Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, D

analyze1.1s (6.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
4.2%	3.1%	71.7%	0.2%	0%	25%	0%	9
4.2%	3.1%	71.3%	0.2%	0%	25.3%	0%	10
6.3%	4.7%	69.2%	0.2%	0%	25.9%	0%	11
9.2%	6.6%	65.8%	0.2%	0%	27.4%	0%	12

Compiler

Compiled 24 to 19 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-mult: 194.0ms (53.4% of total)

ival-acos: 73.0ms (20.1% of total)

ival-div: 60.0ms (16.5% of total)

ival-sqrt: 27.0ms (7.4% of total)

const: 8.0ms (2.2% of total)

backward-pass: 1.0ms (0.3% of total)

sample5.3s (33.2%)

Results

2.4s	15679×	0	invalid
1.2s	8256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-mult: 906.0ms (38.4% of total)

ival-div: 776.0ms (32.9% of total)

ival-sqrt: 420.0ms (17.8% of total)

ival-acos: 186.0ms (7.9% of total)

const: 65.0ms (2.8% of total)

backward-pass: 10.0ms (0.4% of total)

Bogosity

preprocess162.0ms (1%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-define`
449×	`div-sub`
442×	`unsub-neg`
434×	`associate-*l/`
344×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1040
1	292	920
2	999	824
3	3700	824
4	4379	824
5	5515	824
6	7072	824

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (neg.f64 x) (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 (neg.f64 y) #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 (neg.f64 z) #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (neg.f64 t)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (neg.f64 x) (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 (neg.f64 y) #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 (neg.f64 z) #s(literal 2 binary64))) (sqrt.f64 t)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (neg.f64 t))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 y (.f64 x #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 z (.f64 y #s(literal 27 binary64)))) (*.f64 x #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 t (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 z #s(literal 27 binary64)))) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 t #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 t #s(literal 2 binary64))) (sqrt.f64 z))))

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (.f64 z #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (.f64 z #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (neg.f64 x) (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 (neg.f64 y) #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 (neg.f64 z) #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (neg.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 (neg.f64 t)) (.f64 z #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 (neg.f64 t)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (neg.f64 x) (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))))
(.f64 #s(literal -1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))) #s(literal -1/3 binary64))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal -1/3 binary64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 (neg.f64 y) #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))))
(.f64 #s(literal -1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))) #s(literal -1/3 binary64))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal -1/3 binary64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 (neg.f64 z) #s(literal 2 binary64))) (sqrt.f64 t)))))
(.f64 #s(literal -1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))) #s(literal -1/3 binary64))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal -1/3 binary64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (neg.f64 t))))))
(.f64 #s(literal -1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 t)))))
(.f64 (acos.f64 (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 (neg.f64 t)) (.f64 z #s(literal 2 binary64))))) #s(literal -1/3 binary64))
(.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 (neg.f64 t)))) #s(literal -1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 y (.f64 x #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x #s(literal 27 binary64))) (sqrt.f64 t)) (*.f64 z #s(literal 2 binary64)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 y x) #s(literal 54 binary64))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y x) z)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 z (.f64 y #s(literal 27 binary64)))) (*.f64 x #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (/.f64 (.f64 #s(literal 3 binary64) z) (.f64 y #s(literal 27 binary64))) (*.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (/.f64 z y) #s(literal 54 binary64)) (sqrt.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z y) x)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 t (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 x))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 t (.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))) (sqrt.f64 x))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 t y)) (/.f64 (sqrt.f64 x) (.f64 z #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 t y) z)) (sqrt.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 z #s(literal 27 binary64)))) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (.f64 z #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 t #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 y))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) t)) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 y))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x t) #s(literal 54 binary64))) (sqrt.f64 y))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x t) z)) (sqrt.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 t #s(literal 2 binary64))) (sqrt.f64 z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (*.f64 #s(literal 2 binary64) t))) (sqrt.f64 z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) t) (sqrt.f64 z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) t)) (sqrt.f64 z))))

