Metrics for Henrywood and Agarwal, Equation (9a)

analyze597.0ms (3.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	7
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	8
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	9
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	10
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	11
18.8%	18.7%	81%	0.3%	0%	0%	0%	12

Compiler

Compiled 25 to 18 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-mult: 91.0ms (39.6% of total)

ival-pow: 45.0ms (19.6% of total)

ival-div: 35.0ms (15.2% of total)

ival-sub: 27.0ms (11.7% of total)

ival-sqrt: 26.0ms (11.3% of total)

const: 5.0ms (2.2% of total)

backward-pass: 1.0ms (0.4% of total)

sample2.9s (19.3%)

Results

1.1s	8256×	0	valid
576.0ms	2676×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 590.0ms (50.5% of total)

ival-div: 208.0ms (17.8% of total)

ival-pow: 198.0ms (16.9% of total)

ival-sqrt: 88.0ms (7.5% of total)

ival-sub: 61.0ms (5.2% of total)

const: 20.0ms (1.7% of total)

backward-pass: 4.0ms (0.3% of total)

Bogosity

preprocess138.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

472×	`cancel-sign-sub-inv`
406×	`*-commutative`
384×	`neg-mul-1`
383×	`neg-sub0`
368×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2099
1	533	2083
2	1583	2067
3	4555	2067

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 (neg.f64 w0) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 (neg.f64 M) D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M (neg.f64 D)) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) (neg.f64 d))) #s(literal 2 binary64)) (/.f64 h l)))))
(neg.f64 (.f64 (neg.f64 w0) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))))
(neg.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 (neg.f64 M) D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))))
(neg.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M (neg.f64 D)) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))))
(neg.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l))))))
(neg.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)))))))
(neg.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) (neg.f64 d))) #s(literal 2 binary64)) (/.f64 h l))))))
(.f64 M (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 w0 D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 D (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M w0) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 h (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 w0 l)))))
(.f64 l (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h w0)))))
(.f64 d (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) w0)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 h D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 M l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 l D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h M)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 d D) (.f64 #s(literal 2 binary64) M)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M h) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 D l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M l) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h D)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M d) (.f64 #s(literal 2 binary64) D)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 l h)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) h)) #s(literal 2 binary64)) (/.f64 d l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) l)) #s(literal 2 binary64)) (/.f64 h d)))))

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 (neg.f64 w0) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))) (neg.f64 w0))
(.f64 w0 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 (neg.f64 M) D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M (neg.f64 D)) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l))))))
(.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l))))))
(.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) (neg.f64 d))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(neg.f64 (.f64 (neg.f64 w0) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(neg.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 (neg.f64 M) D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))) (neg.f64 w0))
(.f64 w0 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(neg.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M (neg.f64 D)) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))) (neg.f64 w0))
(.f64 w0 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(neg.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l))))))
(.f64 (neg.f64 w0) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l))))))
(.f64 (neg.f64 w0) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(neg.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)))))))
(.f64 (neg.f64 w0) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l))))))
(.f64 (neg.f64 w0) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(neg.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) (neg.f64 d))) #s(literal 2 binary64)) (/.f64 h l))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))) (neg.f64 w0))
(.f64 w0 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 (neg.f64 w0) (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 M (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 w0 D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 M (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 w0 #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))))
(.f64 M (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 D (/.f64 w0 (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))))))
(.f64 M (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (.f64 D (/.f64 w0 (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) l)))))
(.f64 M (sqrt.f64 (fma.f64 (/.f64 h (neg.f64 l)) (pow.f64 (.f64 D (*.f64 #s(literal 1/2 binary64) (/.f64 w0 d))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 D (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M w0) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 D (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 w0 M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))))))
(.f64 D (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (*.f64 w0 (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64))))))
(.f64 D (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (.f64 M (/.f64 w0 (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) l)))))
(.f64 D (sqrt.f64 (neg.f64 (fma.f64 h (/.f64 (pow.f64 (.f64 w0 (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) l) #s(literal -1 binary64)))))
(.f64 h (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 w0 l)))))
(.f64 h (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 w0 l)))))
(.f64 h (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 w0 l)))))
(.f64 h (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 w0 (/.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) l)))))
(.f64 h (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 w0 (neg.f64 l)) #s(literal 1 binary64))))
(.f64 l (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h w0)))))
(.f64 l (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h w0)))))
(.f64 l (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h w0)))))
(.f64 l (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 w0)) #s(literal 1 binary64))))
(.f64 l (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 w0)) #s(literal 1 binary64))))
(.f64 d (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) w0)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 d (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 M (/.f64 D (.f64 w0 #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(.f64 d (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) w0) #s(literal 2 binary64))))))
(.f64 d (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (.f64 M (/.f64 D (.f64 w0 #s(literal 2 binary64)))) #s(literal 2 binary64)) l)))))
(.f64 d (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (.f64 M (/.f64 D (*.f64 w0 #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 h D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 M l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 h (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 M l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 h #s(literal 2 binary64))) d) #s(literal 2 binary64)) (/.f64 M l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (/.f64 (pow.f64 (.f64 h (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 l D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h M)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 l (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h M)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 l (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h M)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 l #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h M)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 (/.f64 l d) (/.f64 D #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h M)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 d D) (.f64 #s(literal 2 binary64) M)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D d) (.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 D (/.f64 d (.f64 M #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 d M)) #s(literal 2 binary64)) l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (neg.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 d M)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M h) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 D l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 h (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 D l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 (/.f64 h d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 D l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 h (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 D l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M l) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h D)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 l (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h D)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 l (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h D)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 l #s(literal 2 binary64)) d)) #s(literal 2 binary64)) D)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M d) (.f64 #s(literal 2 binary64) D)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 d D)) #s(literal 2 binary64))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M (/.f64 d #s(literal 2 binary64))) D) #s(literal 2 binary64))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (.f64 M (/.f64 d (.f64 D #s(literal 2 binary64)))) #s(literal 2 binary64)) l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (neg.f64 (pow.f64 (.f64 M (/.f64 d (*.f64 D #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 l h)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 l h)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 l h)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 l h)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (.f64 (/.f64 M d) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 l h)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) h)) #s(literal 2 binary64)) (/.f64 d l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) h))) #s(literal 2 binary64)) (/.f64 d l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 d (/.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) h))) #s(literal 2 binary64)) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 d (/.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) h) #s(literal 2 binary64)) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) l)) #s(literal 2 binary64)) (/.f64 h d)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) l))) #s(literal 2 binary64)) (/.f64 h d)))))

Symmetry

(abs M)

(abs D)

(abs d)

(negabs w0)

(sort M D)

explain149.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
41	0	-	1	(5.982231627351678e-30 108916456.79977119 7.996312880817095e+78 1.76615088018294e-258 -1.4608254122693078e+60 6.480400368438759e+51)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
34	0	-	0	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
14	0	-	1	(2.059090446674847e-294 8.271176833308182e-212 8.034501333595393e-106 9.37415932862025e+269 -581711821668350700.0 1.3016270373826677e-261)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
4	0	-	0	-	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
0	0	-	0	-	`h`
0	0	-	0	-	`M`
0	0	-	0	-	`l`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
0	0	-	0	-	`w0`
0	0	-	0	-	`(*.f64 M D)`
0	0	-	0	-	`d`
0	0	-	0	-	`#s(literal 1 binary64)`
0	95	(3.394868862870471e-280 6.842371516965828e-117 7.757885771350106e+47 2.4398437943705718e-20 8.048401803616796e-12 1.0154971167910484e-44)	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	0	-	0	-	`(/.f64 h l)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	0	-	0	-	`D`

Results

82.0ms

512×

valid

Compiler

Compiled 228 to 53 computations (76.8% saved)

Precisions

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

ival-mult: 15.0ms (41.2% of total)

ival-div: 8.0ms (22% of total)

ival-pow: 6.0ms (16.5% of total)

ival-sqrt: 4.0ms (11% of total)

ival-sub: 3.0ms (8.2% of total)

const: 1.0ms (2.7% of total)

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

eval1.0ms (0%)

Compiler: Compiled 78 to 41 computations (47.4% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
▶	78.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Status

Accuracy

Program

▶

78.5%

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

▶

78.3%

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize223.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 M D)
✓	cost-diff	0	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	cost-diff	0	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
✓	cost-diff	0	(/.f64 (/.f64 M #s(literal 2 binary64)) d)
✓	cost-diff	0	(*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d))
✓	cost-diff	0	(pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))
✓	accuracy	98.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	accuracy	94.9%	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	accuracy	87.5%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
✓	accuracy	84.9%	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
✓	accuracy	98.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	accuracy	91.2%	(*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d))
✓	accuracy	87.5%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))))
✓	accuracy	84.9%	(.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))

Rules

840×	`distribute-lft-neg-in`
840×	`distribute-rgt-neg-in`
799×	`fma-define`
585×	`associate-/l/`
483×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	740
1	73	740
2	185	740
3	1042	740
4	3590	740
5	7350	740

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))
(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)
d
(/.f64 h l)
h
l
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l) #s(literal -1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (fma.f64 (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))
(fma.f64 (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))
(neg.f64 (fma.f64 (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))
(.f64 (pow.f64 (.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l))
(.f64 (pow.f64 (/.f64 (.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64))
(pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d))
(.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d))
D
(/.f64 (/.f64 M #s(literal 2 binary64)) d)
(/.f64 M (*.f64 #s(literal 2 binary64) d))
(/.f64 M #s(literal 2 binary64))
M
#s(literal 2 binary64)
d
(/.f64 h l)
h
l
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l) #s(literal -1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (fma.f64 (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))
(fma.f64 (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))
(neg.f64 (fma.f64 (pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(.f64 (pow.f64 (.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) (/.f64 h l))
(.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))
(.f64 (pow.f64 (/.f64 (.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))
(pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d)))
(*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d))
(/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

