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

analyze449.0ms (3.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
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: 226.0ms

ival-mult: 105.0ms (46.4% of total)

ival-div: 68.0ms (30.1% of total)

ival-acos: 24.0ms (10.6% of total)

ival-sqrt: 21.0ms (9.3% of total)

const: 7.0ms (3.1% of total)

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

sample6.4s (49.9%)

Results

2.8s	15983×	0	invalid
1.8s	8256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-div: 1.5s (45.7% of total)

ival-mult: 1.3s (37.8% of total)

ival-acos: 283.0ms (8.5% of total)

ival-sqrt: 191.0ms (5.7% of total)

const: 66.0ms (2% of total)

backward-pass: 9.0ms (0.3% of total)

Bogosity

preprocess188.0ms (1.5%)

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)

explain142.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
26	-	4	(3.3539654480936655e-16 1.2583546231242217 1.1057966928244091e+306 6.42216168972938e+168)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
21	-	3	(1.8622668152200486e-50 -1.198869570881223e+265 9.456373581870394e-174 1.0503366579915418e+24)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
2	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
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	-	`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

81.0ms

512×

valid

Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 17.0ms (42.3% of total)

ival-div: 12.0ms (29.8% of total)

ival-sqrt: 5.0ms (12.4% of total)

ival-acos: 5.0ms (12.4% of total)

const: 2.0ms (5% of total)

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

eval1.0ms (0%)

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

prune100.0ms (0.8%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
✓	cost-diff	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
✓	cost-diff	(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
✓	cost-diff	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

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

localize55.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.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	92.9%	(/.f64 (/.f64 x y) z)
✓	accuracy	92.0%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))

Results

41.0ms

256×

valid

Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

...c/correct-round.rkt:129:19: 7.0ms (30.2% of total)

ival-div: 6.0ms (25.9% of total)

ival-mult: 5.0ms (21.6% of total)

ival-sqrt: 2.0ms (8.6% of total)

ival-acos: 2.0ms (8.6% of total)

const: 0.0ms (0% of total)

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

series76.0ms (0.6%)

Counts

5 → 216

Calls

Call 1

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

Outputs
#<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 (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)))))>
#<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 1/18 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 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))>

Calls

54 calls:

Time	Variable		Point	Expression
43.0ms	y	@	inf	(* 1/18 (/ (/ x y) z))
3.0ms	y	@	-inf	(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
3.0ms	z	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms	x	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms	t	@	-inf	(* (* 1/18 (/ (/ x y) z)) (sqrt t))

rewrite275.0ms (2.1%)

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 #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 (.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))
(/.f64 (/.f64 x y) z)

Outputs
(+.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 (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))))
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(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)))

simplify417.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg`
587×	`exp-prod`
444×	`associate-/r*`
296×	`distribute-lft-in`
238×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	388	14975
1	807	14753
2	2519	14739
3	6946	14687

Stop Event

1×	node limit

Counts

366 → 198

Calls

Call 1

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

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

eval124.0ms (1%)

Compiler: Compiled 4582 to 926 computations (79.8% saved)

prune132.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	3	199

Accuracy

100.0%

Counts

199 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
▶	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))))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

Status

Accuracy

Program

▶

97.6%

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

▶

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))))

✓

98.5%

(*.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 59 to 47 computations (20.3% saved)

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))
✓	cost-diff	0	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
✓	cost-diff	128	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
✓	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))))

Rules

35×	`*-commutative`
34×	`associate-*r/`
29×	`associate-r`
29×	`associate-l`
28×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	758
1	61	758
2	124	758
3	206	758
4	267	758
5	275	758

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

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

localize290.0ms (2.3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
✓	accuracy	98.5%	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
✓	accuracy	92.8%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
✓	accuracy	92.0%	(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
✓	accuracy	98.5%	(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	98.4%	(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
✓	accuracy	92.1%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	91.1%	(/.f64 x (*.f64 y z))

