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

analyze443.0ms (4.2%)

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 20 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 104.0ms (45.7% of total)

ival-div: 66.0ms (29% of total)

ival-sqrt: 27.0ms (11.9% of total)

ival-acos: 22.0ms (9.7% of total)

const: 8.0ms (3.5% of total)

sample5.8s (54.8%)

Results

2.4s	15626×	0	invalid
1.7s	8256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-mult: 980.0ms (39.4% of total)

ival-div: 962.0ms (38.7% of total)

ival-acos: 261.0ms (10.5% of total)

ival-sqrt: 192.0ms (7.7% of total)

const: 79.0ms (3.2% of total)

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

Bogosity

preprocess157.0ms (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)

explain320.0ms (3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
24	0	-	4	(1.9313672797526025e-202 -2.5031437976463215e+119 6.068703436652656e-269 2.2638371313833802e+26)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
20	1	(2.084985686579149e-153 -1.2367664763483679e-45 3.0879491224525526e+235 8.645299039429105e+43)	3	(3.769348189364318e+30 -3.5847657831824954e+137 1.481103431168195e+202 1.2008470723096402e+99)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
1	0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	0	-	0	-	`x`
0	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	-	0	-	`(sqrt.f64 t)`
0	0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	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	-	0	-	`z`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	0	-	0	-	`#s(literal 27 binary64)`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`t`

Results

219.0ms

512×

256

valid

Compiler

Compiled 213 to 151 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-mult: 73.0ms (48.4% of total)

ival-div: 53.0ms (35.1% of total)

ival-acos: 14.0ms (9.3% of total)

const: 6.0ms (4% of total)

ival-sqrt: 4.0ms (2.7% of total)

eval1.0ms (0%)

Compiler: Compiled 49 to 34 computations (30.6% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (.f64 z #s(literal 2 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

▶

97.7%

(*.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))))))

▶

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 36 to 28 computations (22.2% saved)

localize249.0ms (2.4%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2 binary64)))
✓	99.5%	(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
✓	98.5%	(.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))))))
✓	87.0%	(.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2 binary64))))
✓	99.6%	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
✓	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))))
✓	93.9%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
✓	91.7%	(/.f64 (/.f64 x y) z)

Results

109.0ms

256×

256

valid

Compiler

Compiled 128 to 57 computations (55.5% saved)

Precisions

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

ival-mult: 38.0ms (56.5% of total)

ival-div: 14.0ms (20.8% of total)

ival-acos: 11.0ms (16.3% of total)

const: 3.0ms (4.5% of total)

ival-sqrt: 2.0ms (3% of total)

series92.0ms (0.9%)

Counts

8 → 288

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 x y) z)>
#<alt (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))>
#<alt (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2 binary64))))>
#<alt (.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))))))>
#<alt (*.f64 #s(literal 1/9 binary64) (/.f64 x y))>
#<alt (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2 binary64)))>

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

Calls

78 calls:

Time	Variable		Point	Expression
36.0ms	t	@	0	(/ (sqrt t) (* z 2))
8.0ms	x	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
4.0ms	y	@	0	(* 1/9 (/ x y))
3.0ms	t	@	-inf	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms	x	@	inf	(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))

rewrite413.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`log1p-expm1-u`
334×	`expm1-log1p-u`
184×	`associate-r`
174×	`add-exp-log`
174×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	288
1	385	288
2	5405	288

Stop Event

1×	node limit

Counts

8 → 216

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) z)
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(.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 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2 binary64)))

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

simplify341.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

438×	`cube-prod`
389×	`exp-prod`
372×	`swap-sqr`
346×	`fma-define`
280×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	524	19009
1	1232	18521
2	4189	18521

Stop Event

1×	node limit

Counts

504 → 270

Calls

Call 1

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

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

eval82.0ms (0.8%)

Compiler: Compiled 4695 to 2813 computations (40.1% saved)

prune58.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	267	3	270
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	268	4	272

Accuracy

100.0%

Counts

272 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(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))
▶	100.0%	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 1/18 binary64)))) #s(literal 1 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))))
▶	97.3%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize302.0ms (2.9%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	98.5%	(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))
✓	98.5%	(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))))))
✓	94.3%	(/.f64 x (*.f64 y z))
✓	94.0%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	100.0%	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 1/18 binary64)))) #s(literal 1 binary64)))
✓	99.5%	(.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) #s(literal 1/18 binary64))
✓	93.9%	(/.f64 (sqrt.f64 t) (*.f64 y z))
✓	93.8%	(.f64 x (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 1/18 binary64)))
✓	99.6%	(/.f64 (sqrt.f64 t) z)
✓	99.6%	(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))
✓	86.8%	(*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))

Results

236.0ms

256×

256

valid

Compiler

Compiled 225 to 87 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 60.0ms (48.9% of total)

ival-acos: 25.0ms (20.4% of total)

ival-div: 11.0ms (9% of total)

composed: 8.0ms (6.5% of total)

ival-add: 4.0ms (3.3% of total)

ival-cbrt: 4.0ms (3.3% of total)

const: 4.0ms (3.3% of total)

ival-pow: 4.0ms (3.3% of total)

ival-sqrt: 2.0ms (1.6% of total)

series210.0ms (2%)

Counts

12 → 480

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
55.0ms	y	@	inf	(cbrt (* 1/3 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
47.0ms	t	@	0	(cbrt (* 1/3 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
36.0ms	y	@	-inf	(pow (cbrt (* 1/3 (acos (* (/ x (* y z)) (* 1/18 (sqrt t)))))) 3)
5.0ms	x	@	0	(cbrt (* 1/3 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
2.0ms	z	@	0	(cbrt (* 1/3 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))

rewrite416.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

273×	`associate-r`
248×	`log1p-expm1-u`
248×	`expm1-log1p-u`
246×	`add-cube-cbrt`
245×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	471
1	571	469
2	7971	469

