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

analyze556.0ms (3.6%)

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: 278.0ms

ival-mult: 155.0ms (55.8% of total)

ival-div: 60.0ms (21.6% of total)

ival-acos: 32.0ms (11.5% of total)

ival-sqrt: 24.0ms (8.6% of total)

const: 7.0ms (2.5% of total)

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

sample6.2s (39.7%)

Results

2.5s	15948×	0	invalid
2.2s	8256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-mult: 1.6s (47.2% of total)

ival-div: 1.0s (29.6% of total)

ival-sqrt: 455.0ms (13.2% of total)

ival-acos: 275.0ms (8% of total)

const: 64.0ms (1.9% of total)

backward-pass: 6.0ms (0.2% of total)

Bogosity

preprocess159.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort y z)

explain332.0ms (2.1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
17	0	-	5	(1.2064418736485166e-127 -3.676583485977511e+117 6.495113806247648e+73 1.2655609728203052e+66)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
13	0	-	3	(1.3140657576498409e-117 -1.8039273279826883e+198 -2.591065309818978e-16 4.1684409507316504e+89)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
0	0	-	0	-	`t`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	1	(2.5682819192190754e-101 -4.4921253940906755e+221 2.6453672547979487e-55 1.3962495217986337e+141)	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	0	-	0	-	`y`
0	0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	0	-	0	-	`#s(literal 27 binary64)`
0	0	-	0	-	`z`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	0	-	0	-	`(sqrt.f64 t)`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.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))`	*nu**	12	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	8	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	39
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	38
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	2	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	2
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	2
`*.f64`	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	2	0
-	21	233

Precision

0.08695652173913043

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	21	0	233

Precision?

0.08695652173913043

Recall?

1.0

Freqs

test

number	freq
0	233
1	23

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Results

166.0ms

512×

valid

Compiler

Compiled 236 to 74 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 48.0ms (61.9% of total)

ival-mult: 18.0ms (23.2% of total)

ival-acos: 5.0ms (6.5% of total)

ival-sqrt: 5.0ms (6.5% of total)

const: 2.0ms (2.6% 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
▶	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify19.0ms (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

localize57.0ms (0.4%)

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	95.6%	(/.f64 (/.f64 x y) z)
✓	accuracy	94.9%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))

Results

44.0ms

256×

valid

Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

...c/correct-round.rkt:121:19: 7.0ms (33.5% of total)

ival-mult: 5.0ms (23.9% of total)

ival-div: 4.0ms (19.2% of total)

ival-sqrt: 2.0ms (9.6% of total)

ival-acos: 2.0ms (9.6% of total)

const: 0.0ms (0% of total)

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

series58.0ms (0.4%)

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
26.0ms	z	@	inf	(* (* 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	t	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))

rewrite361.0ms (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))))
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(*.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)))

simplify321.0ms (2.1%)

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

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	3	199

Accuracy

100.0%

Counts

199 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))

Status

Accuracy

Program

▶

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 56 to 44 computations (21.4% saved)

simplify124.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 12 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	(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

855×	`sub-neg`
406×	`neg-sub0`
397×	`fma-define`
383×	`distribute-neg-in`
371×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	829
1	63	829
2	135	829
3	252	829
4	322	829
5	436	829
6	1112	829
7	1679	829
8	3827	829
9	6554	829
10	7982	829

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

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

localize158.0ms (1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	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	95.1%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	91.2%	(/.f64 x (*.f64 y z))
✓	accuracy	98.5%	(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
✓	accuracy	98.4%	(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
✓	accuracy	95.1%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	91.2%	(/.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	94.9%	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	accuracy	91.2%	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))

Results

115.0ms

256×

valid

Compiler

Compiled 226 to 25 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-cbrt: 16.0ms (25.4% of total)

ival-mult: 14.0ms (22.2% of total)

...c/correct-round.rkt:121:19: 8.0ms (12.7% of total)

ival-div: 5.0ms (7.9% of total)

ival-acos: 5.0ms (7.9% of total)

ival-log1p: 5.0ms (7.9% of total)

ival-pow: 4.0ms (6.4% of total)

ival-expm1: 3.0ms (4.8% of total)

ival-sqrt: 2.0ms (3.2% of total)

const: 0.0ms (0% of total)

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

series569.0ms (3.6%)

Counts

15 → 580

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

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

156 calls:

Time	Variable		Point	Expression
154.0ms	x	@	inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
125.0ms	t	@	-inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
44.0ms	x	@	0	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
43.0ms	y	@	inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
24.0ms	x	@	-inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))

rewrite315.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1083×	`log1p-expm1-u`
472×	`expm1-log1p-u`
191×	`associate-r`
175×	`add-exp-log`
175×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	589
1	436	589
2	5446	589

Stop Event

1×	node limit

Counts

15 → 444

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

simplify1.2s (7.9%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-define`
549×	`cube-prod`
496×	`exp-prod`
378×	`swap-sqr`
373×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	583	47424
1	1313	46424
2	4545	46216

Stop Event

1×	node limit

Counts

1024 → 359

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
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(log1p.f64 (expm1.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))
(exp.f64 (log.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))) #s(literal 1 binary64))
(.f64 (log1p.f64 (acos.f64 (.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (log1p.f64 (acos.f64 (.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))
(.f64 (cbrt.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (acos.f64 (.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))))
(.f64 (sqrt.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (sqrt.f64 (log1p.f64 (acos.f64 (.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))))
(pow.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #s(literal 2 binary64)))
(log.f64 (+.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))))
(exp.f64 (log.f64 (log1p.f64 (acos.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (acos.f64 (.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) #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 x) #s(literal 1/18 binary64)))
(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) y) z))
(*.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) y) z)))
(*.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) y) z)))
(.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) y) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 y z))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 y z))) (/.f64 x (sqrt.f64 (*.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (.f64 y z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.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) y) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))
(.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (.f64 y z)))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y z))))
(pow.f64 (/.f64 (/.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 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #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 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (.f64 t #s(literal 1/324 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))) #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 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))
(exp.f64 (log.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #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 #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)))))
(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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 y z)))))
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(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
(pow.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
(pow.f64 (pow.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (.f64 t #s(literal 1/324 binary64))))
(sqrt.f64 (.f64 (pow.f64 (/.f64 x (.f64 y z)) #s(literal 2 binary64)) (*.f64 t #s(literal 1/324 binary64))))
(sqrt.f64 (.f64 t (pow.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) #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 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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 (.f64 #s(literal 1/5832 binary64) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64))) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1/5832 binary64)) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 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 (.f64 #s(literal 1/5832 binary64) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64))) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1/5832 binary64)) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
(exp.f64 (log.f64 (.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(.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))))
(+.f64 #s(literal -1 binary64) (fma.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))
(.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 #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))
(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))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 t) #s(literal 1 binary64)))
(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))

eval83.0ms (0.5%)

Compiler: Compiled 9181 to 1876 computations (79.6% saved)

prune118.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	426	2	428
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	426	5	431

Accuracy

100.0%

Counts

431 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)))
▶	98.5%	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #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)))))))
✓	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 97 to 76 computations (21.6% saved)

simplify411.0ms (2.6%)

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

Rules

3821×	`associate-+r-`
1872×	`fma-define`
877×	`distribute-lft-in`
782×	`+-commutative`
550×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	643
1	63	613
2	142	613
3	335	613
4	626	613
5	1459	613
6	2189	613
7	2558	613
8	2850	613
9	3230	613
10	3522	613
11	3544	613
12	4450	613
13	4689	613
14	5271	613
15	5436	613
16	5820	613
17	5848	613
18	5874	613
19	5904	613
20	5941	613
21	5974	613
22	6009	613
23	6597	613
24	6895	613
25	7321	613
26	7697	613
27	7697	613
28	7697	613
29	7858	613
30	7858	613
31	7858	613
32	7858	613
33	7858	613
34	7858	613

Stop Event

1×	node limit

Calls

Call 1

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

localize119.0ms (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	95.8%	(/.f64 (sqrt.f64 t) (*.f64 y z))
✓	accuracy	92.4%	(.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) x)
✓	accuracy	99.4%	(/.f64 #s(literal 1/18 binary64) z)
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	96.1%	(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))
✓	accuracy	92.4%	(.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))

Results

80.0ms

256×

valid

Compiler

Compiled 174 to 25 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 17.0ms (37.1% of total)

...c/correct-round.rkt:121:19: 9.0ms (19.6% of total)

ival-div: 6.0ms (13.1% of total)

ival-acos: 5.0ms (10.9% of total)

ival-add: 3.0ms (6.5% of total)

ival-fma: 3.0ms (6.5% of total)

ival-sqrt: 2.0ms (4.4% of total)

ival-sub: 1.0ms (2.2% of total)

const: 1.0ms (2.2% of total)

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

series58.0ms (0.4%)

