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

analyze446.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 19 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-mult: 97.0ms (43.5% of total)

ival-div: 69.0ms (30.9% of total)

ival-acos: 25.0ms (11.2% of total)

ival-sqrt: 23.0ms (10.3% of total)

const: 8.0ms (3.6% of total)

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

sample6.3s (41.2%)

Results

2.7s	15463×	0	invalid
1.6s	8256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-div: 1.3s (39.3% of total)

ival-mult: 1.3s (39.2% of total)

ival-acos: 341.0ms (10.7% of total)

ival-sqrt: 267.0ms (8.4% of total)

const: 68.0ms (2.1% of total)

backward-pass: 11.0ms (0.3% of total)

Bogosity

preprocess188.0ms (1.2%)

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)

explain228.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
33	-	4	(-3.6272523762227434e-99 -3.0499382092886597e+222 -1.249627195280454e-68 2.4820819048826102e+113)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
14	-	4	(6.350781964228025e-88 -6.513509341245249e+239 -3.088980666989937e-8 8.91992465710117e+35)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
0	-	0	-	`x`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	-	0	-	`(sqrt.f64 t)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`t`

Results

120.0ms

512×

valid

Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 17.0ms (41.4% of total)

ival-div: 12.0ms (29.3% of total)

ival-acos: 5.0ms (12.2% of total)

ival-sqrt: 4.0ms (9.8% of total)

const: 2.0ms (4.9% of total)

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize132.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
✓	accuracy	95.7%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
✓	accuracy	89.2%	(/.f64 (/.f64 x y) z)

Results

39.0ms

256×

valid

Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

...c/correct-round.rkt:119:19: 7.0ms (32.4% of total)

ival-mult: 5.0ms (23.1% of total)

ival-div: 4.0ms (18.5% of total)

ival-acos: 3.0ms (13.9% of total)

ival-sqrt: 2.0ms (9.3% of total)

const: 0.0ms (0% of total)

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

series46.0ms (0.3%)

Counts

5 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(acos (* (* 1/18 (/ (/ x y) z)) (sqrt t)))
3.0ms	z	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms	x	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms	t	@	-inf	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
1.0ms	y	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))

rewrite350.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

5 → 150

Calls

Call 1

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

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

simplify362.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

366 → 198

Calls

Call 1

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

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

eval28.0ms (0.2%)

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

prune32.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	194	4	198
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	195	4	199

Accuracy

100.0%

Counts

199 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 2 binary64))
▶	98.5%	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
▶	100.0%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
▶	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 76 to 60 computations (21.1% saved)

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
✓	cost-diff	0	(sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 2 binary64))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
✓	cost-diff	0	(log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
✓	cost-diff	12800	(expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
✓	cost-diff	12800	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
✓	cost-diff	0	(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
✓	cost-diff	12864	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Rules

864×	`sub-neg`
401×	`fma-define`
380×	`distribute-neg-in`
373×	`+-commutative`
330×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	1148
1	67	1148
2	139	1148
3	255	1148
4	325	1148
5	440	1148
6	1128	1148
7	1691	1148
8	3865	1148
9	6620	1148

Stop Event

1×	node limit

Calls

Call 1

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

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

localize176.0ms (1.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 2 binary64))
✓	accuracy	98.5%	(sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
✓	accuracy	95.8%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	92.5%	(/.f64 x (*.f64 y z))
✓	accuracy	99.4%	(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
✓	accuracy	95.8%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	92.5%	(/.f64 x (*.f64 y z))
✓	accuracy	98.4%	(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
✓	accuracy	98.4%	(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
✓	accuracy	95.8%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	92.5%	(/.f64 x (*.f64 y z))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/18 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	accuracy	95.7%	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	accuracy	92.4%	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))

Results

114.0ms

256×

valid

Compiler

Compiled 311 to 29 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 16.0ms (27% of total)

...c/correct-round.rkt:119:19: 10.0ms (16.9% of total)

ival-pow: 10.0ms (16.9% of total)

ival-acos: 5.0ms (8.4% of total)

ival-log1p: 5.0ms (8.4% of total)

ival-div: 4.0ms (6.7% of total)

ival-sqrt: 4.0ms (6.7% of total)

ival-expm1: 3.0ms (5.1% of total)

ival-cbrt: 3.0ms (5.1% of total)

const: 1.0ms (1.7% of total)

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

series737.0ms (4.8%)

Counts

18 → 724

Calls

Call 1

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

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

Calls

192 calls:

Time	Variable		Point	Expression
242.0ms	t	@	-inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
165.0ms	y	@	inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
93.0ms	x	@	0	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
25.0ms	x	@	-inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
23.0ms	y	@	-inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))

rewrite386.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1130×	`log1p-expm1-u`
323×	`expm1-log1p-u`
199×	`associate-r`
185×	`pow1`
184×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	746
1	481	746
2	5715	746