Stop Event

1×	node limit

Counts

12 → 438

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z))))) #s(literal 1 binary64))
(/.f64 x (*.f64 y (/.f64 z (sqrt.f64 t))))
(/.f64 x (*.f64 (/.f64 z (sqrt.f64 t)) y))
(/.f64 (/.f64 x y) (/.f64 z (sqrt.f64 t)))
(/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z x)))
(/.f64 (sqrt.f64 t) (*.f64 (/.f64 y x) z))
(/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 z (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 x (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 x y) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 y z))
(/.f64 (neg.f64 x) (*.f64 (/.f64 z (sqrt.f64 t)) (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) z)
(/.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) y)
(/.f64 (.f64 (neg.f64 (sqrt.f64 t)) #s(literal 1 binary64)) (.f64 (neg.f64 z) (/.f64 y x)))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) (/.f64 z (sqrt.f64 t))))
(/.f64 (.f64 x (neg.f64 (sqrt.f64 t))) (.f64 z (neg.f64 y)))
(/.f64 (.f64 (neg.f64 x) (sqrt.f64 t)) (.f64 z (neg.f64 y)))
(/.f64 (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 t))) (.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (.f64 (sqrt.f64 t) (neg.f64 x)) (.f64 z (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 t)) x) (.f64 z (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 x)) (.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) (.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (sqrt.f64 t))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 x (/.f64 z (sqrt.f64 t)))) (neg.f64 y))
(/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) z)
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (sqrt.f64 t))) (neg.f64 z))
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 t) z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (/.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 (.f64 x (sqrt.f64 t)) #s(literal 1 binary64)) (.f64 y z))
(/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (cbrt.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y z)))
(/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (sqrt.f64 (.f64 y z))) (sqrt.f64 (*.f64 y z)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 (sqrt.f64 t) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z))))))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 t) (.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) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 t) z) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z)))))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z)))))
(exp.f64 (log.f64 (.f64 x (/.f64 (sqrt.f64 t) (.f64 y z)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))))
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(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 (*.f64 y z))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 y z))) (/.f64 x (sqrt.f64 (*.f64 y z))))
(*.f64 (/.f64 #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 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (.f64 y z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x (*.f64 y z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))
(.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (.f64 y z)))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y z))))
(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.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 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) 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 y (/.f64 z x)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 z (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))))
(.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x)))))))
(.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) (cbrt.f64 #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/6 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x)))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))) #s(literal 1/3 binary64)))
(pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))))
(exp.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x)))))) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))
(.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x)))))
(.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))))
(.f64 (cbrt.f64 #s(literal 1/3 binary64)) (.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/6 binary64)) (.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) (.f64 (sqrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))))
(.f64 (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) (sqrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/6 binary64))) (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/6 binary64)))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (.f64 #s(literal 1/18 binary64) x))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))))) #s(literal 1 binary64)))

simplify522.0ms (5%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-define`
550×	`cube-prod`
489×	`exp-prod`
355×	`associate-r`
345×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	780	39936
1	1721	39366
2	5415	39322

Stop Event

1×	node limit

Counts

918 → 476

Calls

Call 1

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

eval184.0ms (1.7%)

Compiler: Compiled 9857 to 5696 computations (42.2% saved)

prune101.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	476	0	476
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	476	4	480

Accuracy

100.0%

Counts

480 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(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))
✓	100.0%	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 1/18 binary64)))) #s(literal 1 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))))
✓	97.3%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))

Compiler

Compiled 170 to 122 computations (28.2% saved)

regimes30.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) 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 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (.f64 z #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 1/18 binary64)))) #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))

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

Calls

13 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	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))))`
100.0%	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)))`
100.0%	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))`
100.0%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
100.0%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
100.0%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
100.0%	1	`(*.f64 y #s(literal 27 binary64))`
100.0%	1	`(*.f64 z #s(literal 2 binary64))`
100.0%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 109 computations (19.3% saved)

regimes25.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

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 109 computations (19.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

0.0ms	(sqrt.f64 t)
0.0ms	t
0.0ms	z
0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`
97.3%	1	`t`
97.3%	1	`(sqrt.f64 t)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
3×	`1-exp`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	161
1	51	161

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

soundness598.0ms (5.7%)

Rules

1258×	`log1p-expm1-u`
694×	`fma-define`
449×	`div-sub`
442×	`unsub-neg`
438×	`cube-prod`

Iterations

Useful iterations: 0 (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
0	524	19009
1	1232	18521
2	4189	18521
0	29	288
1	385	288
2	5405	288

Stop Event

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

Compiler

Compiled 219 to 141 computations (35.6% saved)

preprocess195.0ms (1.9%)

Remove: (sort y z)
Compiler: Compiled 260 to 198 computations (23.8% saved)

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

analyze443.0ms (4.2%)

sample5.8s (54.8%)

preprocess157.0ms (1.5%)

explain320.0ms (3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize249.0ms (2.4%)

series92.0ms (0.9%)

rewrite413.0ms (3.9%)

simplify341.0ms (3.2%)

eval82.0ms (0.8%)

prune58.0ms (0.5%)

localize302.0ms (2.9%)

series210.0ms (2%)

rewrite416.0ms (4%)

simplify522.0ms (5%)

eval184.0ms (1.7%)

prune101.0ms (1%)

regimes30.0ms (0.3%)

regimes25.0ms (0.2%)

regimes3.0ms (0%)

simplify4.0ms (0%)

soundness598.0ms (5.7%)

preprocess195.0ms (1.9%)

end0.0ms (0%)

Profiling