M #s(literal 2 binary64))))))
▶	38.9%	(.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	37.3%	(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (.f64 (sqrt.f64 (/.f64 d h)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	67.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) (.f64 (sqrt.f64 (/.f64 d h)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	68.7%	(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 d h)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
▶	73.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 M (/.f64 d D))) (sqrt.f64 (/.f64 h l))) #s(literal 2 binary64)))))
	69.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (/.f64 l h)))))
	68.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (.f64 d (/.f64 #s(literal 1 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	43.6%	(.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	17.1%	(.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 D #s(literal 2 binary64))) (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) d))))
	38.9%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	70.4%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64)))) l))))
	71.2%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 h (.f64 (/.f64 #s(literal -1/8 binary64) l) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64))))
▶	21.3%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) h)) (.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
	35.4%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	40.3%	(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
	10.3%	(*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 (/.f64 d l))))
	27.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))
	56.5%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	40.0%	(.f64 d (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (.f64 (sqrt.f64 h) (sqrt.f64 l))))
▶	28.9%	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
▶	16.5%	(.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))

Compiler

Compiled 1364 to 954 computations (30.1% saved)

simplify206.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sqrt.f64 (/.f64 d h))
✓	cost-diff	6400	(.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) h)) (.f64 (pow.f64 d #s(literal 2 binary64)) l)))
✓	cost-diff	6400	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
✓	cost-diff	6400	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) h)) (.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
✓	cost-diff	0	(*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d)
✓	cost-diff	0	(.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
✓	cost-diff	0	(.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
✓	cost-diff	0	(sqrt.f64 l)
✓	cost-diff	0	(sqrt.f64 h)
✓	cost-diff	0	(/.f64 d (sqrt.f64 h))
✓	cost-diff	0	(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
✓	cost-diff	0	(*.f64 h l)
✓	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	(sqrt.f64 (/.f64 d l))
	cost-diff	0	(/.f64 d h)
	cost-diff	0	(sqrt.f64 (/.f64 d h))
	cost-diff	0	(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))

Rules

944×	`times-frac`
896×	`fma-define`
517×	`associate-r`
434×	`associate-l`
384×	`neg-sub0`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	1904
1	151	1904
2	502	1882
3	3238	1882
4	6541	1882

Stop Event

1×	node limit

Calls

Call 1

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

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

localize384.0ms (3.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	89.1%	(sqrt.f64 (/.f64 d l))
	accuracy	88.8%	(sqrt.f64 (/.f64 d h))
✓	accuracy	88.5%	(.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) h))
✓	accuracy	88.3%	(/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))
✓	accuracy	97.0%	(/.f64 h (pow.f64 l #s(literal 3 binary64)))
✓	accuracy	89.2%	(.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
✓	accuracy	87.6%	(*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))
✓	accuracy	82.5%	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
✓	accuracy	98.5%	(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
✓	accuracy	97.3%	(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
✓	accuracy	96.3%	(.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	accuracy	89.2%	(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l))
✓	accuracy	100.0%	(*.f64 h l)
✓	accuracy	99.8%	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 h l))
✓	accuracy	88.7%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
✓	accuracy	95.3%	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 M (/.f64 d D))) (sqrt.f64 (/.f64 h l)))
✓	accuracy	90.4%	(sqrt.f64 (/.f64 h l))
	accuracy	89.1%	(sqrt.f64 (/.f64 d l))
	accuracy	88.8%	(sqrt.f64 (/.f64 d h))

Results

121.0ms	130×	0	valid
80.0ms	126×	0	invalid

Compiler

Compiled 499 to 59 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 71.0ms (53.7% of total)

ival-div: 23.0ms (17.4% of total)

ival-pow: 22.0ms (16.6% of total)

ival-sqrt: 12.0ms (9.1% of total)

ival-sub: 3.0ms (2.3% of total)

const: 1.0ms (0.8% of total)

backward-pass: 0.0ms (0% of total)

series218.0ms (1.8%)