Symmetry

(sort y z)

explain454.0ms (2.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
26	-	4	(5.302099252740439e-40 -1.9489543200333837e+279 2.763813115024167e-248 3.87701086065216e-113)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
16	-	3	(-3.00932769461253e-146 -4.4190820313039735e+106 1.0371904141080703e+56 1.5160719975490428e+88)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
0	-	0	-	`x`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	-	0	-	`(sqrt.f64 t)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`t`

Results

359.0ms

512×

valid

Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 21.0ms (40.5% of total)

ival-div: 18.0ms (34.7% of total)

ival-acos: 6.0ms (11.6% of total)

ival-sqrt: 5.0ms (9.6% of total)

const: 2.0ms (3.9% of total)

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

eval1.0ms (0%)

Compiler: Compiled 49 to 30 computations (38.8% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize264.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
✓	accuracy	99.7%	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
✓	accuracy	94.9%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
✓	accuracy	91.4%	(/.f64 (/.f64 x y) z)

Rules

40×	`associate-*l/`
37×	`associate-r`
35×	`associate-*r/`
28×	`associate-l`
23×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	226
1	30	226
2	55	226
3	123	226
4	200	226
5	264	226
6	264	226

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
(sqrt.f64 t)
t

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) z))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t))))
(acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) y) z) (sqrt.f64 t)))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (.f64 (.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) y) z) (sqrt.f64 t))
(.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))
(.f64 (.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 y z))
(/.f64 x y)
x
y
z
(sqrt.f64 t)
t

Results

196.0ms

256×

valid

Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions

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

ival-div: 20.0ms (53.9% of total)

ival-mult: 9.0ms (24.2% of total)

ival-acos: 4.0ms (10.8% of total)

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

const: 1.0ms (2.7% of total)

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

series133.0ms (0.8%)

Counts

5 → 216

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 x y) z)>
#<alt (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))>
#<alt (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))>

Outputs
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>

Calls

54 calls:

Time	Variable		Point	Expression
43.0ms	y	@	-inf	(* 1/18 (/ (/ x y) z))
33.0ms	y	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
5.0ms	t	@	-inf	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
3.0ms	x	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms	t	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))

rewrite315.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log1p-expm1-u`
782×	`expm1-log1p-u`
712×	`log-prod`
220×	`expm1-undefine`
220×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	187
1	249	187
2	3308	187

Stop Event

1×	node limit

Counts

5 → 150

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) z)
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y z)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 x (.f64 y z)))) (cbrt.f64 (exp.f64 (/.f64 x (.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y z)))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 x (.f64 y z)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y z)))
(.f64 (cbrt.f64 (/.f64 x (.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) z))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (.f64 y z)))
(.f64 (sqrt.f64 (/.f64 x (.f64 y z))) (sqrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) z))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 y z)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 z)))
(pow.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (/.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64))
(/.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) #s(literal 1/18 binary64))) z)
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)
(pow.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 t (pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(exp.f64 (log.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))) (cbrt.f64 (exp.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 x y) #s(literal 1/18 binary64))))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (neg.f64 y))) (neg.f64 z))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1/18 binary64)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))))
(exp.f64 (log.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (sqrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(+.f64 #s(literal 0 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (cbrt.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 1 binary64))
(.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (expm1.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (log.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))

simplify389.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg`
588×	`exp-prod`
443×	`associate-/r*`
286×	`distribute-lft-in`
240×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	387	14975
1	803	14753
2	2501	14739
3	6976	14687

Stop Event

1×	node limit

Counts

366 → 207

Calls

Call 1

Inputs
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
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(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (cbrt.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 1 binary64))
(.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (expm1.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (log.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))

Outputs
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))
(.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (sqrt.f64 t)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (sqrt.f64 t)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (sqrt.f64 t))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (cbrt.f64 (asin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z))))) #s(literal 6 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z))))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (cbrt.f64 (asin.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (sqrt.f64 t))))) #s(literal 6 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (sqrt.f64 t))))))
(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(pow.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(sqrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(log.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(log1p.f64 (expm1.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(exp.f64 (log.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64)))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (sqrt.f64 t)))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (sqrt.f64 t)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (sqrt.f64 t)))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (sqrt.f64 t)))))

eval32.0ms (0.2%)

Compiler: Compiled 4769 to 956 computations (80% saved)

prune37.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	201	6	207
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	201	7	208