Counts

13 → 552

Calls

Call 1

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

141 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(+ (acos (* x (* (/ (/ 1/18 z) y) (sqrt t)))) 1)
2.0ms	y	@	-inf	(* x (* (/ (/ 1/18 z) y) (sqrt t)))
1.0ms	t	@	-inf	(* (/ (/ 1/18 z) y) (sqrt t))
1.0ms	z	@	0	(* (/ (/ 1/18 z) y) (sqrt t))
1.0ms	y	@	0	(* (/ (/ 1/18 z) y) (sqrt t))

rewrite380.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

380×	`log1p-expm1-u`
348×	`prod-diff`
220×	`expm1-log1p-u`
216×	`add-exp-log`
216×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	556
1	485	526
2	6975	526

Stop Event

1×	node limit

Counts

13 → 484

Calls

Call 1

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

simplify838.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

622×	`fma-neg`
430×	`cube-prod`
347×	`exp-prod`
321×	`associate-l`
310×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	701	60016
1	1518	57204
2	5477	56784

Stop Event

1×	node limit

Counts

1036 → 451

Calls

Call 1

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

eval66.0ms (0.4%)

Compiler: Compiled 12309 to 2163 computations (82.4% saved)

prune68.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	450	1	451
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	452	4	456

Accuracy

100.0%

Counts

456 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 z y))))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
✓	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 77 to 61 computations (20.8% saved)

simplify537.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

10122×	`associate-+r+`
1394×	`+-commutative`
1157×	`associate-+l+`
842×	`fma-define`
38×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	341
1	44	341
2	84	335
3	177	329
4	279	329
5	339	329
6	417	329
7	615	329
8	674	329
9	686	329
10	688	329
11	688	329
12	1097	329
13	1232	329
14	1248	329
15	1264	329
16	1266	329
17	1266	329
18	1266	329
19	2443	329
20	2565	329
21	2586	329
22	2628	329
23	2650	329
24	2652	329
25	2891	329
26	2891	329
27	2891	329
28	6483	329
29	6753	329
30	6783	329
31	6841	329
32	6901	329
33	6965	329
34	6998	329
35	7000	329
36	7000	329
37	7830	329
38	7830	329
39	7830	329

Stop Event

1×	node limit

Calls

Call 1

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

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

localize95.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 z y))))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
✓	accuracy	94.9%	(.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
✓	accuracy	91.5%	(.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 z y)))

Results

50.0ms

256×

valid

Compiler

Compiled 96 to 18 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

...c/correct-round.rkt:121:19: 10.0ms (35% of total)

ival-mult: 7.0ms (24.5% of total)

ival-div: 3.0ms (10.5% of total)

ival-add: 3.0ms (10.5% of total)

ival-acos: 3.0ms (10.5% of total)

ival-sqrt: 2.0ms (7% of total)

const: 0.0ms (0% of total)

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

series35.0ms (0.2%)

Counts

6 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
9.0ms	t	@	0	(acos (* (sqrt t) (* x (/ 1/18 (* z y)))))
4.0ms	t	@	-inf	(acos (* (sqrt t) (* x (/ 1/18 (* z y)))))
1.0ms	t	@	-inf	(+ (* (+ (acos (* (sqrt t) (* x (/ 1/18 (* z y))))) 1) 1/3) -1/3)
1.0ms	t	@	0	(+ (* (+ (acos (* (sqrt t) (* x (/ 1/18 (* z y))))) 1) 1/3) -1/3)
1.0ms	y	@	-inf	(+ (* (+ (acos (* (sqrt t) (* x (/ 1/18 (* z y))))) 1) 1/3) -1/3)

rewrite173.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`log1p-expm1-u`
922×	`expm1-log1p-u`
271×	`prod-diff`
242×	`fma-define`
186×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	243
1	317	243
2	4044	243