Results

110.0ms

256×

valid

Compiler

Compiled 199 to 26 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 48.0ms (65.9% of total)

ival-mult: 12.0ms (16.5% of total)

ival-pow: 6.0ms (8.2% of total)

ival-sqrt: 4.0ms (5.5% of total)

ival-sub: 3.0ms (4.1% of total)

const: 1.0ms (1.4% of total)

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

series183.0ms (1.2%)

Counts

12 → 576

Calls

Call 1

Inputs
#<alt (.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))))>
#<alt (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d))>
#<alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))>
#<alt (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))>
#<alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))>
#<alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))>
#<alt (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64))>
#<alt (/.f64 (/.f64 M #s(literal 2 binary64)) d)>
#<alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))>
#<alt (*.f64 M D)>

Outputs
#<alt (.f64 #s(literal 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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)))>
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#<alt (.f64 #s(literal 1/4 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)))>
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#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>
#<alt (*.f64 D M)>

Calls

144 calls:

Time	Variable		Point	Expression
4.0ms	l	@	0	(* (pow (* D (/ (/ M 2) d)) 2) (/ h l))
4.0ms	l	@	0	(* w0 (sqrt (- 1 (* (pow (* D (/ (/ M 2) d)) 2) (/ h l)))))
4.0ms	D	@	0	(* D (/ (/ M 2) d))
3.0ms	l	@	0	(sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))
3.0ms	D	@	inf	(pow (* D (/ (/ M 2) d)) 2)

rewrite741.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`prod-diff`
243×	`log1p-expm1-u`
243×	`expm1-log1p-u`
237×	`add-exp-log`
237×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	526
1	544	526
2	7752	526

Stop Event

1×	node limit

Counts

12 → 434

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l))))
(*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64))
(/.f64 (/.f64 M #s(literal 2 binary64)) d)
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(*.f64 M D)

Outputs
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 h (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 l h))
(/.f64 (.f64 h (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))) l)
(/.f64 (neg.f64 (.f64 h (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 l))
(/.f64 (.f64 (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 l))
(/.f64 (.f64 (neg.f64 h) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 l))
(/.f64 (/.f64 (.f64 h (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) l)
(/.f64 (/.f64 (.f64 h (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 l #s(literal 2 binary64)))) (cbrt.f64 l))
(/.f64 (/.f64 (.f64 h (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 l)) (sqrt.f64 l))
(pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h l))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (/.f64 h l) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (/.f64 h l) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (/.f64 h l) #s(literal 2 binary64)))))))
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (/.f64 h l) (neg.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 h l) (neg.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (/.f64 h l) (neg.f64 (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))
(/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (.f64 D (.f64 M #s(literal 1/2 binary64)))))
(/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 D (neg.f64 M)) (.f64 d #s(literal -2 binary64)))
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M))
(/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))))
(/.f64 (neg.f64 (.f64 D (neg.f64 M))) (neg.f64 (.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 D (.f64 M #s(literal 1/2 binary64)))) (neg.f64 d))
(/.f64 (/.f64 (*.f64 D M) d) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 D M) (sqrt.f64 (.f64 #s(literal 2 binary64) d))) (sqrt.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 D (.f64 M #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 M #s(literal -1/2 binary64)) D) (neg.f64 d))
(/.f64 (/.f64 (.f64 D M) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) d))
(/.f64 (/.f64 (.f64 D M) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64)) d)
(/.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 d))
(/.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (sqrt.f64 d)) (sqrt.f64 d))
(pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -1 binary64))
(neg.f64 (/.f64 (.f64 D M) (.f64 d #s(literal -2 binary64))))
(neg.f64 (/.f64 (.f64 D (neg.f64 M)) (.f64 #s(literal 2 binary64) d)))
(sqrt.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 D (*.f64 (/.f64 d M) #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 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 D #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 M d)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 M d)) #s(literal 3 binary64)) (pow.f64 D #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) w0))) #s(literal 1 binary64))
(pow.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) w0) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) w0)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) w0) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) w0)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 w0 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 w0) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) w0))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) w0) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 w0 #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 w0 #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) w0)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))) w0)))
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(.f64 #s(literal 1 binary64) (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 M d)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 M d)) #s(literal 2 binary64)) (pow.f64 D #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 D d) (/.f64 D d)))
(.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1/2 binary64) d)))
(.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64)))
(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) (.f64 D (/.f64 #s(literal 1/2 binary64) d))))
(.f64 (sqrt.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d)))
(.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 M d))) D)
(.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) M) (.f64 D (/.f64 #s(literal 1/2 binary64) d)))
(.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) (.f64 M #s(literal 1/2 binary64))) (/.f64 D d))
(.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) (.f64 D M)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))))
(/.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))))
(/.f64 (.f64 D M) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 D M) (.f64 (.f64 #s(literal 2 binary64) d) (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))))
(/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (pow.f64 d #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 D (neg.f64 M)) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) d))
(/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (neg.f64 M))) (.f64 (.f64 d #s(literal -2 binary64)) (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 D (*.f64 M #s(literal 1/2 binary64)))) (pow.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 D M) (.f64 D (neg.f64 M))) (.f64 (.f64 #s(literal 2 binary64) d) (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 D M) (.f64 D (.f64 M #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) d) d))
(/.f64 (.f64 (.f64 D (neg.f64 M)) #s(literal 1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))))
(/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D M)) (.f64 (.f64 d #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M #s(literal 1/2 binary64)))) (.f64 (.f64 d #s(literal -2 binary64)) d))
(/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 d (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))))
(/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 D (neg.f64 M))) (.f64 d (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) (.f64 D M)) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) (.f64 D (.f64 M #s(literal 1/2 binary64)))) d)
(/.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) (.f64 D (neg.f64 M))) (.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))) d)
(/.f64 (.f64 (.f64 D M) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 D (neg.f64 M)) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))) (.f64 d #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 D M))) #s(literal 1 binary64))
(pow.f64 (*.f64 D M) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 D M)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 D M)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 D) M))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 D M))))
(cbrt.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 D #s(literal 3 binary64)) (pow.f64 M #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 D #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 D M)))
(log1p.f64 (expm1.f64 (*.f64 D M)))
(exp.f64 (log.f64 (*.f64 D M)))
(exp.f64 (.f64 (log.f64 (.f64 D M)) #s(literal 1 binary64)))

simplify645.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

805×	`associate-*l/`
586×	`fma-define`
474×	`*-commutative`
265×	`distribute-rgt-in`
265×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1227	75036
1	3786	70412

Stop Event

1×	node limit

Counts

1010 → 600

Calls

Call 1

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

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

eval97.0ms (0.6%)

Compiler: Compiled 21264 to 3711 computations (82.5% saved)

prune124.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	589	11	600
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	590	12	602

Accuracy

87.7%

Counts

602 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 h w0)) (.f64 (pow.f64 d #s(literal 2 binary64)) l)) w0)
	54.4%	(+.f64 w0 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0)) (pow.f64 d #s(literal 2 binary64))) l))))
✓	78.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
▶	83.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h))))
	75.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) d)) (/.f64 h l)))))
▶	77.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l)))))
▶	76.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l)))))
	76.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))))
	55.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 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))))))
▶	51.4%	(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))) (pow.f64 w0 #s(literal 2 binary64))))
	80.9%	(expm1.f64 (log1p.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)))))))
▶	65.4%	w0

Compiler

Compiled 592 to 407 computations (31.3% saved)

localize436.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
✓	cost-diff	0	(pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)
✓	cost-diff	0	(.f64 h (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))
✓	cost-diff	0	(/.f64 d D)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) M)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
✓	cost-diff	128	(.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))
✓	cost-diff	0	(/.f64 d M)
✓	cost-diff	0	(*.f64 (/.f64 d M) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D)
✓	cost-diff	0	(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
✓	cost-diff	0	(pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)
✓	cost-diff	0	(.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h)
✓	accuracy	94.6%	(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
✓	accuracy	94.4%	(.f64 h (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))
✓	accuracy	91.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))) (pow.f64 w0 #s(literal 2 binary64)))
✓	accuracy	63.0%	(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))) (pow.f64 w0 #s(literal 2 binary64))))
✓	accuracy	98.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l)))))
✓	accuracy	95.7%	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
✓	accuracy	87.5%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l))))
✓	accuracy	84.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l))
✓	accuracy	94.3%	(.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d)))
✓	accuracy	89.7%	(/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))
✓	accuracy	87.5%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (*.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l))))
✓	accuracy	84.9%	(.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (*.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l))
✓	accuracy	95.4%	(/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)
✓	accuracy	94.6%	(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
✓	accuracy	94.4%	(.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h)
✓	accuracy	87.5%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h)))

Rules

662×	`distribute-rgt-neg-in`
649×	`distribute-lft-neg-in`
604×	`fma-define`
498×	`associate-/r/`
405×	`distribute-neg-frac2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	1717
1	135	1717
2	480	1711
3	3174	1711
4	7098	1711

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h)))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h))
#s(literal 1 binary64)
(.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h)
(/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)
(pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
D
d
#s(literal 2 binary64)
M
l
h
w0
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (*.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (*.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (*.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l))
(.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d)))
(.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D)
(/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))
D
(*.f64 (/.f64 d M) #s(literal 2 binary64))
(/.f64 d M)
d
M
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 M d))
#s(literal 1/2 binary64)
(/.f64 M d)
(/.f64 h l)
h
l
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
(/.f64 #s(literal 2 binary64) M)
#s(literal 2 binary64)
M
(/.f64 d D)
d
D
(/.f64 h l)
h
l
(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))) (pow.f64 w0 #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))) (pow.f64 w0 #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)))
#s(literal 1 binary64)
(.f64 h (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))
h
(/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)
(pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
D
d
#s(literal 2 binary64)
M
l
(pow.f64 w0 #s(literal 2 binary64))
w0