Accuracy

100.0%

Counts

208 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
▶	98.1%	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
▶	99.6%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
▶	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
▶	89.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
	98.1%	(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))

Compiler

Compiled 245 to 193 computations (21.2% saved)

localize693.0ms (4.4%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
✓	cost-diff	0	(sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
✓	cost-diff	12864	(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
✓	cost-diff	0	(log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
✓	cost-diff	12800	(expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
✓	cost-diff	12800	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
✓	cost-diff	12800	(.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z)))))
✓	cost-diff	12800	(.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t))
✓	cost-diff	12800	(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t)))
✓	cost-diff	12800	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
✓	cost-diff	0	(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
✓	cost-diff	12864	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
✓	accuracy	98.6%	(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
✓	accuracy	98.6%	(pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
✓	accuracy	95.0%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	92.6%	(/.f64 x (*.f64 y z))
✓	accuracy	99.5%	(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
✓	accuracy	98.6%	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
✓	accuracy	95.0%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	92.6%	(/.f64 x (*.f64 y z))
✓	accuracy	98.6%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
✓	accuracy	95.0%	(.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t))
✓	accuracy	92.6%	(/.f64 x (*.f64 y z))
✓	accuracy	43.0%	(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/18 binary64))
✓	accuracy	98.6%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	accuracy	95.0%	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	accuracy	92.5%	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	accuracy	98.6%	(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
✓	accuracy	98.6%	(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
✓	accuracy	95.0%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	92.6%	(/.f64 x (*.f64 y z))

Rules

823×	`fma-define`
586×	`unsub-neg`
392×	`distribute-lft-neg-out`
340×	`associate--l+`
334×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	1410
1	82	1410
2	160	1410
3	293	1410
4	387	1410
5	556	1410
6	1874	1410
7	3552	1410
8	6539	1410

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 3 binary64)
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t)))
(.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t))
(.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z)))))
#s(literal 1/18 binary64)
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (/.f64 x (*.f64 y z)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
#s(literal 1/3 binary64)
(expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
(sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 2 binary64)

Outputs
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z))
(acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))))
(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z))
(acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))))
(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 3 binary64)
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z))
(acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t)))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z))
(acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))))
(.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t))
(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
(.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z)))))
(.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
#s(literal 1/18 binary64)
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(/.f64 x (*.f64 y z))
(exp.f64 (/.f64 x (*.f64 y z)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))
#s(literal 1/3 binary64)
(expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z))
(acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))))
(log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(log1p.f64 (acos.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)))
(log1p.f64 (acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(log1p.f64 (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(log1p.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z))
(acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))))
(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))
#s(literal 1/3 binary64)
(pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z))
(acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))))
(sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(sqrt.f64 (acos.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)))
(sqrt.f64 (acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(sqrt.f64 (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z))
(acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))))
(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 2 binary64)

Results

270.0ms	189×	1	valid
140.0ms	42×	2	valid
72.0ms	21×	5	exit
2.0ms	1×	3	valid
1.0ms	3×	0	valid

Compiler

Compiled 388 to 35 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-log: 57.0ms (21.3% of total)

ival-mult: 51.0ms (19.1% of total)

ival-cbrt: 36.0ms (13.5% of total)

backward-pass: 35.0ms (13.1% of total)

ival-acos: 18.0ms (6.7% of total)

ival-pow: 18.0ms (6.7% of total)

ival-div: 12.0ms (4.5% of total)

ival-exp: 11.0ms (4.1% of total)

ival-sqrt: 10.0ms (3.7% of total)

ival-log1p: 9.0ms (3.4% of total)

ival-expm1: 8.0ms (3% of total)

const: 2.0ms (0.7% of total)

series530.0ms (3.4%)

Counts

23 → 940

Calls

Call 1

Inputs
#<alt (/.f64 x (*.f64 y z))>
#<alt (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
#<alt (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))>
#<alt (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))>
#<alt (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))>
#<alt (*.f64 x #s(literal 1/18 binary64))>
#<alt (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))>
#<alt (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))>
#<alt (.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))>
#<alt (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))>
#<alt (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))>
#<alt (.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))>
#<alt (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))>
#<alt (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))>
#<alt (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t)))>
#<alt (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z)))))>
#<alt (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))>
#<alt (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))>
#<alt (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))>

