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

analyze443.0ms (2.8%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-mult: 108.0ms (46.3% of total)

ival-div: 69.0ms (29.5% of total)

ival-sqrt: 27.0ms (11.6% of total)

ival-acos: 21.0ms (9% of total)

const: 7.0ms (3% of total)

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

sample6.3s (39.3%)

Results

2.9s	15364×	0	invalid
1.7s	8256×	0	valid

Precisions

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

ival-mult: 1.7s (50.9% of total)

ival-div: 1.1s (32.2% of total)

ival-sqrt: 251.0ms (7.5% of total)

ival-acos: 227.0ms (6.8% of total)

const: 73.0ms (2.2% of total)

backward-pass: 10.0ms (0.3% of total)

Bogosity

preprocess154.0ms (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)

explain657.0ms (4.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
24	-	3	(-1.3626354525324258e-151 -1.3602668826128246e+162 -9.384257496898717e-74 6.80943967483659e-200)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
12	-	0	-	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
1	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`x`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	-	0	-	`(sqrt.f64 t)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`t`

Results

569.0ms

512×

valid

Compiler

Compiled 213 to 151 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 396.0ms

ival-mult: 328.0ms (82.9% of total)

ival-div: 48.0ms (12.1% of total)

ival-acos: 9.0ms (2.3% of total)

const: 6.0ms (1.5% of total)

ival-sqrt: 4.0ms (1% of total)

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

eval1.0ms (0%)

Compiler: Compiled 49 to 34 computations (30.6% 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)

localize81.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
✓	accuracy	99.6%	(*.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 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
✓	accuracy	91.7%	(/.f64 (/.f64 x y) z)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

47.0ms

256×

valid

Compiler

Compiled 62 to 25 computations (59.7% saved)

Precisions

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

ival-mult: 13.0ms (46.2% of total)

ival-div: 7.0ms (24.9% of total)

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

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

const: 1.0ms (3.6% of total)

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

series38.0ms (0.2%)

Counts

5 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
5.0ms	t	@	-inf	(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
3.0ms	t	@	-inf	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
3.0ms	y	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms	x	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
1.0ms	t	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))

rewrite613.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

5 → 150

Calls

Call 1

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

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

simplify592.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

366 → 207

Calls

Call 1

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

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

eval178.0ms (1.1%)

Compiler: Compiled 4769 to 2630 computations (44.9% saved)

prune77.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	203	4	207
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	203	5	208

Accuracy

100.0%

Counts

208 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(.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))))
▶	97.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
▶	91.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (expm1.f64 (log1p.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
▶	97.5%	(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))

Compiler

Compiled 92 to 72 computations (21.7% saved)

localize688.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	12800	(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t)))
✓	cost-diff	12800	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (expm1.f64 (log1p.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
✓	cost-diff	12864	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
✓	accuracy	95.6%	(.f64 (.f64 #s(literal 1/18 binary64) (expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))) (sqrt.f64 t))
✓	accuracy	95.6%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	93.5%	(/.f64 x (*.f64 y z))
✓	accuracy	93.5%	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))

Rules

766×	`fma-define`
493×	`distribute-lft-neg-in`
487×	`cancel-sign-sub-inv`
462×	`distribute-rgt-neg-in`
373×	`distribute-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	1117
1	73	1117
2	150	1107
3	276	1077
4	414	1077
5	895	1077
6	1629	1077
7	3754	1077
8	6068	1077
9	7948	1077

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

300.0ms	239×	0	valid
14.0ms	17×	0	invalid

Compiler

Compiled 295 to 112 computations (62% saved)

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-div: 65.0ms (31.3% of total)

ival-mult: 64.0ms (30.8% of total)

ival-pow: 27.0ms (13% of total)

ival-acos: 25.0ms (12% of total)

ival-exp: 9.0ms (4.3% of total)

const: 5.0ms (2.4% of total)

ival-cbrt: 3.0ms (1.4% of total)

ival-log: 3.0ms (1.4% of total)

ival-expm1: 2.0ms (1% of total)

ival-log1p: 2.0ms (1% of total)

ival-sqrt: 2.0ms (1% of total)