Counts

23 → 392

Calls

Call 1

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

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

Calls

219 calls:

Time	Variable		Point	Expression
107.0ms	d	@	inf	(* (* 1/2 (/ M (/ d D))) (sqrt (/ h l)))
4.0ms	D	@	0	(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
3.0ms	l	@	0	(* (sqrt (/ d l)) (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
2.0ms	D	@	0	(* (/ (/ d (sqrt h)) (sqrt l)) (- 1 (* 1/2 (* (pow (* (/ M 2) (/ D d)) 2) (/ h l)))))
2.0ms	M	@	0	(* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))

rewrite181.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log1p-expm1-u`
481×	`expm1-log1p-u`
474×	`add-exp-log`
472×	`add-log-exp`
470×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	871
1	1110	853

Stop Event

1×	node limit

Counts

23 → 395

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) d))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l) #s(literal 3/2 binary64)) (pow.f64 d #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 d (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 h l))) (cbrt.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 h l) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 h l))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))
(pow.f64 (*.f64 h l) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 h l))) #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (cbrt.f64 h) l) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (cbrt.f64 h) l) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 h) (sqrt.f64 (pow.f64 l #s(literal 3 binary64))))
(pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 h (pow.f64 l #s(literal 3 binary64))))
(*.f64 h (pow.f64 l #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 h) l) #s(literal 2 binary64)) (/.f64 (cbrt.f64 h) l))
(pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cbrt.f64 h) l) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))
(log.f64 (pow.f64 (exp.f64 h) (pow.f64 l #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 l (pow.f64 d #s(literal 2 binary64)))))
(.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) (*.f64 l (pow.f64 d #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (/.f64 #s(literal 1 binary64) (.f64 l (pow.f64 d #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 l (pow.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 l (pow.f64 d #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) l))
(pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 l (pow.f64 d #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) #s(literal 3 binary64)) (pow.f64 (*.f64 l (pow.f64 d #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 l (pow.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 D #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 D #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)))
(exp.f64 (log.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) #s(literal 1 binary64)))

simplify735.0ms (6%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-define`
728×	`associate-r`
625×	`associate-l`
285×	`*-commutative`
268×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	919	39457
1	1785	35977
2	6714	35569

Stop Event

1×	node limit

Counts

787 → 584

Calls

Call 1

Inputs
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 h) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 h) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 h) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 h) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 l) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
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(cbrt.f64 (pow.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 d (sqrt.f64 (.f64 h l))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 d (sqrt.f64 (.f64 h l))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))))))
(exp.f64 (+.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))))
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)))) #s(literal 1 binary64))
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) D) d)
(pow.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d))) #s(literal 2 binary64))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 M)) (/.f64 D d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 D d) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 3 binary64)) (pow.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d))))
(log1p.f64 (expm1.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d))))
(exp.f64 (log.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 D d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 h) (pow.f64 (pow.f64 l #s(literal -3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 h) l) (cbrt.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (cbrt.f64 h) l) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (cbrt.f64 h) l) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 h) (sqrt.f64 (pow.f64 l #s(literal 3 binary64))))
(pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 h (pow.f64 l #s(literal 3 binary64))))
(*.f64 h (pow.f64 l #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 h) l) #s(literal 2 binary64)) (/.f64 (cbrt.f64 h) l))
(pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cbrt.f64 h) l) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))
(log.f64 (pow.f64 (exp.f64 h) (pow.f64 l #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 l (pow.f64 d #s(literal 2 binary64)))))
(.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) (*.f64 l (pow.f64 d #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (/.f64 #s(literal 1 binary64) (.f64 l (pow.f64 d #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 l (pow.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 l (pow.f64 d #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) l))
(pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 l (pow.f64 d #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) #s(literal 3 binary64)) (pow.f64 (*.f64 l (pow.f64 d #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 l (pow.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 D #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 D #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)))
(exp.f64 (log.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) (neg.f64 d))
(.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) (neg.f64 d))
(.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) (neg.f64 d))
(.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) (neg.f64 d))
(.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) (neg.f64 d))
(.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) (neg.f64 d))
(.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) (neg.f64 d))
(.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))
(.f64 (.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) (neg.f64 d))
(.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))
(neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))
(neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))
(neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))
(neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))
(neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))
(neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))
(neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))
(neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))
(.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))
(.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))
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(expm1.f64 (log1p.f64 (.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))
(+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 l (pow.f64 d #s(literal 2 binary64)))))
(.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 l (pow.f64 d #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 l (pow.f64 d #s(literal 2 binary64)))))
(.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 l (pow.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 l (pow.f64 d #s(literal 2 binary64)))))
(.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) #s(literal 1 binary64))
(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal 3 binary64))
(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal 2 binary64))
(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h))
(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h))))
(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) #s(literal 3 binary64)))
(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 D #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))
(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 D #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 D #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)))
(expm1.f64 (log1p.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)))
(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(exp.f64 (log.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)))
(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) #s(literal 1 binary64)))
(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))