Stop Event

1×	node limit

Counts

6 → 200

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))
(.f64 (sqrt.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))
(.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)) #s(literal -1/9 binary64))))))
(.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)) #s(literal -1/9 binary64)))) (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal -1/9 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)) #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/3 binary64) (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))))
(pow.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))
(exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (cbrt.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))) #s(literal -1/3 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))) (.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (sqrt.f64 (fma.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))) #s(literal -1/3 binary64))
(fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))) #s(literal -1/3 binary64))
(fma.f64 (.f64 #s(literal 1/3 binary64) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))) #s(literal -1/3 binary64))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (asin.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal -1 binary64))))
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(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) (.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))))
(cbrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(log1p.f64 (expm1.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(exp.f64 (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(fma.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(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 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(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 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))) #s(literal 1 binary64))
(/.f64 (.f64 (sqrt.f64 t) x) (.f64 z (/.f64 y #s(literal 1/18 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1 binary64)) (*.f64 z (/.f64 y #s(literal 1/18 binary64))))
(/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 z y))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (*.f64 z (neg.f64 y)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) z)) y)
(/.f64 (.f64 (.f64 x #s(literal 1/18 binary64)) (sqrt.f64 t)) (*.f64 z y))
(pow.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 t (pow.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) #s(literal 1 binary64))
(/.f64 x (*.f64 z (/.f64 y #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 z y))
(/.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) (.f64 z (neg.f64 y)))
(/.f64 (.f64 x #s(literal -1/18 binary64)) (.f64 z (neg.f64 y)))
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) y)
(/.f64 (.f64 #s(literal -1/18 binary64) x) (.f64 z (neg.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)
(/.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (.f64 z y))
(/.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 (.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z y)))
(/.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (sqrt.f64 (.f64 z y))) (sqrt.f64 (*.f64 z y)))
(pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (neg.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1/18 binary64))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 z y)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 1 binary64)))

simplify354.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

638×	`fma-define`
316×	`distribute-lft-in`
292×	`cube-prod`
245×	`distribute-lft-neg-out`
235×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	23478
1	979	22930
2	3239	21716

Stop Event

1×	node limit

Counts

452 → 273

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

eval38.0ms (0.2%)

Compiler: Compiled 7617 to 1386 computations (81.8% saved)

prune52.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	273	4	277

Accuracy

100.0%

Counts

277 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 (+.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 z y))))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
✓	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 207 to 127 computations (38.6% saved)

regimes82.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

13 calls:

43.0ms	(*.f64 z #s(literal 2 binary64))
5.0ms	x
3.0ms	t
3.0ms	(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
3.0ms	z

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)

regimes37.0ms (0.2%)

Counts

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

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) (*.f64 y z)) x))) #s(literal 1 binary64)))

Calls

13 calls:

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

regimes33.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

13 calls:

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

regimes9.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

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)

regimes8.0ms (0.1%)

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:

3.0ms	y
1.0ms	t
1.0ms	(sqrt.f64 t)
1.0ms	z
1.0ms	x

Results

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

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	285
1	76	285

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (9.3%)

Rules

1083×	`log1p-expm1-u`
851×	`fma-define`
782×	`log1p-expm1-u`
782×	`expm1-log1p-u`
712×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	556
1	485	526
2	6975	526
0	583	47424
1	1313	46424
2	4545	46216
0	32	589
1	436	589
2	5446	589
0	100	1040
1	292	920
2	999	824
3	3700	824
4	4379	824
5	5515	824
6	7072	824
0	21	187
1	249	187
2	3308	187

Stop Event

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

Compiler

Compiled 879 to 301 computations (65.8% saved)

preprocess57.0ms (0.4%)

Remove: (sort y z)
Compiler: Compiled 446 to 314 computations (29.6% saved)

analyze556.0ms (3.6%)

sample6.2s (39.7%)

preprocess159.0ms (1%)

explain332.0ms (2.1%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.1%)

localize57.0ms (0.4%)

series58.0ms (0.4%)

rewrite361.0ms (2.3%)

simplify321.0ms (2.1%)

eval28.0ms (0.2%)

prune32.0ms (0.2%)

simplify124.0ms (0.8%)

localize158.0ms (1%)

series569.0ms (3.6%)

rewrite315.0ms (2%)

simplify1.2s (7.9%)

eval83.0ms (0.5%)

prune118.0ms (0.8%)

simplify411.0ms (2.6%)

localize119.0ms (0.8%)

series58.0ms (0.4%)

rewrite380.0ms (2.4%)

simplify838.0ms (5.4%)

eval66.0ms (0.4%)

prune68.0ms (0.4%)

simplify537.0ms (3.4%)

localize95.0ms (0.6%)

series35.0ms (0.2%)

rewrite173.0ms (1.1%)

simplify354.0ms (2.3%)

eval38.0ms (0.2%)

prune52.0ms (0.3%)

regimes82.0ms (0.5%)

regimes37.0ms (0.2%)

regimes33.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

simplify4.0ms (0%)

soundness1.5s (9.3%)

preprocess57.0ms (0.4%)

end0.0ms (0%)

Profiling