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

series131.0ms (0.8%)

Counts

8 → 324

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* 1/3 (acos (* (* 1/18 (- (exp (log (+ 1 (/ x (* y z))))) 1)) (sqrt t))))
0.0ms	x	@	-inf	(* (* 1/18 (- (exp (log (+ 1 (/ x (* y z))))) 1)) (sqrt t))
0.0ms	y	@	inf	(* (/ x (* y z)) (* 1/18 (sqrt t)))
0.0ms	z	@	-inf	(/ (* x 1/18) (* y z))
0.0ms	t	@	-inf	(* 1/3 (cbrt (pow (acos (* (/ x (* y z)) (* 1/18 (sqrt t)))) 3)))

rewrite352.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1065×	`log1p-expm1-u`
456×	`expm1-log1p-u`
363×	`prod-diff`
173×	`associate-r`
157×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	324
1	453	324
2	4893	324

Stop Event

1×	node limit

Counts

8 → 271

Calls

Call 1

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

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

simplify397.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-define`
312×	`cube-prod`
258×	`exp-prod`
251×	`distribute-lft-neg-in`
242×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	26790
1	1044	26188
2	3054	26152

Stop Event

1×	node limit

Counts

595 → 261

Calls

Call 1

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

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

eval107.0ms (0.7%)

Compiler: Compiled 8853 to 5339 computations (39.7% saved)

prune87.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	412	2	414
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	413	6	419

Accuracy

100.0%

Counts

419 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64))))
✓	99.0%	(.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))))
✓	97.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
✓	91.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (expm1.f64 (log1p.f64 (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
▶	97.7%	(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))

Compiler

Compiled 113 to 89 computations (21.2% saved)

localize434.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64))
✓	cost-diff	0	(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64)))
✓	cost-diff	12864	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64))))
✓	accuracy	95.6%	(.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))
✓	accuracy	94.2%	(.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64))))
✓	accuracy	92.3%	(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y)
✓	accuracy	90.9%	(/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)

Rules

48×	`*-commutative`
40×	`associate-l`
34×	`associate-r`
28×	`associate-*r/`
26×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	660
1	56	660
2	93	660
3	158	660
4	229	660
5	291	660
6	305	660

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) x) y)))
(.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))
(sqrt.f64 t)
t
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y)
(*.f64 (/.f64 #s(literal 1/18 binary64) z) x)
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
x
y
#s(literal 2 binary64)
#s(literal 1/9 binary64)
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64))
(acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z))
(/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)
(.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64))))
(/.f64 x y)
x
y
(sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))
(*.f64 t #s(literal 1/324 binary64))
t
#s(literal 1/324 binary64)
z
#s(literal 3 binary64)

Outputs
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(.f64 (pow.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z))) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64))
(pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (acos.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 2 binary64))
(pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) z))) #s(literal 2 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) x) y)))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))))
(acos.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) z)))
(.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))
(.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)))
(.f64 (.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))
(.f64 (sqrt.f64 t) (/.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) z))
(sqrt.f64 t)
t
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y)
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z)
(*.f64 (/.f64 #s(literal 1/18 binary64) z) x)
(*.f64 #s(literal 1/18 binary64) (/.f64 x z))
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
x
y
#s(literal 2 binary64)
#s(literal 1/9 binary64)
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))) z) y))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (/.f64 x (.f64 z y)))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64)))
(acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))
(acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z) y)))
(acos.f64 (.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (/.f64 x (*.f64 z y))))
(pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z) y))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64))
(acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z))
(acos.f64 (.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z)))
(acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z) y)))
(acos.f64 (.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (/.f64 x (*.f64 z y))))
(/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)
(.f64 (/.f64 x y) (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z))
(.f64 x (/.f64 (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) z) y))
(.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) (/.f64 x (*.f64 z y)))
(.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64))))
(.f64 x (/.f64 (sqrt.f64 (.f64 t #s(literal 1/324 binary64))) y))
(/.f64 x y)
x
y
(sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))
(*.f64 t #s(literal 1/324 binary64))
t
#s(literal 1/324 binary64)
z
#s(literal 3 binary64)