eval149.0ms (1.2%)

Compiler: Compiled 21687 to 3206 computations (85.2% saved)

prune191.0ms (1.6%)

Pruning

49 alts after pruning (47 fresh and 2 done)

	Pruned	Kept	Total
New	807	35	842
Fresh	7	12	19
Picked	3	2	5
Done	0	0	0
Total	817	49	866

Accuracy

93.9%

Counts

866 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) d)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
	39.7%	(/.f64 (.f64 (/.f64 d (sqrt.f64 h)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))) (sqrt.f64 l))
	27.3%	(.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))
	42.2%	(.f64 (pow.f64 (sqrt.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 M (/.f64 d D))) (sqrt.f64 (/.f64 h l))) #s(literal 2 binary64)))))
	41.8%	(.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) h) l))))
	41.9%	(.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 h (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) l))))))
	41.7%	(.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (.f64 h (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) l))))))))
	21.0%	(.f64 (/.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) d) #s(literal -1/8 binary64))
	39.3%	(.f64 (/.f64 (.f64 d (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	37.3%	(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (.f64 (sqrt.f64 (/.f64 d h)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	37.8%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	67.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) (.f64 (sqrt.f64 (/.f64 d h)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	32.5%	(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) h)) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 h #s(literal 3 binary64)))))) (neg.f64 h))
	38.9%	(.f64 (.f64 (/.f64 d (sqrt.f64 h)) (pow.f64 l #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	72.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (/.f64 d l)) (cbrt.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 M (/.f64 d D))) (sqrt.f64 (/.f64 h l))) #s(literal 2 binary64)))))
	39.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 M (/.f64 d D))) (/.f64 (sqrt.f64 h) (sqrt.f64 l))) #s(literal 2 binary64)))))
✓	73.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 M (/.f64 d D))) (sqrt.f64 (/.f64 h l))) #s(literal 2 binary64)))))
▶	73.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 D M) d) (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)))))
	69.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 M (/.f64 d D)) #s(literal 2 binary64))) (/.f64 l h)))))
	38.2%	(.f64 (.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	43.6%	(.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	27.3%	(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) (neg.f64 d))
	19.0%	(.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d))
	38.9%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	70.4%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 2 binary64)))) l))))
	25.9%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (/.f64 (/.f64 h l) (pow.f64 d #s(literal 2 binary64)))) (sqrt.f64 (/.f64 d l))))
✓	21.3%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) h)) (.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
	35.4%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	40.3%	(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
	10.3%	(*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 (/.f64 d l))))
	27.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))
▶	60.2%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 M (/.f64 d D))) (sqrt.f64 (/.f64 h l))) #s(literal 2 binary64)))))
	56.5%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))))
	19.7%	(.f64 (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 h (.f64 l (pow.f64 d #s(literal 2 binary64)))))))
	25.3%	(*.f64 d (pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
	28.9%	(*.f64 d (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l) #s(literal 1/2 binary64)))
▶	28.5%	(.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))
	28.4%	(.f64 d (pow.f64 (sqrt.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
	28.5%	(.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))))
	21.0%	(.f64 d (-.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
	28.7%	(.f64 d (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 h l))) #s(literal 3 binary64))))
	28.9%	(*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))
▶	27.0%	(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 h l #s(literal 1 binary64))))))
	27.7%	(.f64 d (sqrt.f64 (exp.f64 (neg.f64 (log.f64 (.f64 h l))))))
	19.8%	(.f64 d (log.f64 (exp.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))))
	27.9%	(.f64 d (expm1.f64 (log1p.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))))
	27.3%	(.f64 d (exp.f64 (.f64 (neg.f64 (log.f64 (*.f64 h l))) #s(literal 1/2 binary64))))
	26.2%	(.f64 d (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) #s(literal 3/2 binary64))))
▶	20.6%	(.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d))