Outputs
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))) #s(literal 3 binary64))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
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#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))))>
#<alt (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))))>

Calls

246 calls:

Time	Variable		Point	Expression
146.0ms	z	@	inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
89.0ms	t	@	-inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
46.0ms	x	@	0	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
41.0ms	y	@	inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
21.0ms	x	@	inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))

rewrite412.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`log1p-expm1-u`
218×	`associate-r`
208×	`expm1-log1p-u`
204×	`pow1`
203×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	921
1	611	921
2	6246	921

Stop Event

1×	node limit

Counts

23 → 733

Calls

Call 1

Inputs
(/.f64 x (*.f64 y z))
(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
(*.f64 x #s(literal 1/18 binary64))
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t)))
(.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z)))))
(expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (.f64 y z)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y z)))
(.f64 (/.f64 x (.f64 y z)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y z)))
(.f64 (cbrt.f64 (/.f64 x (.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (*.f64 y z))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (.f64 y z)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(.f64 (sqrt.f64 (/.f64 x (.f64 y z))) (sqrt.f64 (/.f64 x (*.f64 y z))))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 y z)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 z (neg.f64 y))))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 y z))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 y z))) (/.f64 x (sqrt.f64 (*.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (.f64 y z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (*.f64 y z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))
(.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (.f64 y z)))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y z))))
(pow.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 z x)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 z (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 t) (*.f64 (/.f64 y x) (/.f64 z #s(literal 1/18 binary64))))
(/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (*.f64 z (neg.f64 y)))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 x)) (*.f64 z (neg.f64 y)))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal -1/18 binary64))) (*.f64 z (neg.f64 y)))
(/.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) y))) z)
(/.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z (neg.f64 y)))
(/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(/.f64 (.f64 (.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) (*.f64 z (neg.f64 y)))
(/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
(/.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) y) z)
(/.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
(/.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 y z))
(/.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (.f64 y z)))
(/.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)))
(pow.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 t (pow.f64 (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 x (.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)))) #s(literal 1 binary64))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) (.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64)) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64))) (.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64))))
(.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3/2 binary64)) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64)) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64)))) (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(sqrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))))
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(pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(log1p.f64 (expm1.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(exp.f64 (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))) #s(literal 1 binary64))
(.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(.f64 (cbrt.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(.f64 (sqrt.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) (sqrt.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(pow.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 2 binary64)))
(log.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(exp.f64 (log.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) (cbrt.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(log.f64 (exp.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))))
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(exp.f64 (log.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 1 binary64)))

simplify1.1s (7.1%)

Algorithm

1×	egg-herbie

Rules

872×	`cube-prod`
719×	`exp-prod`
464×	`associate-r`
460×	`associate-l`
291×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	703	88871
1	1527	83943
2	5959	83439

Stop Event

1×	node limit

Counts

1673 → 427

Calls

Call 1

Inputs
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))
(.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))
(.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))
(.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
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(pow.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 2 binary64)))
(log.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(exp.f64 (log.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) (cbrt.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(log.f64 (exp.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))))
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(exp.f64 (log.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
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(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(sqrt.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 1 binary64)))
(sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(sqrt.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))))

eval102.0ms (0.6%)

Compiler: Compiled 14936 to 3022 computations (79.8% saved)

prune257.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	702	2	704
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	706	5	711

Accuracy

100.0%

Counts

711 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.2%	(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
▶	98.5%	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	99.2%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))))
✓	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

Compiler

Compiled 95 to 74 computations (22.1% saved)

localize245.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
✓	cost-diff	0	(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	256	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z))
✓	cost-diff	0	(pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64)))
✓	cost-diff	12864	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))))
✓	accuracy	99.4%	(/.f64 #s(literal 1/18 binary64) y)
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	94.9%	(.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
✓	accuracy	94.7%	(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))))
✓	accuracy	98.4%	(pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))
✓	accuracy	95.3%	(.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	90.9%	(/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)