Results

83.0ms

256×

valid

Compiler

Compiled 206 to 28 computations (86.4% saved)

Precisions

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

ival-mult: 14.0ms (27% of total)

ival-div: 7.0ms (13.5% of total)

...c/correct-round.rkt:129:19: 7.0ms (13.5% of total)

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

ival-sqrt: 4.0ms (7.7% of total)

ival-pow: 4.0ms (7.7% of total)

ival-exp: 3.0ms (5.8% of total)

ival-log: 3.0ms (5.8% of total)

ival-cbrt: 2.0ms (3.9% of total)

const: 1.0ms (1.9% of total)

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

series545.0ms (4.2%)

Counts

12 → 516

Calls

Call 1

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

Outputs
#<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 (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)))))>
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#<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)))>

Calls

138 calls:

Time	Variable		Point	Expression
111.0ms	z	@	-inf	(* 1/3 (* 2 (log (sqrt (exp (acos (* (sqrt t) (* (/ x y) (/ 1/18 z)))))))))
81.0ms	t	@	0	(* 1/3 (* 2 (log (sqrt (exp (acos (* (sqrt t) (* (/ x y) (/ 1/18 z)))))))))
60.0ms	z	@	inf	(* 1/3 (* 2 (log (sqrt (exp (acos (* (sqrt t) (* (/ x y) (/ 1/18 z)))))))))
43.0ms	x	@	inf	(* 1/3 (* 2 (log (sqrt (exp (acos (* (sqrt t) (* (/ x y) (/ 1/18 z)))))))))
33.0ms	z	@	0	(* 1/3 (* 2 (log (sqrt (exp (acos (* (sqrt t) (* (/ x y) (/ 1/18 z)))))))))

rewrite334.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`log1p-expm1-u`
240×	`associate-r`
211×	`add-exp-log`
210×	`expm1-log1p-u`
207×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	530
1	504	524
2	6471	524

Stop Event

1×	node limit

Counts

12 → 413

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (.f64 #s(literal 1/2 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))))
(+.f64 #s(literal 0 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) #s(literal 1 binary64) (.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (sqrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) #s(literal 1 binary64) (.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))) #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 y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (sqrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))))
(+.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 y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) #s(literal 1 binary64) (.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))) #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 y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))))
(+.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 y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (sqrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))))
(+.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 y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) #s(literal 1 binary64) (.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))) #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 y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (.f64 (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (cbrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))))
(+.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 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) (sqrt.f64 (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))))
(.f64 (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))
(.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) #s(literal 2 binary64))) (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))) (pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))) #s(literal 2 binary64)))
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(pow.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z))))))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))
(exp.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 1 binary64)))

simplify1.3s (10%)

Algorithm

1×	egg-herbie

Rules

490×	`cube-prod`
442×	`exp-prod`
391×	`associate-r`
379×	`swap-sqr`
330×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	653	46457
1	1431	45345
2	4767	45329

Stop Event

1×	node limit

Counts

929 → 378

Calls

Call 1

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

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

eval60.0ms (0.5%)

Compiler: Compiled 8966 to 2033 computations (77.3% saved)

prune99.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	377	1	378
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	378	3	381

Accuracy

100.0%

Counts

381 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

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))))

✓

98.5%

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

▶

98.5%

(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify246.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))
✓	cost-diff	0	(expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))))
✓	cost-diff	12800	(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))

Rules

4408×	`associate-+r-`
722×	`sub-neg`
683×	`+-commutative`
190×	`associate-+l-`
123×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	321
1	35	321
2	60	321
3	94	321
4	166	321
5	325	321
6	780	321
7	1194	321
8	1347	321
9	1462	321
10	1462	321
11	1462	321
12	2823	321
13	3436	321
14	3792	321
15	3792	321
16	3792	321
17	3792	321