Compiler

Compiled 2341 to 1686 computations (28% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 M (/.f64 d D))) (sqrt.f64 (/.f64 h l))) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 M (/.f64 d D))) (sqrt.f64 (/.f64 h l))) #s(literal 2 binary64)))))
✓	cost-diff	6400	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 M (/.f64 d D))) (sqrt.f64 (/.f64 h l))) #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 (*.f64 D M) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
✓	cost-diff	0	(/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d)
✓	cost-diff	0	(.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d))
✓	cost-diff	6528	(+.f64 #s(literal -1 binary64) (fma.f64 h l #s(literal 1 binary64)))
✓	cost-diff	6528	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 h l #s(literal 1 binary64))))
✓	cost-diff	6528	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 h l #s(literal 1 binary64)))))
✓	cost-diff	6528	(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 h l #s(literal 1 binary64))))))
	cost-diff	0	(*.f64 h l)
✓	cost-diff	0	(pow.f64 (*.f64 h l) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 d (pow.f64 (.f64 h l) #s(literal -1/2 binary64)))
	cost-diff	0	(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 D M) d) (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 D M) d) (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)))))
✓	cost-diff	6400	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 D M) d) (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)))

Rules

712×	`associate-*r/`
632×	`associate-*l/`
573×	`distribute-lft-neg-in`
562×	`distribute-rgt-neg-in`
555×	`distribute-neg-frac2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1616
1	121	1610
2	318	1576
3	1387	1570
4	5411	1570

Stop Event

1×	node limit

Calls

Call 1

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

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

localize4.0ms (0%)

Results

2.0ms

3×

valid

Compiler

Compiled 422 to 53 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

const: 0.0ms (0% of total)

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

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

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

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

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

backward-pass: 0.0ms (0% of total)

compiled-spec: 0.0ms (0% of total)

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

end0.0ms (0%)

Precisions: Click to see histograms. Total time spent on operations: 1.0ms
backward-pass: 0.0ms (0% of total)
compiled-spec: 0.0ms (0% of total)

analyze670.0ms (5.5%)

sample7.1s (58.4%)

preprocess146.0ms (1.2%)

explain272.0ms (2.2%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify72.0ms (0.6%)

localize549.0ms (4.5%)

series201.0ms (1.6%)

rewrite279.0ms (2.3%)

simplify441.0ms (3.6%)

eval93.0ms (0.8%)

prune211.0ms (1.7%)

simplify206.0ms (1.7%)

localize384.0ms (3.1%)

series218.0ms (1.8%)

rewrite181.0ms (1.5%)

simplify735.0ms (6%)

eval149.0ms (1.2%)

prune191.0ms (1.6%)

simplify71.0ms (0.6%)

localize4.0ms (0%)

end0.0ms (0%)

Profiling