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) l) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M (.f64 d #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) l) h)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l))))
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D
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(.f64 D (/.f64 M (.f64 d #s(literal 2 binary64))))
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D
(*.f64 (/.f64 d M) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 d M))
(/.f64 (*.f64 d #s(literal 2 binary64)) M)
(*.f64 d (/.f64 #s(literal 2 binary64) M))
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d
M
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#s(literal 1/2 binary64)
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h
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(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M (.f64 d #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 h l)))))
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w0
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(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) l) h))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)))
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(fma.f64 (pow.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))
#s(literal 1 binary64)
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(.f64 (/.f64 (pow.f64 (.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) l) h)
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(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))))
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(/.f64 #s(literal 2 binary64) M)
#s(literal 2 binary64)
M
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d
D
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h
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(.f64 (/.f64 (pow.f64 (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) l) h)
h
(/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)
(/.f64 (pow.f64 (.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) l)
(/.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) l)
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(/.f64 (pow.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) l)
(pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 D (/.f64 M (.f64 d #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
(.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) M)
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(.f64 D (/.f64 M (.f64 d #s(literal 2 binary64))))
(.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D (*.f64 #s(literal 2 binary64) d))
(/.f64 D (*.f64 d #s(literal 2 binary64)))
(/.f64 D d)
D
d
#s(literal 2 binary64)
M
l
(pow.f64 w0 #s(literal 2 binary64))
w0

Results

271.0ms

256×

valid

Compiler

Compiled 521 to 45 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 70.0ms (58.8% of total)

ival-div: 17.0ms (14.3% of total)

ival-sqrt: 16.0ms (13.4% of total)

ival-pow: 8.0ms (6.7% of total)

ival-sub: 7.0ms (5.9% of total)

const: 1.0ms (0.8% of total)

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

series159.0ms (1%)

Counts

22 → 960

Calls

Call 1

Inputs
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h)))>
#<alt (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h)>
#<alt (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)>
#<alt (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)>
#<alt (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (*.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (*.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l))))>
#<alt (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))>
#<alt (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d)))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l))))>
#<alt (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))>
#<alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l)))))>
#<alt (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))) (pow.f64 w0 #s(literal 2 binary64))))>
#<alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))) (pow.f64 w0 #s(literal 2 binary64)))>
#<alt (.f64 h (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))>
#<alt (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))>
#<alt (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D)>
#<alt (*.f64 (/.f64 d M) #s(literal 2 binary64))>
#<alt (/.f64 d M)>
#<alt (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))>
#<alt (/.f64 #s(literal 2 binary64) M)>
#<alt (/.f64 d D)>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.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 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.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 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))>
#<alt (.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))>
#<alt (.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))>
#<alt (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))>
#<alt (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))))>
#<alt (.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l)))) d)>
#<alt (/.f64 (+.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h))))))) d)>
#<alt (/.f64 (+.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))))))))) d)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.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 binary64) (+.f64 (.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 -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.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 (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.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 binary64) (+.f64 (.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 -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.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 (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.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 binary64) (.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))>
#<alt (.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))>
#<alt (.f64 M (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 D (.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))>
#<alt (.f64 M (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 D (.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))>
#<alt (.f64 M (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 5 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 D (.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 M (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 D (.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 M (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 D (.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 M (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 5 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 D (.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))))>
#<alt (.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))>
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#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))>

Calls

255 calls:

Time	Variable		Point	Expression
8.0ms	D	@	0	(/ (pow (* (/ (/ D d) 2) M) 2) l)
2.0ms	w0	@	-inf	(sqrt (* (- 1 (* h (/ (pow (* (/ (/ D d) 2) M) 2) l))) (pow w0 2)))
2.0ms	d	@	0	(sqrt (- 1 (* (/ (pow (* (/ (/ D d) 2) M) 2) l) h)))
2.0ms	d	@	0	(* (* (/ 2 M) (/ d D)) (* (/ 2 M) (/ d D)))
2.0ms	D	@	-inf	(* w0 (sqrt (- 1 (* (/ 1 (* (* (/ 2 M) (/ d D)) (* (/ 2 M) (/ d D)))) (/ h l)))))

rewrite196.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

395×	`log1p-expm1-u`
395×	`expm1-log1p-u`
388×	`add-exp-log`
388×	`add-cube-cbrt`
385×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	1017
1	942	999

Stop Event

1×	node limit

Counts

22 → 363

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h)))
(.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h)
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
(/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)
(.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (*.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (*.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l))))
(/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l))))
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l)))))
(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))) (pow.f64 w0 #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))) (pow.f64 w0 #s(literal 2 binary64)))
(.f64 h (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))
(pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D)
(*.f64 (/.f64 d M) #s(literal 2 binary64))
(/.f64 d M)
(.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))
(/.f64 #s(literal 2 binary64) M)
(/.f64 d D)

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

simplify851.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

870×	`times-frac`
616×	`fma-define`
502×	`associate-*r/`
431×	`*-commutative`
281×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1351	100865
1	3591	97355

Stop Event

1×	node limit

Counts

1323 → 697

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.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 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))
(.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))
(.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))
(.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))
(.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l))))
(.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))
(.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))
(.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))))
(.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l)))) d)
(/.f64 (+.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h))))))) d)
(/.f64 (+.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))))))))) d)
#s(literal 1 binary64)
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(exp.f64 (log.f64 (/.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 d M)))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 d M)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 d M)))) #s(literal 1 binary64))
(/.f64 (*.f64 d #s(literal 2 binary64)) M)
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 d M)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 d M))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 d M)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 d M))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (/.f64 d M)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 d M)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 d M)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 d M))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 d M))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 d M))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (/.f64 d M))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 d M))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 d M))
(*.f64 d (/.f64 #s(literal 1 binary64) M))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 d M)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 d M)))
(*.f64 (sqrt.f64 (/.f64 d M)) (sqrt.f64 (/.f64 d M)))
(pow.f64 (/.f64 d M) #s(literal 1 binary64))
(pow.f64 (/.f64 M d) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 d M)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 d M) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 d M)) #s(literal 2 binary64))
(log.f64 (exp.f64 (/.f64 d M)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 d M))))
(cbrt.f64 (pow.f64 (/.f64 d M) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 M #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 d M)))
(log1p.f64 (expm1.f64 (/.f64 d M)))
(exp.f64 (log.f64 (/.f64 d M)))
(exp.f64 (*.f64 (log.f64 (/.f64 d M)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 2 binary64))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) M))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) M))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) M))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) M)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) M)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) M)) (sqrt.f64 (/.f64 #s(literal 2 binary64) M)))
(pow.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) M)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) M)) #s(literal 2 binary64))
(pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) M)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) M))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) M)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) M)))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) M)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) M)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 d D))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 d D))
(*.f64 d (/.f64 #s(literal 1 binary64) D))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 d D) #s(literal 2 binary64))) (cbrt.f64 (/.f64 d D)))
(*.f64 (sqrt.f64 (/.f64 d D)) (sqrt.f64 (/.f64 d D)))
(pow.f64 (/.f64 D d) #s(literal -1 binary64))
(pow.f64 (/.f64 d D) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 d D)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 d D)) #s(literal 2 binary64))
(log.f64 (exp.f64 (/.f64 d D)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 d D))))
(cbrt.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 D #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 d D)))
(log1p.f64 (expm1.f64 (/.f64 d D)))
(exp.f64 (log.f64 (/.f64 d D)))
(exp.f64 (*.f64 (log.f64 (/.f64 d D)) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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 binary64) (.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 d #s(literal 2 binary64))) (/.f64 h l)))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l)) (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (/.f64 (pow.f64 h #s(literal 2 binary64)) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))))
(fma.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (/.f64 (pow.f64 h #s(literal 2 binary64)) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64)))))) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.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 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l)) (.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 M #s(literal 4 binary64)) (/.f64 (pow.f64 h #s(literal 2 binary64)) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64)))))))))))
(fma.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 M #s(literal 4 binary64)) (/.f64 (pow.f64 h #s(literal 2 binary64)) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (/.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))))) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))
(/.f64 (.f64 D (.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l)))) d)
(.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))
(.f64 D (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))))
(.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))
(.f64 D (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))))))
(.f64 D (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (pow.f64 M #s(literal 3 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))))))
(.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))
(.f64 D (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 D #s(literal 6 binary64))) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))))))
(.f64 D (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (pow.f64 M #s(literal 3 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 D #s(literal 6 binary64))) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l))))
(neg.f64 (/.f64 (.f64 D (.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l)))) d))
(.f64 (.f64 D (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))) (neg.f64 (sqrt.f64 (/.f64 h l))))
(.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))
(neg.f64 (.f64 D (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))) (neg.f64 D))
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eval190.0ms (1.2%)

Compiler: Compiled 27826 to 4711 computations (83.1% saved)

prune163.0ms (1.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	814	12	826
Fresh	3	3	6
Picked	3	2	5
Done	1	0	1
Total	821	17	838

Accuracy

87.9%

Counts

838 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l) w0)
	62.8%	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 h w0)) (.f64 (pow.f64 d #s(literal 2 binary64)) l)) w0)
	82.2%	(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l))) w0)) #s(literal 2 binary64))
▶	69.6%	(.f64 w0 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64)))
	83.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) h) l))))
	36.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) #s(literal 2 binary64)) h))))
▶	83.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h))))
	75.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) d)) (/.f64 h l)))))
✓	77.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l)))))
▶	72.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))))
	76.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 #s(literal 1 binary64) (/.f64 M d)) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l)))))
▶	76.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))))
▶	45.1%	(sqrt.f64 (pow.f64 w0 #s(literal 2 binary64)))
	51.4%	(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))) (pow.f64 w0 #s(literal 2 binary64))))
	36.5%	(sqrt.f64 (.f64 h (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 w0 #s(literal 2 binary64))) l)) (/.f64 (pow.f64 w0 #s(literal 2 binary64)) h))))
	17.3%	(sqrt.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h (pow.f64 w0 #s(literal 2 binary64)))) l))))
✓	65.4%	w0