Rules

636×	`distribute-lft-in`
582×	`unsub-neg`
574×	`associate-+r-`
541×	`distribute-rgt-in`
532×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	630
1	66	630
2	143	630
3	321	630
4	947	630
5	3199	630
6	6997	630

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))
(acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z))
(/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x y)
x
y
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
#s(literal 3 binary64)
(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1/3 binary64)
(-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
(sqrt.f64 t)
t
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 x z)
x
z
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
#s(literal 1 binary64)

Outputs
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (sqrt.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (.f64 y z))))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64)))
(acos.f64 (.f64 (/.f64 x y) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))
(acos.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 (/.f64 x y) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal 3 binary64))
(acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z))
(acos.f64 (.f64 (/.f64 x y) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))
(acos.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(.f64 (/.f64 x y) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) y)
(.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 1/18 binary64)) y))
(.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 x y)
x
y
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
#s(literal 3 binary64)
(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (sqrt.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (.f64 y z))))))
#s(literal 1/3 binary64)
(-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(acos.f64 (.f64 (/.f64 x y) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))
(acos.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 1 binary64))
(+.f64 (acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal 1 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(acos.f64 (.f64 (/.f64 x y) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))
(acos.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
(.f64 (/.f64 x y) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(sqrt.f64 t)
t
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)
(/.f64 x z)
x
z
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
#s(literal 1 binary64)

Results

134.0ms

256×

valid

Compiler

Compiled 181 to 26 computations (85.6% saved)

Precisions

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

ival-mult: 80.0ms (76.7% of total)

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

ival-acos: 5.0ms (4.8% of total)

ival-pow: 4.0ms (3.8% of total)

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

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

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

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

const: 1.0ms (1% of total)

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

series48.0ms (0.3%)

Counts

13 → 552

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)>
#<alt (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
#<alt (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))>
#<alt (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))))>
#<alt (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))>
#<alt (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))>
#<alt (.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1/18 binary64) y)>
#<alt (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64)))>
#<alt (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z))>
#<alt (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))>
#<alt (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))>

Outputs
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
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#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>

Calls

141 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(* 1/3 (cbrt (pow (acos (/ (* (/ x y) (* 1/18 (sqrt t))) z)) 3)))
1.0ms	t	@	-inf	(* (/ x y) (* 1/18 (sqrt t)))
1.0ms	x	@	0	(* (/ x y) (* 1/18 (sqrt t)))
1.0ms	y	@	0	(* (/ x y) (* 1/18 (sqrt t)))
1.0ms	x	@	inf	(* (/ x y) (* 1/18 (sqrt t)))

rewrite491.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

394×	`log1p-expm1-u`
346×	`prod-diff`
214×	`expm1-log1p-u`
212×	`associate-r`
210×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	536
1	502	536
2	6974	536