Results

350.0ms

256×

valid

Compiler

Compiled 183 to 110 computations (39.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-pow: 53.0ms (29.2% of total)

ival-mult: 48.0ms (26.5% of total)

ival-div: 36.0ms (19.9% of total)

ival-acos: 18.0ms (9.9% of total)

ival-sqrt: 17.0ms (9.4% of total)

ival-cbrt: 5.0ms (2.8% of total)

const: 4.0ms (2.2% of total)

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

series47.0ms (0.3%)

Counts

8 → 360

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)>
#<alt (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y)>
#<alt (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64))))>
#<alt (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))>
#<alt (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))>
#<alt (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64))>

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

Calls

90 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(cbrt (pow (acos (/ (* (/ x y) (sqrt (* t 1/324))) z)) 3))
3.0ms	t	@	inf	(/ (* (/ x y) (sqrt (* t 1/324))) z)
3.0ms	z	@	inf	(/ (* (/ x y) (sqrt (* t 1/324))) z)
2.0ms	t	@	-inf	(/ (* (/ x y) (sqrt (* t 1/324))) z)
1.0ms	x	@	0	(* (/ x y) (sqrt (* t 1/324)))

rewrite217.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`log1p-expm1-u`
210×	`associate-r`
202×	`expm1-log1p-u`
200×	`add-exp-log`
200×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	346
1	494	346
2	6313	346

Stop Event

1×	node limit

Counts

8 → 290

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y)
(.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64))))
(.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (.f64 (/.f64 x y) (sqrt.f64 (.f64 t #s(literal 1/324 binary64)))) z)) #s(literal 3 binary64)))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1 binary64))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))
(.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (/.f64 x y) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 t)))
(.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) (sqrt.f64 t))
(.f64 (sqrt.f64 t) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) (sqrt.f64 t)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) (cbrt.f64 (.f64 t (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 t (pow.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 2 binary64)))) (cbrt.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))
(.f64 (cbrt.f64 (.f64 (.f64 t #s(literal 1/324 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))
(.f64 (cbrt.f64 (.f64 (.f64 t #s(literal 1/324 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (/.f64 #s(literal 1 binary64) z)))
(.f64 (cbrt.f64 t) (.f64 (cbrt.f64 (sqrt.f64 t)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(.f64 (sqrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) (.f64 (sqrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) (sqrt.f64 t)))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) (sqrt.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (.f64 (sqrt.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 (/.f64 x y) (neg.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(.f64 (.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) (/.f64 x y))
(.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (cbrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 t) (sqrt.f64 y)) (/.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 y)))
(.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (cbrt.f64 z)))
(.f64 (/.f64 (/.f64 x y) (sqrt.f64 z)) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (sqrt.f64 z)))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (sqrt.f64 z)) (/.f64 (/.f64 x y) (sqrt.f64 z)))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 1 binary64)) (/.f64 (/.f64 x y) z))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 t #s(literal 1/324 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 t #s(literal 1/324 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 t #s(literal 1/324 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (cbrt.f64 z)))
(.f64 (.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t)))
(.f64 (.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(.f64 (.f64 (sqrt.f64 t) (sqrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))) (sqrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(pow.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 z (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (neg.f64 z)))
(neg.f64 (/.f64 (.f64 (/.f64 x y) (neg.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))
(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 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))) #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))))
(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 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))
(exp.f64 (log.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #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 (/.f64 #s(literal 1/18 binary64) z) y))
(.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(.f64 (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 z #s(literal 2 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) z)) (/.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) y))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (sqrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) z)) (/.f64 x y)))
(.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z)) (/.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) y))
(.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z)) (.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x (neg.f64 (/.f64 #s(literal 1/18 binary64) z))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x #s(literal 1/18 binary64)) z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/18 binary64) z) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (cbrt.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) y))
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(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (pow.f64 (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(exp.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))