Compiler

Compiled 833 to 566 computations (32.1% saved)

localize309.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 D d)
✓	cost-diff	0	(pow.f64 (/.f64 D d) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
✓	cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))
✓	cost-diff	0	(pow.f64 (/.f64 D d) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
✓	cost-diff	0	(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 w0 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64)))
✓	cost-diff	0	(pow.f64 w0 #s(literal 2 binary64))
✓	cost-diff	6464	(sqrt.f64 (pow.f64 w0 #s(literal 2 binary64)))
	cost-diff	0	(/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) d)
✓	cost-diff	0	(*.f64 D M)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))
✓	cost-diff	-12416	(.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h)
✓	cost-diff	0	(/.f64 D d)
✓	cost-diff	0	(*.f64 (/.f64 D d) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)
✓	accuracy	88.6%	(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)
✓	accuracy	87.5%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))))
✓	accuracy	85.2%	(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
✓	accuracy	80.8%	(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
✓	accuracy	95.5%	(.f64 w0 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64)))
✓	accuracy	88.6%	(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)
✓	accuracy	85.2%	(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
✓	accuracy	80.8%	(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
✓	accuracy	100.0%	(pow.f64 w0 #s(literal 2 binary64))
✓	accuracy	52.8%	(sqrt.f64 (pow.f64 w0 #s(literal 2 binary64)))
✓	accuracy	95.3%	(.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))))
	accuracy	89.7%	(/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))
✓	accuracy	87.5%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))))
✓	accuracy	84.9%	(.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))
✓	accuracy	95.4%	(/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)
✓	accuracy	94.6%	(.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)
✓	accuracy	94.4%	(.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h)
✓	accuracy	87.5%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h)))

Rules

909×	`distribute-lft-neg-in`
909×	`distribute-rgt-neg-in`
790×	`fma-define`
508×	`cancel-sign-sub-inv`
469×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	1946
1	131	1670
2	481	1628
3	3235	1628
4	7383	1628

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h)))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h))
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h)
(/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)
(.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))
(.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)
(*.f64 (/.f64 D d) #s(literal 1/2 binary64))
(/.f64 D d)
D
d
#s(literal 1/2 binary64)
M
l
h
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))
(.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))))
(*.f64 D M)
D
M
(.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
(/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))
(*.f64 (/.f64 d M) #s(literal 2 binary64))
(/.f64 d M)
#s(literal 2 binary64)
(/.f64 h l)
h
l
(sqrt.f64 (pow.f64 w0 #s(literal 2 binary64)))
(pow.f64 w0 #s(literal 2 binary64))
w0
#s(literal 2 binary64)
(.f64 w0 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64)))
w0
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
D
d
#s(literal 2 binary64)
(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)
(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
(pow.f64 M #s(literal 2 binary64))
M
h
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
D
d
#s(literal 2 binary64)
(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)
(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
(pow.f64 M #s(literal 2 binary64))
M
h
l
#s(literal 1/4 binary64)

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 h (pow.f64 M #s(literal 2 binary64)))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (*.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 h (pow.f64 M #s(literal 2 binary64)))) l)))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 h (pow.f64 M #s(literal 2 binary64)))) l))
(fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h)
(.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h)
(/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 h (pow.f64 M #s(literal 2 binary64)))) l)
(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) l))) h)
(/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)
(/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l)
(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 M #s(literal 2 binary64)) l))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) l)))
(.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))
(.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64)))
(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)
(.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))
(.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(.f64 D (/.f64 (.f64 #s(literal 1/2 binary64) M) d))
(*.f64 D (/.f64 #s(literal 1/2 binary64) (/.f64 d M)))
(*.f64 (/.f64 D d) #s(literal 1/2 binary64))
(*.f64 D (/.f64 #s(literal 1/2 binary64) d))
(/.f64 D d)
D
d
#s(literal 1/2 binary64)
M
l
h
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 h (pow.f64 M #s(literal 2 binary64)))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (*.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 h (pow.f64 M #s(literal 2 binary64)))) l)))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 h (pow.f64 M #s(literal 2 binary64)))) l))
(fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))
(.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h)
(/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 h (pow.f64 M #s(literal 2 binary64)))) l)
(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) l))) h)
(.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64)))
(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 D M)
D
M
(.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 D (/.f64 d M))) d)
(*.f64 D (/.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 d M)))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
(/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))
(.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) M)
(/.f64 D (*.f64 d (/.f64 #s(literal 2 binary64) M)))
(*.f64 (/.f64 d M) #s(literal 2 binary64))
(*.f64 d (/.f64 #s(literal 2 binary64) M))
(/.f64 d M)
#s(literal 2 binary64)
(/.f64 h l)
h
l
(sqrt.f64 (pow.f64 w0 #s(literal 2 binary64)))
(fabs.f64 w0)
(pow.f64 w0 #s(literal 2 binary64))
w0
#s(literal 2 binary64)
(.f64 w0 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 h (pow.f64 M #s(literal 2 binary64))) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l))) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 #s(literal -1/8 binary64) (.f64 h (*.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))) #s(literal 1 binary64)))
w0
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) l)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) l))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)))
(.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
D
d
#s(literal 2 binary64)
(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)
(/.f64 (*.f64 h (pow.f64 M #s(literal 2 binary64))) l)
(*.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l))
(*.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
h
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 h (pow.f64 M #s(literal 2 binary64)))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (*.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 h (pow.f64 M #s(literal 2 binary64)))) l)))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 h (pow.f64 M #s(literal 2 binary64)))) l))
(fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (pow.f64 M #s(literal 2 binary64))) l) h)
(/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 h (pow.f64 M #s(literal 2 binary64)))) l)
(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) l))) h)
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 h (pow.f64 M #s(literal 2 binary64))) l))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)))
(.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
D
d
#s(literal 2 binary64)
(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)
(/.f64 (*.f64 h (pow.f64 M #s(literal 2 binary64))) l)
(*.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l))
(*.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
h
l
#s(literal 1/4 binary64)

Results

131.0ms

256×

valid

Compiler

Compiled 496 to 46 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

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

ival-div: 13.0ms (21.5% of total)

ival-pow: 8.0ms (13.2% of total)

ival-sqrt: 7.0ms (11.6% of total)

ival-sub: 4.0ms (6.6% of total)

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

const: 1.0ms (1.7% of total)

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

series123.0ms (0.8%)

Counts

22 → 768

Calls

Call 1

Inputs
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h)))>
#<alt (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h)>
#<alt (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)>
#<alt (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)>
#<alt (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))))>
#<alt (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (pow.f64 w0 #s(literal 2 binary64)))>
#<alt (pow.f64 w0 #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l))>
#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) h)>
#<alt (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)>
#<alt (.f64 w0 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))))>
#<alt (*.f64 (/.f64 D d) #s(literal 1/2 binary64))>
#<alt (/.f64 D d)>
#<alt (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))>
#<alt (*.f64 D M)>
#<alt (/.f64 #s(literal 1/2 binary64) d)>
#<alt (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64))>
#<alt (pow.f64 (/.f64 D d) #s(literal 2 binary64))>
#<alt (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.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 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.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 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))>
#<alt (.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))>
#<alt (.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))>
#<alt (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))>
#<alt (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l))))>
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#<alt (.f64 #s(literal 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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)))>

Calls

225 calls:

Time	Variable		Point	Expression
15.0ms	D	@	0	(pow (/ D d) 2)
3.0ms	l	@	inf	(sqrt (- 1 (* (/ (* (* (* (/ D d) 1/2) M) (* (* (/ D d) 1/2) M)) l) h)))
2.0ms	w0	@	0	(* w0 (+ (* -1/8 (* (pow (/ D d) 2) (/ (* (pow M 2) h) l))) 1))
2.0ms	M	@	-inf	(sqrt (- 1 (* (* (* D M) (* (/ 1/2 d) (/ D (* (/ d M) 2)))) (/ h l))))
1.0ms	M	@	0	(* (/ 1/2 d) (/ D (* (/ d M) 2)))

rewrite195.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

382×	`log1p-expm1-u`
382×	`expm1-log1p-u`
376×	`add-exp-log`
376×	`add-cube-cbrt`
373×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	899
1	866	889

Stop Event

1×	node limit

Counts

22 → 359

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h)))
(.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h)
(.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)
(/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)
(.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))))
(.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 w0 #s(literal 2 binary64)))
(pow.f64 w0 #s(literal 2 binary64))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)
(.f64 w0 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 D d) #s(literal 1/2 binary64))
(/.f64 D d)
(.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))
(*.f64 D M)
(/.f64 #s(literal 1/2 binary64) d)
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))))
(.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))))
(exp.f64 (.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)
(pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) (sqrt.f64 l)) (sqrt.f64 h)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 h) (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))
(exp.f64 (log.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) h) l)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)))) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))))
(exp.f64 (log.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l))
(.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l))
(.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) l))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)))
(.f64 (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (sqrt.f64 l)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) (sqrt.f64 l)))
(pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (sqrt.f64 l)) #s(literal 2 binary64))
(pow.f64 (/.f64 l (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64))) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 D M) (.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 (/.f64 d M) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 D (.f64 M (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 (/.f64 d M) #s(literal 2 binary64))))) h) l)
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(log.f64 (exp.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (/.f64 D d) (/.f64 D d))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 D d) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 D d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 3 binary64)) (pow.f64 (/.f64 D d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 D d))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 D d))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64)))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify903.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