Stop Event

1×	node limit

Counts

13 → 589

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/18 binary64) y)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64)))
(acos.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z))
(-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 1 binary64))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))
(.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))
(.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (/.f64 (/.f64 x y) z))
(.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 x (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64))
(.f64 (/.f64 x z) (.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))
(.f64 (/.f64 #s(literal 1/18 binary64) y) (.f64 (sqrt.f64 t) (/.f64 x z)))
(.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (sqrt.f64 t))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) (cbrt.f64 (.f64 t (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) (sqrt.f64 t)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 t #s(literal 1/324 binary64)))) (/.f64 (cbrt.f64 (.f64 x (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y))) z))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 t #s(literal 1/324 binary64)))) (.f64 (cbrt.f64 (.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) y))) (/.f64 #s(literal 1 binary64) z)))
(.f64 (cbrt.f64 (.f64 t (pow.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))) (cbrt.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(.f64 (cbrt.f64 t) (.f64 (cbrt.f64 (sqrt.f64 t)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) (sqrt.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(.f64 (sqrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) (.f64 (sqrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) (sqrt.f64 t)))
(.f64 (sqrt.f64 (.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) y))) (/.f64 (sqrt.f64 (.f64 x (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y))) z))
(.f64 (sqrt.f64 (.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) y))) (.f64 (sqrt.f64 (.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) y))) (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y)))
(.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z))
(.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 (sqrt.f64 t) (/.f64 x z)) (/.f64 #s(literal 1/18 binary64) y))
(.f64 (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z) (/.f64 x y))
(.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))
(.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (cbrt.f64 z)))
(.f64 (/.f64 (/.f64 x y) (sqrt.f64 z)) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (sqrt.f64 z)) (/.f64 (/.f64 x y) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 x y) z))
(.f64 (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (.f64 x (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y)) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 x (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y)) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 t #s(literal 1/324 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 x (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y))) z))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 t #s(literal 1/324 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 t #s(literal 1/324 binary64)))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (.f64 x (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y))) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 x (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y))) z))
(.f64 (/.f64 (sqrt.f64 (.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) y))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 x (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y))) (cbrt.f64 z)))
(.f64 (/.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) z))
(.f64 (/.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 z)))
(.f64 (/.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 z)) (/.f64 (sqrt.f64 t) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)) (/.f64 x z))
(.f64 (.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(.f64 (.f64 (sqrt.f64 t) (sqrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) (sqrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(.f64 (.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t)))
(.f64 (.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) #s(literal 1 binary64)) (/.f64 #s(literal 1/18 binary64) y))
(.f64 (.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)))
(.f64 (.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)))
(pow.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) (sqrt.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64))))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))))
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(log1p.f64 (expm1.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(exp.f64 (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal -1 binary64))

simplify769.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

485×	`associate-l`
464×	`fma-neg`
464×	`associate-r`
423×	`times-frac`
295×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	783	68471
1	1850	65091
2	7392	65067

Stop Event

1×	node limit

Counts

1141 → 458

Calls

Call 1

Inputs
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))))
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(log1p.f64 (expm1.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(exp.f64 (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal -1 binary64))

Outputs
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x))))
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(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x))))
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(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x y)))
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(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x y)))
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(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x y)))
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(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x y)))
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(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x y)))
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(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 1 binary64)))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x)))))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) #s(literal 1/3 binary64)))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x)))))
(fma.f64 #s(literal 1 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 0 binary64))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x)))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x)))))
(fma.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x)))))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (.f64 z (/.f64 y x)))))

eval135.0ms (0.9%)

Compiler: Compiled 11972 to 2311 computations (80.7% saved)

prune73.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	457	1	458
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	457	6	463

Accuracy

100.0%

Counts

463 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
✓	97.2%	(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.2%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))))
✓	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

Compiler

Compiled 116 to 91 computations (21.6% saved)

localize366.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
✓	cost-diff	0	(acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
✓	cost-diff	0	(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
✓	cost-diff	256	(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
	accuracy	99.4%	(/.f64 #s(literal 1/18 binary64) y)
✓	accuracy	94.9%	(.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
✓	accuracy	91.8%	(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))

Rules

3117×	`associate-+r+`
1325×	`+-commutative`
1163×	`associate-+l+`
842×	`fma-define`
38×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	338
1	43	338
2	77	332
3	152	326
4	237	326
5	323	326
6	406	326
7	599	326
8	661	326
9	673	326
10	675	326
11	675	326
12	1056	326
13	1180	326
14	1196	326
15	1212	326
16	1214	326
17	1214	326
18	1214	326
19	2405	326
20	2527	326
21	2548	326
22	2590	326
23	2612	326
24	2614	326
25	2839	326
26	2839	326
27	2839	326
28	6710	326
29	6980	326
30	7010	326
31	7068	326
32	7128	326
33	7192	326
34	7225	326
35	7227	326
36	7227	326

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(sqrt.f64 t)
t
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
x
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
z
#s(literal 1 binary64)
#s(literal 1/3 binary64)
#s(literal -1/3 binary64)

Outputs
(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 1/3 binary64) #s(literal -1/3 binary64))
(fma.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 1 binary64)) #s(literal 1/3 binary64) #s(literal -1/3 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 1/3 binary64))
(.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 z y))))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))))
(fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))
(fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))
(fma.f64 (acos.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))
(fma.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))
(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 1 binary64))
(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 1 binary64))
(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z))) #s(literal 1 binary64))
(+.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 1 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(acos.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z)))
(acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y))))
(.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(sqrt.f64 t)
t
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 z y)))
(.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))
x
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
z
#s(literal 1 binary64)
#s(literal 1/3 binary64)
#s(literal -1/3 binary64)