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))
(expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (/.f64 x 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 x y)
x
y
(/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)
(sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))
(*.f64 t #s(literal 1/324 binary64))
t
#s(literal 1/324 binary64)
z

Outputs
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) z) y)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y) z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (.f64 y z)))))
(expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))))
(expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) z) y))))
(expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y) z)))))
(expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) z) y)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) y) z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (.f64 y z)))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))
(acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z) y))
(acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) y) z)))
(acos.f64 (.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (*.f64 y z))))
(.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))
(/.f64 (/.f64 (.f64 x (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z) y)
(.f64 x (/.f64 (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) y) z))
(.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (*.f64 y z)))
(/.f64 x y)
x
y
(/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)
(sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))
(*.f64 t #s(literal 1/324 binary64))
t
#s(literal 1/324 binary64)
z

localize144.0ms (1.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 t #s(literal 1/324 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))
✓	accuracy	98.4%	(expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))))
✓	accuracy	90.8%	(.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))

Results

127.0ms

256×

valid

Compiler

Compiled 90 to 16 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 7.0ms (23.1% of total)

...c/correct-round.rkt:129:19: 7.0ms (23.1% of total)

ival-div: 4.0ms (13.2% of total)

ival-expm1: 4.0ms (13.2% of total)

ival-acos: 3.0ms (9.9% of total)

ival-log1p: 3.0ms (9.9% of total)

ival-sqrt: 2.0ms (6.6% of total)

const: 0.0ms (0% of total)

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

series44.0ms (0.3%)

Counts

6 → 252

Calls

Call 1

Inputs
#<alt (log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))>
#<alt (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))>
#<alt (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))>
#<alt (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))>
#<alt (*.f64 t #s(literal 1/324 binary64))>

Outputs
#<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))))))>
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#<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 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (.f64 y z))))>
#<alt (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (.f64 y z))))>
#<alt (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (.f64 y z))))>
#<alt (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 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 (.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 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 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))))>
#<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 1/324 binary64) t)>
#<alt (*.f64 #s(literal 1/324 binary64) t)>
#<alt (*.f64 #s(literal 1/324 binary64) t)>
#<alt (*.f64 #s(literal 1/324 binary64) t)>
#<alt (*.f64 #s(literal 1/324 binary64) t)>
#<alt (*.f64 #s(literal 1/324 binary64) t)>
#<alt (*.f64 #s(literal 1/324 binary64) t)>
#<alt (*.f64 #s(literal 1/324 binary64) t)>
#<alt (*.f64 #s(literal 1/324 binary64) t)>
#<alt (*.f64 #s(literal 1/324 binary64) t)>
#<alt (*.f64 #s(literal 1/324 binary64) t)>
#<alt (*.f64 #s(literal 1/324 binary64) t)>

Calls

63 calls:

Time	Variable		Point	Expression
21.0ms	t	@	-inf	(* (/ x y) (/ (sqrt (* t 1/324)) z))
2.0ms	x	@	-inf	(- (exp (* 1/3 (acos (* (/ x y) (/ (sqrt (* t 1/324)) z))))) 1)
1.0ms	t	@	-inf	(log (+ 1 (- (exp (* 1/3 (acos (* (/ x y) (/ (sqrt (* t 1/324)) z))))) 1)))
0.0ms	t	@	-inf	(- (exp (* 1/3 (acos (* (/ x y) (/ (sqrt (* t 1/324)) z))))) 1)
0.0ms	t	@	inf	(- (exp (* 1/3 (acos (* (/ x y) (/ (sqrt (* t 1/324)) z))))) 1)

rewrite164.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`log1p-expm1-u`
856×	`expm1-log1p-u`
763×	`log-prod`
237×	`expm1-undefine`
237×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	253
1	274	253
2	3619	253