446×	`times-frac`
378×	`associate-/r*`
376×	`fma-define`
336×	`associate-/l*`
316×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1148	76319
1	2674	70365
2	7579	70365

Stop Event

1×	node limit

Counts

1127 → 633

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.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 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))
(.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))
(.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))
(.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))
(.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l))))
(.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))
(.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))
(.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))))
(.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l)))) d)
(/.f64 (+.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h))))))) d)
(/.f64 (+.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))))))))) d)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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 binary64) (+.f64 (.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 -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.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 (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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 binary64) (+.f64 (.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 -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.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 (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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 binary64) (.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))
(.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))
(.f64 M (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 D (.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))
(.f64 M (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 D (.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))
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(exp.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (/.f64 D d) (/.f64 D d))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 D d) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 D d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 3 binary64)) (pow.f64 (/.f64 D d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 D d))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 D d))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64)))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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 binary64) (.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 d #s(literal 2 binary64))) (/.f64 h l)))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l)) (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64)))))))))
(fma.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 h l)) #s(literal 2 binary64)) (/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.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 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l)) (.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64)))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))
(fma.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/1024 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (/.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))
(.f64 (.f64 D (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))) (sqrt.f64 (/.f64 h l)))
(.f64 D (.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) d)))
(.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))
(.f64 D (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))))
(.f64 D (fma.f64 (sqrt.f64 (/.f64 h l)) (.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))))
(.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))
(.f64 D (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))))))
(.f64 D (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (pow.f64 M #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 (/.f64 h l)) (.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h))))))
(.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))
(.f64 D (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))))))
(.f64 D (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (pow.f64 M #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 d #s(literal 5 binary64)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 h l)) (.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l))))
(neg.f64 (.f64 (.f64 D (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))) (sqrt.f64 (/.f64 h l))))
(.f64 (.f64 D (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))) (neg.f64 (sqrt.f64 (/.f64 h l))))
(.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))
(neg.f64 (.f64 D (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) (.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (neg.f64 D))
(.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))
(neg.f64 (.f64 D (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h))) (.f64 (sqrt.f64 (/.f64 h l)) (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (pow.f64 M #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 (/.f64 h l)) (.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d (pow.f64 D #s(literal 2 binary64))) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h))))) (neg.f64 D))
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(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 D d) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 D d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 D d)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 D d) #s(literal 4 binary64))))
(*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 2 binary64)))
(/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)))))
(/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 3 binary64)) (pow.f64 (/.f64 D d) #s(literal 3 binary64))))
(/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 D d))))
(/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 D d))) #s(literal 1 binary64)))
(/.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))) #s(literal 3 binary64))
(.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))
(.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (*.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (/.f64 h l))))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))

eval116.0ms (0.8%)

Compiler: Compiled 23441 to 4439 computations (81.1% saved)

prune169.0ms (1.1%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	825	12	837
Fresh	5	5	10
Picked	4	1	5
Done	0	2	2
Total	834	20	854

Accuracy

88.2%

Counts

854 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l) w0)
	35.4%	(pow.f64 (pow.f64 w0 #s(literal 3 binary64)) #s(literal 1/3 binary64))
	82.2%	(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l))) w0)) #s(literal 2 binary64))
	64.9%	(pow.f64 (sqrt.f64 w0) #s(literal 2 binary64))
▶	64.0%	(pow.f64 (cbrt.f64 w0) #s(literal 3 binary64))
	53.8%	(.f64 (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 w0 (pow.f64 d #s(literal 2 binary64))))) (/.f64 w0 h)) (neg.f64 h))
✓	83.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h))))
	75.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) d)) (/.f64 h l)))))
✓	77.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l)))))
	40.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 M (sqrt.f64 h)) #s(literal 2 binary64)) l)) #s(literal 1/4 binary64)))))
▶	72.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))))
▶	85.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))
	75.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 D (.f64 M (.f64 (/.f64 h l) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d M)) (/.f64 D #s(literal 2 binary64)))))))))
	16.1%	(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 (.f64 w0 (/.f64 h l)) (pow.f64 d #s(literal 2 binary64)))))
	51.4%	(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))) (pow.f64 w0 #s(literal 2 binary64))))
▶	45.1%	(sqrt.f64 (*.f64 w0 w0))
	17.3%	(sqrt.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h (pow.f64 w0 #s(literal 2 binary64)))) l))))
	42.7%	(exp.f64 (*.f64 (log.f64 (pow.f64 w0 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	59.8%	(exp.f64 (log.f64 w0))
✓	65.4%	w0

Compiler

Compiled 805 to 565 computations (29.8% saved)

localize244.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(pow.f64 (/.f64 D d) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)))
✓	cost-diff	0	(/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l)
✓	cost-diff	0	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l) w0)
✓	cost-diff	0	(pow.f64 M #s(literal 2 binary64))
	cost-diff	0	(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
	cost-diff	0	(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)
	cost-diff	0	(/.f64 D d)
✓	cost-diff	0	(cbrt.f64 w0)
✓	cost-diff	12864	(pow.f64 (cbrt.f64 w0) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 w0 w0)
✓	cost-diff	128	(sqrt.f64 (*.f64 w0 w0))
✓	cost-diff	0	(/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) M)
	cost-diff	0	(/.f64 D d)
✓	cost-diff	0	(.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))
	accuracy	99.7%	(pow.f64 (/.f64 D d) #s(literal 2 binary64))
✓	accuracy	92.8%	(/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l)
✓	accuracy	84.9%	(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))
✓	accuracy	76.2%	(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)))
	accuracy	88.6%	(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)
✓	accuracy	87.5%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))))
	accuracy	85.2%	(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
✓	accuracy	80.8%	(.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
✓	accuracy	99.0%	(cbrt.f64 w0)
✓	accuracy	98.8%	(pow.f64 (cbrt.f64 w0) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 w0 w0)
✓	accuracy	52.8%	(sqrt.f64 (*.f64 w0 w0))
✓	accuracy	94.6%	(.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))
✓	accuracy	94.4%	(.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h)
✓	accuracy	93.5%	(/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)
✓	accuracy	87.5%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h)))

Rules

917×	`distribute-lft-neg-in`
917×	`distribute-rgt-neg-in`
589×	`fma-define`
447×	`associate-r`
409×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	1390
1	116	1282
2	451	1177
3	2609	1177
4	5287	1177

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h)
(.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l))
(.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))
(/.f64 D d)
D
d
(*.f64 #s(literal 1/2 binary64) M)
#s(literal 1/2 binary64)
M
(/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)
l
h
(sqrt.f64 (*.f64 w0 w0))
(*.f64 w0 w0)
w0
(pow.f64 (cbrt.f64 w0) #s(literal 3 binary64))
(cbrt.f64 w0)
w0
#s(literal 3 binary64)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))
(.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
(*.f64 (/.f64 D d) (/.f64 D d))
(/.f64 D d)
D
d
(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)
(*.f64 (pow.f64 M #s(literal 2 binary64)) h)
(pow.f64 M #s(literal 2 binary64))
M
#s(literal 2 binary64)
h
l
#s(literal 1/4 binary64)
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l) w0)
#s(literal -1/8 binary64)
(/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l)
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
D
d
#s(literal 2 binary64)
(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))
(pow.f64 M #s(literal 2 binary64))
M
(*.f64 h w0)
h
w0
l

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal 1/2 binary64) M) l)))) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 #s(literal 1/2 binary64) M))) l) h))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (*.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 h (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)))) h)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (*.f64 #s(literal 1/2 binary64) M))) l) h)))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 h (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) l))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)))) h))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (*.f64 #s(literal 1/2 binary64) M))) l) h))
(fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 h (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) l))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h)
(.f64 (.f64 (/.f64 D d) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)))) h)
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (*.f64 #s(literal 1/2 binary64) M))) l) h)
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 (*.f64 h #s(literal 1/4 binary64)) l)))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 h l))))
(.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l))
(.f64 (/.f64 D d) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal 1/2 binary64) M) l))))
(/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 #s(literal 1/2 binary64) M))) l)
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal 1/4 binary64)) l))
(.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))
(.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 M d))
(/.f64 D d)
D
d
(*.f64 #s(literal 1/2 binary64) M)
#s(literal 1/2 binary64)
M
(/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)
(.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l))
(.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) (/.f64 M l)))
(.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 M d)))
l
h
(sqrt.f64 (*.f64 w0 w0))
(fabs.f64 w0)
(*.f64 w0 w0)
w0
(pow.f64 (cbrt.f64 w0) #s(literal 3 binary64))
w0
(cbrt.f64 w0)
w0
#s(literal 3 binary64)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal 1/2 binary64) M) l)))) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 #s(literal 1/2 binary64) M))) l) h))))
(.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (*.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 h (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)))) h)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (*.f64 #s(literal 1/2 binary64) M))) l) h)))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 h (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) l))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)))) h))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (*.f64 #s(literal 1/2 binary64) M))) l) h))
(fma.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 h (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) l))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))
(.f64 (.f64 (/.f64 D d) (.f64 (.f64 #s(literal 1/2 binary64) M) (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)))) h)
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (*.f64 #s(literal 1/2 binary64) M))) l) h)
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 (*.f64 h #s(literal 1/4 binary64)) l)))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 h l))))
(.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
(.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 h l)) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))
(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(.f64 h (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) l) (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(*.f64 (/.f64 D d) (/.f64 D d))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
D
d
(/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)
(*.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 h l))
(*.f64 h (/.f64 (pow.f64 M #s(literal 2 binary64)) l))
(*.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
#s(literal 2 binary64)
h
l
#s(literal 1/4 binary64)
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l) w0)
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 w0 h)) l)) w0)
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 (*.f64 w0 h) l))) w0)
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 w0 h) l))) w0)
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 (*.f64 w0 (/.f64 h l)) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))) w0)
#s(literal -1/8 binary64)
(/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l)
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 w0 h)) l))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (/.f64 (*.f64 w0 h) l)))
(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 w0 h) l)))
(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 (*.f64 w0 (/.f64 h l)) (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 w0 h)))
(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 (*.f64 w0 h) (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(.f64 w0 (.f64 (*.f64 h (pow.f64 M #s(literal 2 binary64))) (pow.f64 (/.f64 D d) #s(literal 2 binary64))))
(pow.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
D
d
#s(literal 2 binary64)
(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))
(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 w0 h))
(.f64 h (.f64 (pow.f64 M #s(literal 2 binary64)) w0))
(.f64 h (.f64 w0 (pow.f64 M #s(literal 2 binary64))))
(pow.f64 M #s(literal 2 binary64))
M
(*.f64 h w0)
(*.f64 w0 h)
h
w0
l