Stop Event

1×	node limit

Counts

18 → 514

Calls

Call 1

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

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

simplify1.1s (7.2%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-define`
610×	`cube-prod`
496×	`exp-prod`
401×	`associate-r`
358×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	665	68022
1	1424	64546
2	4744	64050

Stop Event

1×	node limit

Counts

1238 → 444

Calls

Call 1

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

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

eval114.0ms (0.7%)

Compiler: Compiled 12826 to 2278 computations (82.2% saved)

prune247.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	576	2	578
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	577	5	582

Accuracy

100.0%

Counts

582 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 2 binary64))
▶	100.0%	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
▶	98.1%	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 97 to 76 computations (21.6% saved)

simplify417.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
✓	cost-diff	0	(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)))
✓	cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64))
✓	cost-diff	6528	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
✓	cost-diff	0	(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
✓	cost-diff	0	(+.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (+.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	256	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))

Rules

3768×	`associate-+r-`
1872×	`fma-define`
873×	`distribute-lft-in`
785×	`+-commutative`
550×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	652
1	63	622
2	135	622
3	308	622
4	623	622
5	1468	622
6	2225	622
7	2593	622
8	2889	622
9	3264	622
10	3556	622
11	3578	622
12	4457	622
13	4696	622
14	5279	622
15	5449	622
16	5833	622
17	5861	622
18	5887	622
19	5917	622
20	5954	622
21	5987	622
22	6022	622
23	6610	622
24	6908	622
25	7334	622
26	7710	622
27	7710	622
28	7710	622
29	7871	622
30	7871	622
31	7871	622
32	7871	622
33	7871	622
34	7871	622

Stop Event

1×	node limit

Calls

Call 1

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

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

localize120.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
✓	accuracy	99.6%	(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
✓	accuracy	96.3%	(/.f64 (sqrt.f64 t) (*.f64 y z))
✓	accuracy	92.7%	(.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) x)
✓	accuracy	99.6%	(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	95.8%	(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))
✓	accuracy	89.9%	(/.f64 (/.f64 x z) y)

Results

83.0ms

256×

valid

Compiler

Compiled 174 to 25 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 11.0ms (25.8% of total)

ival-div: 9.0ms (21.1% of total)

...c/correct-round.rkt:119:19: 7.0ms (16.4% of total)

ival-acos: 5.0ms (11.7% of total)

ival-add: 3.0ms (7% of total)

ival-fma: 3.0ms (7% of total)

ival-sqrt: 3.0ms (7% of total)

ival-sub: 1.0ms (2.3% of total)

const: 1.0ms (2.3% of total)

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

series175.0ms (1.1%)

Counts

13 → 600

Calls

Call 1

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

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

Calls

150 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(+ (acos (* 1/18 (* (sqrt t) (/ (/ x z) y)))) 1)
1.0ms	t	@	-inf	(/ (sqrt t) (* y z))
1.0ms	y	@	0	(/ (sqrt t) (* y z))
1.0ms	z	@	0	(/ (sqrt t) (* y z))
1.0ms	t	@	0	(/ (sqrt t) (* y z))

rewrite301.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

375×	`prod-diff`
374×	`log1p-expm1-u`
221×	`expm1-log1p-u`
217×	`add-exp-log`
217×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	571
1	484	541
2	7084	541

Stop Event

1×	node limit

Counts

13 → 542

Calls

Call 1

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

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

simplify857.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-neg`
404×	`cube-prod`
344×	`exp-prod`
283×	`associate-r`
259×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	749	63762
1	1694	60762
2	5688	60334

Stop Event

1×	node limit

Counts

1142 → 449

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z))) y)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z))) y)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z))) y)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z))) y)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x)))))
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eval63.0ms (0.4%)

Compiler: Compiled 12186 to 2248 computations (81.6% saved)

prune71.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	448	1	449
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	448	6	454

Accuracy

100.0%

Counts

454 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 2 binary64))
▶	97.6%	(+.f64 (.f64 (+.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
✓	100.0%	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
✓	98.1%	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 118 to 93 computations (21.2% saved)

simplify459.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

10878×	`associate-+r+`
1435×	`+-commutative`
1116×	`associate-+l+`
842×	`fma-define`
48×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	346
1	43	346
2	80	340
3	143	334
4	204	334
5	300	334
6	410	334
7	589	334
8	645	334
9	657	334
10	659	334
11	659	334
12	1035	334
13	1169	334
14	1185	334
15	1201	334
16	1203	334
17	1203	334
18	1203	334
19	2323	334
20	2445	334
21	2466	334
22	2508	334
23	2530	334
24	2532	334
25	2786	334
26	2786	334
27	2786	334
28	6269	334
29	6539	334
30	6569	334
31	6627	334
32	6687	334
33	6751	334
34	6784	334
35	6786	334
36	6786	334
37	7646	334
38	7646	334
39	7646	334