Stop Event

1×	node limit

Counts

6 → 176

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))
(expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))
(acos.f64 (.f64 (/.f64 x 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 t #s(literal 1/324 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))))) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))
(.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))) (cbrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))))
(.f64 (sqrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) (.f64 (sqrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) #s(literal 2 binary64))) (cbrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))) (sqrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))))
(pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))))
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(.f64 (cbrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) (pow.f64 (cbrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(.f64 (sqrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) (sqrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))) #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 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))) (asin.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (asin.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))) (asin.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(pow.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))))
(cbrt.f64 (pow.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(log1p.f64 (expm1.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(exp.f64 (log.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(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 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(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 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(+.f64 #s(literal 0 binary64) (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))) (cbrt.f64 (exp.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))) #s(literal 1 binary64))
(/.f64 x (.f64 y (/.f64 z (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 x (.f64 (/.f64 z (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y))
(/.f64 (/.f64 x y) (/.f64 z (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 (/.f64 y x) z))
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 z (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 (neg.f64 x) (.f64 (/.f64 z (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 y)))
(/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z)
(/.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) y)
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) (/.f64 z (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y (neg.f64 z)))
(/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 x)) (*.f64 z (neg.f64 y)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 (neg.f64 z) y))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (/.f64 y x)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) (neg.f64 (*.f64 y z)))
(/.f64 (neg.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) (neg.f64 y))
(/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 z))
(/.f64 (.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) (neg.f64 x)) (neg.f64 y))
(/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) (neg.f64 y))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(exp.f64 (log.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 t #s(literal 1/324 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64))) (cbrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t #s(literal 1/324 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 t #s(literal 1/324 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 t #s(literal 1/324 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 t #s(literal 2 binary64)) #s(literal 1/104976 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 t #s(literal 1/324 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 t #s(literal 2 binary64)) #s(literal 1/104976 binary64)))
(log.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t #s(literal 1/324 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 t #s(literal 1/324 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 t #s(literal 1/324 binary64))))
(log1p.f64 (expm1.f64 (*.f64 t #s(literal 1/324 binary64))))
(exp.f64 (log.f64 (*.f64 t #s(literal 1/324 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 t #s(literal 1/324 binary64))) #s(literal 1 binary64)))

simplify458.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

415×	`distribute-lft-neg-in`
381×	`distribute-rgt-neg-in`
344×	`cube-prod`
292×	`times-frac`
278×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	21669
1	911	21475
2	3262	21367