Results

108.0ms

256×

valid

Compiler

Compiled 358 to 41 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 22.0ms (41.8% of total)

ival-pow: 9.0ms (17.1% of total)

ival-div: 8.0ms (15.2% of total)

ival-sqrt: 6.0ms (11.4% of total)

ival-fma: 3.0ms (5.7% of total)

ival-cbrt: 2.0ms (3.8% of total)

ival-sub: 2.0ms (3.8% of total)

const: 1.0ms (1.9% of total)

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

series99.0ms (0.6%)

Counts

16 → 568

Calls

Call 1

Inputs
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h)))>
#<alt (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)>
#<alt (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h)>
#<alt (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))>
#<alt (sqrt.f64 (*.f64 w0 w0))>
#<alt (*.f64 w0 w0)>
#<alt (pow.f64 (cbrt.f64 w0) #s(literal 3 binary64))>
#<alt (cbrt.f64 w0)>
#<alt (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))))>
#<alt (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)))>
#<alt (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))>
#<alt (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l)>
#<alt (*.f64 #s(literal 1/2 binary64) M)>
#<alt (pow.f64 M #s(literal 2 binary64))>
#<alt (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l) w0)>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.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 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.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 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))>
#<alt (.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))>
#<alt (.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))>
#<alt (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))))))>
#<alt (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l))))>
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#<alt (.f64 w0 (+.f64 #s(literal 1 binary64) (.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 w0 (+.f64 #s(literal 1 binary64) (.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 binary64) (.f64 w0 (-.f64 (.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 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 w0 (-.f64 (.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 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 w0 (-.f64 (.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 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 w0 (-.f64 (.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 binary64))))>
#<alt (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))) (pow.f64 d #s(literal 2 binary64)))) (*.f64 l w0)) l)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))) (pow.f64 d #s(literal 2 binary64)))) (*.f64 l w0)) l)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))) (pow.f64 d #s(literal 2 binary64)))) (*.f64 l w0)) l)>
#<alt w0>
#<alt (+.f64 w0 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))>
#<alt (+.f64 w0 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))>
#<alt (+.f64 w0 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))>
#<alt w0>
#<alt (+.f64 w0 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))>
#<alt (+.f64 w0 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))>
#<alt (+.f64 w0 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))>

Calls

159 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(sqrt (- 1 (* (* (* (/ D d) (* 1/2 M)) (/ (* (/ D d) (* 1/2 M)) l)) h)))
3.0ms	w0	@	-inf	(pow (cbrt w0) 3)
3.0ms	D	@	0	(/ (* (pow (/ D d) 2) (* (pow M 2) (* h w0))) l)
3.0ms	D	@	-inf	(* (* (/ D d) (/ D d)) (/ (* (pow M 2) h) l))
2.0ms	M	@	0	(+ (* -1/8 (/ (* (pow (/ D d) 2) (* (pow M 2) (* h w0))) l)) w0)

rewrite153.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`log1p-expm1-u`
301×	`expm1-log1p-u`
296×	`add-exp-log`
295×	`add-cube-cbrt`
292×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	612
1	722	536

Stop Event

1×	node limit

Counts

16 → 354

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h)))
(/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)
(.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h)
(.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))
(sqrt.f64 (*.f64 w0 w0))
(*.f64 w0 w0)
(pow.f64 (cbrt.f64 w0) #s(literal 3 binary64))
(cbrt.f64 w0)
(.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)))
(.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))
(/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l)
(*.f64 #s(literal 1/2 binary64) M)
(pow.f64 M #s(literal 2 binary64))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l) w0)

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))))
(.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)) h))))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)) h)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)) h))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal 1/2 binary64) M) l)))
(.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l))
(.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 #s(literal 1 binary64) l))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal 1/2 binary64) M) l))))
(.f64 (sqrt.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l))) (sqrt.f64 (.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal 1/2 binary64) M) l))))
(.f64 (neg.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M))) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) (cbrt.f64 l)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) (sqrt.f64 l)))
(.f64 (/.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) M) l))
(.f64 (/.f64 (/.f64 D d) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) M) (cbrt.f64 l)))
(.f64 (/.f64 (/.f64 D d) (sqrt.f64 l)) (/.f64 (.f64 #s(literal 1/2 binary64) M) (sqrt.f64 l)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) (sqrt.f64 l)) (/.f64 (/.f64 D d) (sqrt.f64 l)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)) (/.f64 (/.f64 D d) l))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (/.f64 (/.f64 D d) (cbrt.f64 l)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M))) l))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (cbrt.f64 (.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal 1/2 binary64) M) l))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64))) (sqrt.f64 l)) (/.f64 (cbrt.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M))) (sqrt.f64 l)))
(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M))) l))
(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M))) (cbrt.f64 l)))
(.f64 (/.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 M l))
(.f64 (/.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (/.f64 M (cbrt.f64 l)))
(.f64 (/.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (sqrt.f64 l)) (/.f64 M (sqrt.f64 l)))
(pow.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l))) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 d D) (/.f64 l (.f64 #s(literal 1/2 binary64) M))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 D d)) (/.f64 (*.f64 #s(literal 1/2 binary64) M) l)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l))))
(exp.f64 (log.f64 (.f64 (/.f64 D d) (/.f64 (.f64 #s(literal 1/2 binary64) M) l))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal 1/2 binary64) M) l))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) (sqrt.f64 l)) (sqrt.f64 h)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 h) (/.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)))
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(exp.f64 (log.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) l) h)))
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(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 M)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l) w0))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l) w0)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) #s(literal 3 binary64)) (pow.f64 w0 #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l))) (-.f64 (pow.f64 w0 #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l))) (pow.f64 w0 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l)) w0))
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(pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)) #s(literal 2 binary64))
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(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l) w0)) #s(literal 1 binary64)))

simplify546.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

611×	`times-frac`
561×	`associate-/l*`
461×	`associate-/r*`
410×	`associate-*r/`
385×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1122	58140
1	2898	52963

Stop Event

1×	node limit

Counts

922 → 618

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.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 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))
(.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))
(.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))
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(.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l))))
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(.f64 #s(literal -1 binary64) (.f64 D (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))))
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(.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))
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(/.f64 (+.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 3 binary64)) (.f64 (pow.f64 M #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))))))))) d)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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))))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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))))
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(+.f64 #s(literal 1 binary64) (+.f64 (.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 (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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 binary64) (.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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))))
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(log1p.f64 (expm1.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))))
(exp.f64 (log.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l))
(.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)) l))
(.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) (/.f64 #s(literal 1 binary64) l))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l)))
(.f64 (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (.f64 h w0)))) (sqrt.f64 l)) (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (*.f64 h w0)))) (sqrt.f64 l)))
(.f64 (neg.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0))) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) (cbrt.f64 l)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) (sqrt.f64 l)))
(.f64 (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)) (sqrt.f64 l)) (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (sqrt.f64 l)))
(.f64 (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)) l))
(.f64 (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)) (cbrt.f64 l)))
(.f64 (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (sqrt.f64 l)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)) (sqrt.f64 l)))
(.f64 (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) l))
(.f64 (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0)) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (cbrt.f64 l)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0))) l))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0))) #s(literal 2 binary64)) (sqrt.f64 l)) (/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0))) (sqrt.f64 l)))
(.f64 (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (.f64 h w0)))) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (*.f64 h w0)))) l))
(.f64 (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (.f64 h w0)))) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (*.f64 h w0)))) (cbrt.f64 l)))
(.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 h w0) l))
(.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (/.f64 (*.f64 h w0) (cbrt.f64 l)))
(.f64 (/.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (sqrt.f64 l)) (/.f64 (*.f64 h w0) (sqrt.f64 l)))
(pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (*.f64 h w0)))) (sqrt.f64 l)) #s(literal 2 binary64))
(pow.f64 (/.f64 l (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l)))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l)))
(exp.f64 (log.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) M))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) M)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) M)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 M) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) M))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) M)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) M)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) M)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) M)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 M #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 M #s(literal 2 binary64)))
(*.f64 M M)
(*.f64 (cbrt.f64 (pow.f64 M #s(literal 4 binary64))) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 M #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 M #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 M #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 M #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 M #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 M)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 M)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l) w0))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l) w0)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l) w0)) (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) #s(literal 3 binary64)) (pow.f64 w0 #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l))) (-.f64 (pow.f64 w0 #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l))) (pow.f64 w0 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l)) w0))
(pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l) w0)) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.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 binary64) (.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 d #s(literal 2 binary64))) (/.f64 h l)))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) (.f64 (pow.f64 d #s(literal 2 binary64)) l))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l)) (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 h #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))))))))
(fma.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (/.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.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 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 h #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 l #s(literal 2 binary64))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 h l)) (.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 h #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (.f64 #s(literal -1/1024 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64)))))))))))
(fma.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/1024 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (pow.f64 d #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 (pow.f64 M #s(literal 4 binary64)) (/.f64 (pow.f64 h #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (/.f64 h l)))
(.f64 (.f64 D (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))) (sqrt.f64 (/.f64 h l)))
(.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (sqrt.f64 (/.f64 h l)) d))
(.f64 D (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d (.f64 (pow.f64 D #s(literal 2 binary64)) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (/.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l)))))
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(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)) #s(literal 3 binary64))
(+.f64 w0 (.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 d #s(literal 2 binary64))) (.f64 h (/.f64 w0 l))))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0)
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 w0 (.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 d #s(literal 2 binary64))) (.f64 h (/.f64 w0 l))))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0)
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)) #s(literal 2 binary64))
(+.f64 w0 (.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 d #s(literal 2 binary64))) (.f64 h (/.f64 w0 l))))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0)
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(+.f64 w0 (.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 d #s(literal 2 binary64))) (.f64 h (/.f64 w0 l))))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0))))
(+.f64 w0 (.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 d #s(literal 2 binary64))) (.f64 h (/.f64 w0 l))))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0)
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0) #s(literal 3 binary64)))
(+.f64 w0 (.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 d #s(literal 2 binary64))) (.f64 h (/.f64 w0 l))))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0)
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(+.f64 w0 (.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 d #s(literal 2 binary64))) (.f64 h (/.f64 w0 l))))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0)
(exp.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(+.f64 w0 (.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 d #s(literal 2 binary64))) (.f64 h (/.f64 w0 l))))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0)
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l) w0)) #s(literal 1 binary64)))
(+.f64 w0 (.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 d #s(literal 2 binary64))) (.f64 h (/.f64 w0 l))))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 h (/.f64 w0 l))) w0)