Stop Event

1×	node limit

Calls

Call 1

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

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

localize206.0ms (1.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (+.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.7%	(/.f64 (sqrt.f64 t) z)
✓	accuracy	99.6%	(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
✓	accuracy	88.0%	(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))

Results

186.0ms

256×

valid

Compiler

Compiled 96 to 18 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

...c/correct-round.rkt:119:19: 11.0ms (38.9% of total)

ival-mult: 5.0ms (17.7% of total)

ival-div: 4.0ms (14.2% of total)

ival-add: 3.0ms (10.6% of total)

ival-acos: 3.0ms (10.6% of total)

ival-sqrt: 2.0ms (7.1% of total)

const: 1.0ms (3.5% of total)

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

series31.0ms (0.2%)

Counts

7 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite190.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1045×	`log1p-expm1-u`
716×	`expm1-log1p-u`
313×	`prod-diff`
143×	`add-exp-log`
143×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	305
1	325	305
2	4470	305

Stop Event

1×	node limit

Counts

7 → 236

Calls

Call 1

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

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

simplify439.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

484×	`distribute-lft-neg-in`
458×	`distribute-rgt-neg-in`
338×	`cube-prod`
286×	`exp-prod`
277×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	561	27752
1	1282	27146
2	4271	26718

Stop Event

1×	node limit

Counts

548 → 338

Calls

Call 1

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

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

eval46.0ms (0.3%)

Compiler: Compiled 9041 to 1738 computations (80.8% saved)

prune61.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	337	1	338
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	339	5	344

Accuracy

100.0%

Counts

344 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 2 binary64))
	100.0%	(-.f64 (.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))) #s(literal 1/3 binary64))
✓	98.1%	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 261 to 150 computations (42.5% saved)

regimes49.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

13 calls:

6.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
4.0ms	t
4.0ms	(sqrt.f64 t)
4.0ms	(*.f64 y #s(literal 27 binary64))
4.0ms	(*.f64 z #s(literal 2 binary64))

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 108 computations (20% saved)

regimes26.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	y
2.0ms	x
2.0ms	(sqrt.f64 t)
2.0ms	t
2.0ms	z

Results

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

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes7.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

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

11×	`*-commutative`
3×	`1-exp`
3×	`+-commutative`
2×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	165
1	53	165
2	57	165
3	59	165
4	60	165

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

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

soundness672.0ms (4.4%)

Rules

1130×	`log1p-expm1-u`
782×	`log1p-expm1-u`
782×	`expm1-log1p-u`
712×	`log-prod`
694×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	571
1	484	541
2	7084	541
0	36	746
1	481	746
2	5715	746
0	21	187
1	249	187
2	3308	187
0	100	1040
1	292	920
2	999	824
3	3700	824
4	4379	824
5	5515	824
6	7072	824

Stop Event

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

Compiler

Compiled 480 to 183 computations (61.9% saved)

preprocess121.0ms (0.8%)

Remove: (sort y z)
Compiler: Compiled 350 to 250 computations (28.6% saved)

analyze446.0ms (2.9%)

sample6.3s (41.2%)

preprocess188.0ms (1.2%)

explain228.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.1%)

localize132.0ms (0.9%)

series46.0ms (0.3%)

rewrite350.0ms (2.3%)

simplify362.0ms (2.4%)

eval28.0ms (0.2%)

prune32.0ms (0.2%)

simplify104.0ms (0.7%)

localize176.0ms (1.1%)

series737.0ms (4.8%)

rewrite386.0ms (2.5%)

simplify1.1s (7.2%)

eval114.0ms (0.7%)

prune247.0ms (1.6%)

simplify417.0ms (2.7%)

localize120.0ms (0.8%)

series175.0ms (1.1%)

rewrite301.0ms (2%)

simplify857.0ms (5.6%)

eval63.0ms (0.4%)

prune71.0ms (0.5%)

simplify459.0ms (3%)

localize206.0ms (1.3%)

series31.0ms (0.2%)

rewrite190.0ms (1.2%)

simplify439.0ms (2.9%)

eval46.0ms (0.3%)

prune61.0ms (0.4%)

regimes49.0ms (0.3%)

regimes26.0ms (0.2%)

regimes7.0ms (0%)

simplify4.0ms (0%)

soundness672.0ms (4.4%)

preprocess121.0ms (0.8%)

end0.0ms (0%)

Profiling