Stop Event

1×	node limit

Counts

428 → 245

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
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(/.f64 x (.f64 y (/.f64 z (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 x (.f64 (/.f64 z (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y))
(/.f64 (/.f64 x y) (/.f64 z (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 (/.f64 y x) z))
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 z (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 (neg.f64 x) (.f64 (/.f64 z (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 y)))
(/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z)
(/.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) y)
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) (/.f64 z (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y (neg.f64 z)))
(/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 x)) (*.f64 z (neg.f64 y)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 (neg.f64 z) y))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (/.f64 y x)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) (neg.f64 (*.f64 y z)))
(/.f64 (neg.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) (neg.f64 y))
(/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 z))
(/.f64 (.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) (neg.f64 x)) (neg.f64 y))
(/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) (neg.f64 y))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(exp.f64 (log.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 t #s(literal 1/324 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64))) (cbrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t #s(literal 1/324 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 t #s(literal 1/324 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 t #s(literal 1/324 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 t #s(literal 2 binary64)) #s(literal 1/104976 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 t #s(literal 1/324 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 t #s(literal 2 binary64)) #s(literal 1/104976 binary64)))
(log.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t #s(literal 1/324 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 t #s(literal 1/324 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 t #s(literal 1/324 binary64))))
(log1p.f64 (expm1.f64 (*.f64 t #s(literal 1/324 binary64))))
(exp.f64 (log.f64 (*.f64 t #s(literal 1/324 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 t #s(literal 1/324 binary64))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64))) z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1/324 binary64)) (*.f64 y z)))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 (sqrt.f64 #s(literal -1/324 binary64)) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64))) z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1/324 binary64)) (*.f64 y z)))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 (sqrt.f64 #s(literal -1/324 binary64)) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64))) z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1/324 binary64)) (*.f64 y z)))))))
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(.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 (.f64 y z) x)))
(/.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) (neg.f64 y))
(.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 (.f64 y z) x)))
(/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 z))
(.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 (.f64 y z) x)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) (neg.f64 x)) (neg.f64 y))
(.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 (.f64 y z) x)))
(/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) (neg.f64 y))
(.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 (.f64 y z) x)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y)) (neg.f64 z))
(.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 (.f64 y z) x)))
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal 1 binary64)) z)
(.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 (.f64 y z) x)))
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.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 (.f64 y z) x)))
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (sqrt.f64 z)) (sqrt.f64 z))
(.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 (.f64 y z) x)))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1 binary64)) y)
(.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 (.f64 y z) x)))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.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 (.f64 y z) x)))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) (sqrt.f64 y)) (sqrt.f64 y))
(.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 (.f64 y z) x)))
(pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 1 binary64))
(.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 (.f64 y z) x)))
(pow.f64 (cbrt.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal 3 binary64))
(.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 (.f64 y z) x)))
(pow.f64 (pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.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 (.f64 y z) x)))
(pow.f64 (sqrt.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal 2 binary64))
(.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 (.f64 y z) x)))
(sqrt.f64 (pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64)))
(.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 (.f64 y z) x)))
(log.f64 (exp.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(.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 (.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))))))
(.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 (.f64 y z) x)))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64)))
(.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 (.f64 y z) x)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) #s(literal 3 binary64))))
(.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 (.f64 y z) x)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(.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 (.f64 y z) x)))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (.f64 y z) x)))))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(.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 (.f64 y z) x)))
(exp.f64 (log.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))))
(.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 (.f64 y z) x)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)))) #s(literal 1 binary64)))
(.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 (.f64 y z) x)))
(+.f64 #s(literal 0 binary64) (*.f64 t #s(literal 1/324 binary64)))
(*.f64 t #s(literal 1/324 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64))) (cbrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/324 binary64)) t)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/324 binary64)) t)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/324 binary64)) t))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/324 binary64)) t))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t #s(literal 1/324 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 t #s(literal 1/324 binary64))))
(pow.f64 (*.f64 t #s(literal 1/324 binary64)) #s(literal 1 binary64))
(*.f64 t #s(literal 1/324 binary64))
(pow.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(*.f64 t #s(literal 1/324 binary64))
(pow.f64 (cbrt.f64 (*.f64 t #s(literal 1/324 binary64))) #s(literal 3 binary64))
(*.f64 t #s(literal 1/324 binary64))
(pow.f64 (*.f64 (pow.f64 t #s(literal 2 binary64)) #s(literal 1/104976 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 t #s(literal 2 binary64)) #s(literal 1/104976 binary64)))
(fabs.f64 (*.f64 t #s(literal 1/324 binary64)))
(pow.f64 (pow.f64 (*.f64 t #s(literal 1/324 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 t #s(literal 1/324 binary64))
(sqrt.f64 (*.f64 (pow.f64 t #s(literal 2 binary64)) #s(literal 1/104976 binary64)))
(fabs.f64 (*.f64 t #s(literal 1/324 binary64)))
(log.f64 (pow.f64 (exp.f64 t) #s(literal 1/324 binary64)))
(*.f64 t #s(literal 1/324 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t #s(literal 1/324 binary64)))))
(*.f64 t #s(literal 1/324 binary64))
(cbrt.f64 (pow.f64 (*.f64 t #s(literal 1/324 binary64)) #s(literal 3 binary64)))
(*.f64 t #s(literal 1/324 binary64))
(expm1.f64 (log1p.f64 (*.f64 t #s(literal 1/324 binary64))))
(log1p.f64 (expm1.f64 (*.f64 t #s(literal 1/324 binary64))))
(*.f64 t #s(literal 1/324 binary64))
(exp.f64 (log.f64 (*.f64 t #s(literal 1/324 binary64))))
(*.f64 t #s(literal 1/324 binary64))
(exp.f64 (.f64 (log.f64 (.f64 t #s(literal 1/324 binary64))) #s(literal 1 binary64)))
(*.f64 t #s(literal 1/324 binary64))

eval39.0ms (0.3%)