eval438.0ms (2.9%)

Compiler: Compiled 23040 to 4520 computations (80.4% saved)

prune282.0ms (1.8%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	832	18	850
Fresh	4	8	12
Picked	4	1	5
Done	1	2	3
Total	841	29	870

Accuracy

88.2%

Counts

870 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) l) w0)
	61.3%	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 D d) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l) w0)
	73.4%	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 h w0) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) l) w0)
	64.5%	(fma.f64 #s(literal -1/8 binary64) (/.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 h w0) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))))) l) w0)
	44.4%	(fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (.f64 h w0)))) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (.f64 (/.f64 D d) (/.f64 (.f64 M (sqrt.f64 (*.f64 h w0))) (cbrt.f64 l)))) w0)
	44.4%	(fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (.f64 h w0)))) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (*.f64 h w0)))) l)) w0)
	42.3%	(pow.f64 (pow.f64 (pow.f64 w0 #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
	58.9%	(pow.f64 (pow.f64 (pow.f64 w0 #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))
	35.4%	(pow.f64 (pow.f64 w0 #s(literal 3 binary64)) #s(literal 1/3 binary64))
	58.9%	(pow.f64 (pow.f64 w0 #s(literal 1/3 binary64)) #s(literal 3 binary64))
	82.2%	(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l))) w0)) #s(literal 2 binary64))
	64.9%	(pow.f64 (sqrt.f64 w0) #s(literal 2 binary64))
	59.0%	(pow.f64 (exp.f64 (*.f64 (log.f64 w0) #s(literal 1/3 binary64))) #s(literal 3 binary64))
	72.3%	(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0)
	53.8%	(.f64 (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 w0 (pow.f64 d #s(literal 2 binary64))))) (/.f64 w0 h)) (neg.f64 h))
✓	83.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h))))
	84.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 D (.f64 #s(literal 1/2 binary64) M)) d) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))
	85.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 d D)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h))))
	72.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)))))
	84.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) l)) h))))
	84.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) l)) d))) h))))
	75.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 D (.f64 M (.f64 (/.f64 h l) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d M)) (/.f64 D #s(literal 2 binary64)))))))))
	18.5%	(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l))))
	51.4%	(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))) (pow.f64 w0 #s(literal 2 binary64))))
✓	45.1%	(sqrt.f64 (*.f64 w0 w0))
	17.3%	(sqrt.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h (pow.f64 w0 #s(literal 2 binary64)))) l))))
	70.1%	(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
	59.8%	(exp.f64 (log.f64 w0))
✓	65.4%	w0

Compiler

Compiled 1646 to 782 computations (52.5% saved)

regimes972.0ms (6.4%)

Counts

55 → 2

Calls

Call 1

Inputs
w0
(sqrt.f64 (*.f64 w0 w0))
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l))))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 D (.f64 M (.f64 (/.f64 h l) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d M)) (/.f64 D #s(literal 2 binary64)))))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) l)) d))) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 d D)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 D (.f64 #s(literal 1/2 binary64) M)) d) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) d)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 #s(literal 1 binary64) (/.f64 M d)) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l)))))
(exp.f64 (log.f64 w0))
(sqrt.f64 (pow.f64 w0 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 w0) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 w0) #s(literal 2 binary64))
(pow.f64 (pow.f64 w0 #s(literal 1/3 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 w0 #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 h w0) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) l) w0)
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 (.f64 w0 (/.f64 h l)) (pow.f64 d #s(literal 2 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) h) l))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) l) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 w0 (pow.f64 d #s(literal 2 binary64))))) (/.f64 w0 h)) (neg.f64 h))
(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))) (pow.f64 w0 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 w0 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 (log.f64 w0) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 w0 #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 w0 #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(.f64 w0 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 h w0)) (.f64 (pow.f64 d #s(literal 2 binary64)) l)) w0)
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l) w0)
(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))) (pow.f64 w0 #s(literal 2 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) h) l)) #s(literal 1/4 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) #s(literal 2 binary64)) h))))
(+.f64 w0 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 D #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h w0)) (pow.f64 d #s(literal 2 binary64))) l))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (.f64 h w0)))) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (*.f64 h w0)))) l)) w0)
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) l) w0)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 h w0) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))))) l) w0)
(expm1.f64 (log1p.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)))))))
(sqrt.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 M #s(literal 2 binary64)) (.f64 h (pow.f64 w0 #s(literal 2 binary64)))) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 h w0)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) l) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 M (sqrt.f64 h)) #s(literal 2 binary64)) l)) #s(literal 1/4 binary64)))))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l))) w0)) #s(literal 2 binary64))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 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))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 D d) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h w0))) l) w0)
(sqrt.f64 (.f64 h (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 w0 #s(literal 2 binary64))) l)) (/.f64 (pow.f64 w0 #s(literal 2 binary64)) h))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 M (sqrt.f64 (.f64 h w0)))) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))) (.f64 (/.f64 D d) (/.f64 (.f64 M (sqrt.f64 (*.f64 h w0))) (cbrt.f64 l)))) w0)

Outputs

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d D)) (/.f64 (*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))

Calls

15 calls:

393.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
221.0ms	d
143.0ms	D
33.0ms	(*.f64 M D)
29.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
85.0%	1	`w0`
85.0%	1	`M`
85.0%	1	`D`
85.0%	1	`h`
85.0%	1	`l`
85.0%	1	`d`
87.1%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
87.1%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
87.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
85.0%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
85.0%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
85.0%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.0%	1	`(*.f64 M D)`
85.0%	1	`(*.f64 #s(literal 2 binary64) d)`
85.0%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes34.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

Inputs
w0
(sqrt.f64 (*.f64 w0 w0))
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l))))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 D (.f64 M (.f64 (/.f64 h l) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d M)) (/.f64 D #s(literal 2 binary64)))))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) l)) d))) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 d D)) (/.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 D (.f64 #s(literal 1/2 binary64) M)) d) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) d)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D (.f64 (/.f64 #s(literal 1 binary64) (/.f64 M d)) #s(literal 2 binary64))) D) (.f64 #s(literal 1/2 binary64) (/.f64 M d))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (/.f64 h l)))))
(exp.f64 (log.f64 w0))
(sqrt.f64 (pow.f64 w0 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 w0) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 w0) #s(literal 2 binary64))
(pow.f64 (pow.f64 w0 #s(literal 1/3 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 w0 #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 h w0) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) l) w0)
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 (.f64 w0 (/.f64 h l)) (pow.f64 d #s(literal 2 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))

Calls

4 calls:

9.0ms	l
8.0ms	d
8.0ms	M
7.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
85.0%	1	`M`
85.0%	1	`l`
85.0%	1	`d`
85.0%	1	`(/.f64 h l)`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes27.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
w0
(sqrt.f64 (*.f64 w0 w0))
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l))))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 D (.f64 M (.f64 (/.f64 h l) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d M)) (/.f64 D #s(literal 2 binary64)))))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) l)) d))) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) l)) h))))

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) l)) h))))

Calls

7 calls:

4.0ms	M
3.0ms	h
3.0ms	l
3.0ms	w0
3.0ms	D

Results

Accuracy	Segments	Branch
84.3%	1	`w0`
84.3%	1	`D`
84.3%	1	`h`
84.3%	1	`M`
84.3%	1	`l`
84.3%	1	`d`
84.3%	1	`(/.f64 h l)`

Compiler

Compiled 51 to 43 computations (15.7% saved)

regimes102.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

Inputs
w0
(sqrt.f64 (*.f64 w0 w0))
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l))))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 D (.f64 M (.f64 (/.f64 h l) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d M)) (/.f64 D #s(literal 2 binary64)))))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) l)) d))) h))))

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) l)) d))) h))))

Calls

7 calls:

82.0ms	h
3.0ms	D
3.0ms	w0
3.0ms	l
3.0ms	d

Results

Accuracy	Segments	Branch
84.2%	1	`w0`
84.2%	1	`M`
84.2%	1	`D`
84.2%	1	`h`
84.2%	1	`l`
84.2%	1	`d`
84.2%	1	`(/.f64 h l)`