Results

44.0ms

256×

valid

Compiler

Compiled 96 to 18 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 5.0ms (29.4% of total)

ival-div: 4.0ms (23.5% of total)

ival-add: 3.0ms (17.6% of total)

ival-sqrt: 2.0ms (11.8% of total)

ival-acos: 2.0ms (11.8% of total)

const: 1.0ms (5.9% of total)

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

series25.0ms (0.2%)

Counts

6 → 252

Calls

Call 1

Inputs
#<alt (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))>
#<alt (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))>
#<alt (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)>
#<alt (+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))>
#<alt (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))>
#<alt (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))>

Outputs
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
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#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(+ (acos (* (sqrt t) (* x (/ (/ 1/18 y) z)))) 1)
1.0ms	t	@	-inf	(+ (* (+ (acos (* (sqrt t) (* x (/ (/ 1/18 y) z)))) 1) 1/3) -1/3)
1.0ms	y	@	inf	(/ (/ 1/18 y) z)
1.0ms	z	@	-inf	(+ (* (+ (acos (* (sqrt t) (* x (/ (/ 1/18 y) z)))) 1) 1/3) -1/3)
1.0ms	x	@	-inf	(+ (* (+ (acos (* (sqrt t) (* x (/ (/ 1/18 y) z)))) 1) 1/3) -1/3)

rewrite184.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

995×	`log1p-expm1-u`
896×	`expm1-log1p-u`
289×	`prod-diff`
140×	`add-exp-log`
140×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	243
1	323	243
2	4289	243

Stop Event

1×	node limit

Counts

6 → 193

Calls

Call 1

Inputs
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1 binary64))
(/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z)
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (neg.f64 z))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(/.f64 (*.f64 x (/.f64 #s(literal -1/18 binary64) y)) (neg.f64 z))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(/.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) x) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y)))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y)))))
(exp.f64 (log.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (sqrt.f64 t)) (/.f64 z (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) y)) z)
(/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal 1 binary64)) (/.f64 z (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) y))) z)
(/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))
(/.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal -1/18 binary64) y)) (neg.f64 z))
(/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
(pow.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))))
(exp.f64 (log.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(.f64 (cbrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z))) (sqrt.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (cbrt.f64 z)))
(pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 z (/.f64 #s(literal 1/18 binary64) y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (neg.f64 z)))
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(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))))) (sqrt.f64 (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 1 binary64) (.f64 (asin.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) #s(literal 1 binary64))))
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(-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))))
(.f64 (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))))
(.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
(.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) (.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (.f64 (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
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(pow.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 3 binary64))
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(pow.f64 (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 1 binary64)))

simplify366.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-define`
296×	`distribute-lft-in`
292×	`distribute-rgt-in`
283×	`cancel-sign-sub-inv`
240×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	22651
1	1057	22249
2	3178	20899

Stop Event

1×	node limit

Counts

445 → 269

Calls

Call 1

Inputs
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (neg.f64 x) y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 (/.f64 (neg.f64 x) y) z) #s(literal -1/18 binary64)))
(.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 y z))))
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(.f64 (sqrt.f64 t) (.f64 (/.f64 (/.f64 (neg.f64 x) y) z) #s(literal -1/18 binary64)))
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(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)))
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))) #s(literal 1 binary64)))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)))
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(acos.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))

eval41.0ms (0.3%)

Compiler: Compiled 7971 to 1708 computations (78.6% saved)

prune61.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	294	5	299

Accuracy

100.0%

Counts

299 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(+.f64 (.f64 (+.f64 (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
✓	97.2%	(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

Compiler

Compiled 289 to 158 computations (45.3% saved)

regimes114.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (.f64 (+.f64 (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)) #s(literal 3 binary64))))
(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))

Outputs
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))

Calls

13 calls:

44.0ms	(*.f64 z #s(literal 2 binary64))
24.0ms	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
5.0ms	y
4.0ms	(*.f64 y #s(literal 27 binary64))
4.0ms	t