Compiler: Compiled 6264 to 1302 computations (79.2% saved)

prune40.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	245	3	248

Accuracy

100.0%

Counts

248 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

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))))

✓

98.5%

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

✓

98.5%

(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))

Compiler

Compiled 141 to 96 computations (31.9% saved)

regimes33.0ms (0.3%)

Counts

5 → 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 (/.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))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))
(.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) (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))

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:

3.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
3.0ms	y
2.0ms	(sqrt.f64 t)
2.0ms	(*.f64 y #s(literal 27 binary64))

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)

regimes27.0ms (0.2%)

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 (/.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))))

(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))

Outputs
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))

Calls

13 calls:

4.0ms	x
3.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	(sqrt.f64 t)

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`
98.5%	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))))`
98.5%	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)))`
98.5%	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))`
98.5%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.5%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.5%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.5%	1	`(*.f64 y #s(literal 27 binary64))`
98.5%	1	`(*.f64 z #s(literal 2 binary64))`
98.5%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes21.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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 (/.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))))

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

13 calls:

3.0ms	t
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	(*.f64 z #s(literal 2 binary64))
1.0ms	(sqrt.f64 t)
1.0ms	z

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`
98.5%	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))))`
98.5%	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)))`
98.5%	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))`
98.5%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.5%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.5%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.5%	1	`(*.f64 y #s(literal 27 binary64))`
98.5%	1	`(*.f64 z #s(literal 2 binary64))`
98.5%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	171
1	49	171

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))))

(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))))

(*.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))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) 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)))))

soundness545.0ms (4.2%)

Rules

869×	`log1p-expm1-u`
782×	`log1p-expm1-u`
782×	`expm1-log1p-u`
712×	`log-prod`
694×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	530
1	504	524
2	6471	524
0	21	187
1	249	187
2	3308	187
0	100	1040
1	292	920
2	999	824
3	3700	824
4	4379	824
5	5515	824
6	7072	824

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 404 to 172 computations (57.4% saved)

preprocess57.0ms (0.4%)

Remove: (sort y z)
Compiler: Compiled 264 to 194 computations (26.5% saved)

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

analyze449.0ms (3.5%)

sample6.4s (49.9%)

preprocess188.0ms (1.5%)

explain142.0ms (1.1%)

eval1.0ms (0%)

prune100.0ms (0.8%)

simplify14.0ms (0.1%)

localize55.0ms (0.4%)

series76.0ms (0.6%)

rewrite275.0ms (2.1%)

simplify417.0ms (3.2%)

eval124.0ms (1%)

prune132.0ms (1%)

simplify37.0ms (0.3%)

localize290.0ms (2.3%)

series545.0ms (4.2%)

rewrite334.0ms (2.6%)

simplify1.3s (10%)

eval60.0ms (0.5%)

prune99.0ms (0.8%)

simplify246.0ms (1.9%)

localize144.0ms (1.1%)

series44.0ms (0.3%)

rewrite164.0ms (1.3%)

simplify458.0ms (3.6%)

eval39.0ms (0.3%)

prune40.0ms (0.3%)

regimes33.0ms (0.3%)

regimes27.0ms (0.2%)

regimes21.0ms (0.2%)

simplify3.0ms (0%)

soundness545.0ms (4.2%)

preprocess57.0ms (0.4%)

end0.0ms (0%)

Profiling