Compiler

Compiled 51 to 43 computations (15.7% saved)

regimes22.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

Inputs
w0
(sqrt.f64 (*.f64 w0 w0))
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l))))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 D (.f64 M (.f64 (/.f64 h l) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d M)) (/.f64 D #s(literal 2 binary64)))))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))))

Outputs

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64)))))

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l)))))

w0

Calls

7 calls:

3.0ms	(/.f64 h l)
3.0ms	w0
3.0ms	h
3.0ms	l
3.0ms	D

Results

Accuracy	Segments	Branch
76.2%	1	`w0`
79.9%	2	`D`
80.4%	2	`d`
82.6%	3	`(/.f64 h l)`
80.6%	2	`M`
76.2%	1	`h`
80.2%	3	`l`

Compiler

Compiled 51 to 43 computations (15.7% saved)

regimes6.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
w0
(sqrt.f64 (*.f64 w0 w0))
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l))))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 D (.f64 M (.f64 (/.f64 h l) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d M)) (/.f64 D #s(literal 2 binary64)))))))))

Outputs
w0
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64)))))

Calls

2 calls:

3.0ms	M
2.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
80.6%	2	`M`
82.0%	3	`(/.f64 h l)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes14.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
w0
(sqrt.f64 (*.f64 w0 w0))
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l))))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0)

Outputs
w0
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0)

Calls

6 calls:

3.0ms	d
2.0ms	M
2.0ms	D
2.0ms	w0
2.0ms	h

Results

Accuracy	Segments	Branch
72.3%	1	`w0`
72.3%	1	`h`
74.8%	2	`l`
76.2%	2	`D`
75.6%	2	`d`
77.1%	2	`M`

Compiler

Compiled 42 to 36 computations (14.3% saved)

regimes12.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
w0
(sqrt.f64 (*.f64 w0 w0))
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l))))

Outputs
w0
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l))))

Calls

6 calls:

2.0ms	w0
2.0ms	D
2.0ms	l
2.0ms	M
2.0ms	d

Results

Accuracy	Segments	Branch
65.4%	1	`w0`
65.4%	1	`h`
65.4%	1	`l`
65.4%	1	`d`
67.2%	2	`D`
72.8%	2	`M`

Compiler

Compiled 42 to 36 computations (14.3% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
w0
(sqrt.f64 (*.f64 w0 w0))

Outputs
w0
(sqrt.f64 (*.f64 w0 w0))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
69.0%	2	`M`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
w0

Outputs
w0

Calls

3 calls:

1.0ms	M
1.0ms	l
1.0ms	D

Results

Accuracy	Segments	Branch
65.4%	1	`l`
65.4%	1	`D`
65.4%	1	`M`

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.434845190253892e+207	1.7853397463567992e+244

Compiler

Compiled 33 to 25 computations (24.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.4225216083408314e-233	-9.69039225329397e-249
0.0ms	-inf	-2.48337762590347e+303

Compiler

Compiled 33 to 25 computations (24.2% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.5155181030764105e-129	6.797369277399318e-125

Results

16.0ms	128×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 329 to 233 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (33.9% of total)

ival-div: 2.0ms (22.6% of total)

ival-sub: 1.0ms (11.3% of total)

ival-sqrt: 1.0ms (11.3% of total)

ival-pow: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.491564198197681e-63	2.3029438862560634e-62

Results

11.0ms	96×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 225 to 169 computations (24.9% saved)

Precisions

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

ival-mult: 3.0ms (44.6% of total)

ival-div: 1.0ms (14.9% of total)

ival-sub: 1.0ms (14.9% of total)

ival-sqrt: 1.0ms (14.9% of total)

ival-pow: 1.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.996742608332613e-22	6.375564615074134e-20

Results

14.0ms	112×	0	valid
1.0ms	12×	0	invalid

Compiler

Compiled 243 to 186 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (35.4% of total)

ival-div: 2.0ms (23.6% of total)

ival-sub: 1.0ms (11.8% of total)

ival-sqrt: 1.0ms (11.8% of total)

ival-pow: 1.0ms (11.8% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8.302522403101351e-36	4.7272508985141726e-35

Results

12.0ms	96×	0	valid
1.0ms	9×	0	invalid

Compiler

Compiled 147 to 121 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (48.7% of total)

ival-div: 2.0ms (24.4% of total)

ival-sub: 1.0ms (12.2% of total)

ival-sqrt: 1.0ms (12.2% of total)

ival-pow: 1.0ms (12.2% of total)

const: 0.0ms (0% of total)

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

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

85×	`*-commutative`
55×	`+-commutative`
54×	`sub-neg`
48×	`distribute-lft-neg-in`
48×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1073
1	201	1073
2	301	1073
3	392	1073
4	480	1073
5	544	1073
6	581	1073
7	595	1073
8	599	1073

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999909315349154054740991463637108491892860888337397349569053269712469449300329851548412746772308261348178402514182220821421164656873275098572126930396830492460411478655642866237930786475017764864 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 d D)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) l)) d))) h))))
(if (<=.f64 (/.f64 h l) #s(literal -inf.0 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64))))) (if (<=.f64 (/.f64 h l) #s(literal -8949657474523425/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))))) w0))
(if (<=.f64 M #s(literal 7926314678536699/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) w0 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64))))))
(if (<=.f64 M #s(literal 2593742798915883/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) w0 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0))
(if (<=.f64 M #s(literal 934613434536269/20769187434139310514121985316880384 binary64)) w0 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l)))))
(if (<=.f64 M #s(literal 1309505467048489/46768052394588893382517914646921056628989841375232 binary64)) w0 (sqrt.f64 (*.f64 w0 w0)))
w0

Outputs
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999909315349154054740991463637108491892860888337397349569053269712469449300329851548412746772308261348178402514182220821421164656873275098572126930396830492460411478655642866237930786475017764864 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 d D)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999909315349154054740991463637108491892860888337397349569053269712469449300329851548412746772308261348178402514182220821421164656873275098572126930396830492460411478655642866237930786475017764864 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 d D)) (/.f64 (.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) l)))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) (/.f64 (.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) l))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) l)) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 M d))) l))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M)) (.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) l)) d))) h))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) (.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) l)) d)))))))
(if (<=.f64 (/.f64 h l) #s(literal -inf.0 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64))))) (if (<=.f64 (/.f64 h l) #s(literal -8949657474523425/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D M) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 (/.f64 d M) #s(literal 2 binary64))))) (/.f64 h l))))) w0))
(if (<=.f64 (/.f64 h l) #s(literal -inf.0 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 h (.f64 M M)) l)) #s(literal 1/4 binary64))))) (if (<=.f64 (/.f64 h l) #s(literal -8949657474523425/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 D (.f64 #s(literal 2 binary64) (/.f64 d M))))))))) w0))
(if (<=.f64 M #s(literal 7926314678536699/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) w0 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/4 binary64))))))
(if (<=.f64 M #s(literal 7926314678536699/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) w0 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 (.f64 h (.f64 M M)) l)) #s(literal 1/4 binary64))))))
(if (<=.f64 M #s(literal 2593742798915883/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) w0 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) M) #s(literal 2 binary64)) (.f64 h w0)) l)) w0))
(if (<=.f64 M #s(literal 2593742798915883/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) w0 (+.f64 w0 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 M (/.f64 D d)) #s(literal 2 binary64)) (.f64 h w0)) l))))
(if (<=.f64 M #s(literal 934613434536269/20769187434139310514121985316880384 binary64)) w0 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 w0 l)))))
(if (<=.f64 M #s(literal 1309505467048489/46768052394588893382517914646921056628989841375232 binary64)) w0 (sqrt.f64 (*.f64 w0 w0)))
w0

soundness2.5s (16%)

Rules

870×	`times-frac`
805×	`associate-*l/`
616×	`fma-define`
611×	`times-frac`
596×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1227	75036
1	3786	70412
0	1122	58140
1	2898	52963
0	53	899
1	866	889
0	49	612
1	722	536
0	178	2099
1	533	2083
2	1583	2067
3	4555	2067
0	1351	100865
1	3591	97355
0	52	1017
1	942	999
0	35	526
1	544	526
2	7752	526

Stop Event

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

Compiler

Compiled 2928 to 1001 computations (65.8% saved)

preprocess114.0ms (0.7%)

Remove

(sort M D)

(negabs w0)

(abs d)

(abs D)

(abs M)

Compiler

Compiled 3900 to 1850 computations (52.6% saved)

analyze597.0ms (3.9%)

sample2.9s (19.3%)

preprocess138.0ms (0.9%)

explain149.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize223.0ms (1.5%)

series183.0ms (1.2%)

rewrite741.0ms (4.8%)

simplify645.0ms (4.2%)

eval97.0ms (0.6%)

prune124.0ms (0.8%)

localize436.0ms (2.9%)

series159.0ms (1%)

rewrite196.0ms (1.3%)

simplify851.0ms (5.6%)

eval190.0ms (1.2%)

prune163.0ms (1.1%)

localize309.0ms (2%)

series123.0ms (0.8%)

rewrite195.0ms (1.3%)

simplify903.0ms (5.9%)

eval116.0ms (0.8%)

prune169.0ms (1.1%)

localize244.0ms (1.6%)

series99.0ms (0.6%)

rewrite153.0ms (1%)

simplify546.0ms (3.6%)

eval438.0ms (2.9%)

prune282.0ms (1.8%)

regimes972.0ms (6.4%)

regimes34.0ms (0.2%)

regimes27.0ms (0.2%)

regimes102.0ms (0.7%)

regimes22.0ms (0.1%)

regimes6.0ms (0%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (0.1%)

bsearch16.0ms (0.1%)

bsearch21.0ms (0.1%)

bsearch18.0ms (0.1%)

simplify34.0ms (0.2%)

soundness2.5s (16%)

preprocess114.0ms (0.7%)

end0.0ms (0%)

Profiling