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
99.6%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
99.6%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
99.6%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
99.6%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
99.6%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
99.6%	1	`(*.f64 y #s(literal 27 binary64))`
99.6%	1	`(*.f64 z #s(literal 2 binary64))`
99.6%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes90.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (.f64 (+.f64 (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (log.f64 (exp.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))

Outputs
(+.f64 (.f64 (+.f64 (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))

Calls

13 calls:

52.0ms	(/.f64 x (*.f64 y #s(literal 27 binary64)))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
3.0ms	(*.f64 y #s(literal 27 binary64))
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`t`
99.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
99.2%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
99.2%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
99.2%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
99.2%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
99.2%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
99.2%	1	`(*.f64 y #s(literal 27 binary64))`
99.2%	1	`(*.f64 z #s(literal 2 binary64))`
99.2%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes13.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))

Outputs
(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))

Calls

5 calls:

4.0ms	(sqrt.f64 t)
2.0ms	t
2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`t`
99.2%	1	`(sqrt.f64 t)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes11.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))

(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))

Calls

5 calls:

3.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(sqrt.f64 t)
2.0ms	t

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`
98.5%	1	`(sqrt.f64 t)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes17.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Calls

5 calls:

2.0ms	z
2.0ms	(sqrt.f64 t)
1.0ms	t
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`
98.1%	1	`(sqrt.f64 t)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes7.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

Calls

5 calls:

1.0ms	(sqrt.f64 t)
1.0ms	t
1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`y`
97.7%	1	`z`
97.7%	1	`t`
97.7%	1	`(sqrt.f64 t)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
7×	`+-commutative`
3×	`1-exp`
2×	`unsub-neg`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	352
1	90	352
2	94	352
3	97	352
4	100	352
5	103	352

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(+.f64 (.f64 (+.f64 (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

Outputs
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(+.f64 (.f64 (+.f64 (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z)) #s(literal 1 binary64))) #s(literal -1/3 binary64))
(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))))
(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 1 binary64)))
(.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal -1 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))

soundness1.4s (8.8%)

Rules

995×	`log1p-expm1-u`
932×	`log1p-expm1-u`
896×	`expm1-log1p-u`
782×	`log1p-expm1-u`
782×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	243
1	323	243
2	4289	243
0	100	1040
1	292	920
2	999	824
3	3700	824
4	4379	824
5	5515	824
6	7072	824
0	33	536
1	502	536
2	6974	536
0	387	14975
1	803	14753
2	2501	14739
3	6976	14687
0	21	187
1	249	187
2	3308	187
0	42	921
1	611	921
2	6246	921

Stop Event

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

Compiler

Compiled 817 to 319 computations (61% saved)

preprocess124.0ms (0.8%)

Remove: (sort y z)
Compiler: Compiled 522 to 364 computations (30.3% saved)

analyze1.1s (6.8%)

sample5.3s (33.2%)

preprocess162.0ms (1%)

explain454.0ms (2.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize264.0ms (1.7%)

series133.0ms (0.8%)

rewrite315.0ms (2%)

simplify389.0ms (2.5%)

eval32.0ms (0.2%)

prune37.0ms (0.2%)

localize693.0ms (4.4%)

series530.0ms (3.4%)

rewrite412.0ms (2.6%)

simplify1.1s (7.1%)

eval102.0ms (0.6%)

prune257.0ms (1.6%)

localize245.0ms (1.5%)

series48.0ms (0.3%)

rewrite491.0ms (3.1%)

simplify769.0ms (4.9%)

eval135.0ms (0.9%)

prune73.0ms (0.5%)

localize366.0ms (2.3%)

series25.0ms (0.2%)

rewrite184.0ms (1.2%)

simplify366.0ms (2.3%)

eval41.0ms (0.3%)

prune61.0ms (0.4%)

regimes114.0ms (0.7%)

regimes90.0ms (0.6%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes17.0ms (0.1%)

regimes7.0ms (0%)

simplify8.0ms (0.1%)

soundness1.4s (8.8%)

preprocess124.0ms (0.8%)

end0.0ms (0%)

Profiling