simplify346.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

782×	`cube-prod`
733×	`fma-define`
658×	`exp-prod`
470×	`associate-r`
457×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	618	31409
1	1473	30829
2	5840	30789

Stop Event

1×	node limit

Counts

650 → 357

Calls

Call 1

Inputs
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x y)))
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(pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 2 binary64))
(fabs.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (pow.f64 (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(exp.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z))))
(neg.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/324 binary64))) (.f64 y z))))
(.f64 (sqrt.f64 t) (neg.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64))) (/.f64 (/.f64 x y) z))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z))))
(neg.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/324 binary64))) (.f64 y z))))
(.f64 (sqrt.f64 t) (neg.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64))) (/.f64 (/.f64 x y) z))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z))))
(neg.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/324 binary64))) (.f64 y z))))
(.f64 (sqrt.f64 t) (neg.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64))) (/.f64 (/.f64 x y) z))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64)))) (*.f64 y z))))
(neg.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/324 binary64))) (.f64 y z))))
(.f64 (sqrt.f64 t) (neg.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/324 binary64))) (/.f64 (/.f64 x y) z))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) (/.f64 x y)))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
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(log1p.f64 (expm1.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(exp.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 1 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))
(pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 2 binary64))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 2 binary64)) #s(literal 3 binary64))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))
(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(pow.f64 (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (pow.f64 (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64))))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))

eval148.0ms (0.9%)

Compiler: Compiled 8242 to 5238 computations (36.4% saved)

prune69.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	356	1	357
Fresh	0	0	0
Picked	1	1	2
Done	1	3	4
Total	358	5	363

Accuracy

100.0%

Counts

363 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1 binary64)))
✓	99.0%	(.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))))
✓	97.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
✓	97.7%	(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))

Compiler

Compiled 94 to 74 computations (21.3% saved)

localize396.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
✓	cost-diff	0	(acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))
✓	cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1 binary64))
✓	cost-diff	6528	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 1/18 binary64) z)
✓	accuracy	95.6%	(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
✓	accuracy	91.6%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))

Rules

9323×	`associate-+r+`
1348×	`+-commutative`
1122×	`associate-+l+`
53×	`fma-define`
46×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	277
1	41	275
2	75	269
3	130	269
4	214	269
5	350	269
6	566	269
7	590	269
8	590	269
9	946	269
10	1023	269
11	1023	269
12	1023	269
13	2124	269
14	2375	269
15	2375	269
16	2375	269
17	5982	269
18	6002	269
19	6002	269
20	6002	269
21	6800	269
22	6800	269
23	6800	269

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

84.0ms

256×

valid

Compiler

Compiled 79 to 43 computations (45.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 14.0ms (23.4% of total)

ival-sqrt: 13.0ms (21.7% of total)

ival-div: 12.0ms (20.1% of total)

ival-fma: 9.0ms (15% of total)

ival-acos: 8.0ms (13.4% of total)

const: 2.0ms (3.3% of total)

ival-add: 1.0ms (1.7% of total)

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

series20.0ms (0.1%)

Counts

6 → 228

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	t	@	-inf	(* (sqrt t) (* (/ x y) (/ 1/18 z)))
0.0ms	z	@	0	(/ 1/18 z)
0.0ms	z	@	-inf	(/ 1/18 z)
0.0ms	z	@	inf	(/ 1/18 z)
0.0ms	t	@	-inf	(+ (* 1/3 (acos (* (sqrt t) (* (/ x y) (/ 1/18 z))))) 1)

rewrite229.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`log1p-expm1-u`
902×	`expm1-log1p-u`
253×	`expm1-undefine`
252×	`log1p-undefine`
153×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	236
1	293	234
2	3886	230

Stop Event

1×	node limit

Counts

6 → 200

Calls

Call 1

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

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

simplify542.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-define`
598×	`cube-prod`
391×	`exp-prod`
340×	`swap-sqr`
287×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	20591
1	1021	19891
2	4164	19679

Stop Event

1×	node limit

Counts

428 → 278

Calls

Call 1

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

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

eval263.0ms (1.7%)

Compiler: Compiled 7056 to 4543 computations (35.6% saved)

prune180.0ms (1.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	276	2	278
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	276	7	283

Accuracy

100.0%

Counts

283 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)) y)) #s(literal 1 binary64)))
✓	99.2%	(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1 binary64)))
	95.3%	(+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t))))) #s(literal 1 binary64)))
✓	99.0%	(.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))))
✓	97.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
✓	97.7%	(sqrt.f64 (.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))

Compiler

Compiled 311 to 222 computations (28.6% saved)

regimes271.0ms (1.7%)

Counts

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

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

Calls

13 calls:

182.0ms	(*.f64 y #s(literal 27 binary64))
56.0ms	y
4.0ms	x
3.0ms	(sqrt.f64 t)
3.0ms	(*.f64 z #s(literal 2 binary64))

Results

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

Compiler

Compiled 135 to 109 computations (19.3% saved)

regimes136.0ms (0.9%)

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

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

Calls

13 calls:

59.0ms	(*.f64 z #s(literal 2 binary64))
57.0ms	t
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	(sqrt.f64 t)
2.0ms	z

Results

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

Compiler

Compiled 135 to 109 computations (19.3% saved)

regimes82.0ms (0.5%)

Accuracy

Total -2.2b remaining (-146.3%)

Threshold costs -2.2b (-146.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

13 calls:

60.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
2.0ms	x
2.0ms	(sqrt.f64 t)
2.0ms	t

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`y`
97.7%	1	`z`
97.7%	1	`t`
97.7%	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))))`
97.7%	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)))`
97.7%	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))`
97.7%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
97.7%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
97.7%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
97.7%	1	`(*.f64 y #s(literal 27 binary64))`
97.7%	1	`(*.f64 z #s(literal 2 binary64))`
97.7%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 109 computations (19.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
3×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	169
1	50	169

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

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

soundness1.6s (10%)

Rules

1065×	`log1p-expm1-u`
994×	`log1p-expm1-u`
902×	`log1p-expm1-u`
902×	`expm1-log1p-u`
782×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	346
1	494	346
2	6313	346
0	32	324
1	453	324
2	4893	324
0	21	187
1	249	187
2	3308	187
0	25	236
1	293	234
2	3886	230
0	100	1040
1	292	920
2	999	824
3	3700	824
4	4379	824
5	5515	824
6	7072	824
0	618	31409
1	1473	30829
2	5840	30789

Stop Event

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

Compiler

Compiled 591 to 389 computations (34.2% saved)

preprocess99.0ms (0.6%)

Compiler: Compiled 306 to 236 computations (22.9% saved)

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

analyze443.0ms (2.8%)

sample6.3s (39.3%)

preprocess154.0ms (1%)

explain657.0ms (4.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize81.0ms (0.5%)

series38.0ms (0.2%)

rewrite613.0ms (3.8%)

simplify592.0ms (3.7%)

eval178.0ms (1.1%)

prune77.0ms (0.5%)

localize688.0ms (4.3%)

series131.0ms (0.8%)

rewrite352.0ms (2.2%)

simplify397.0ms (2.5%)

eval107.0ms (0.7%)

prune87.0ms (0.5%)

localize434.0ms (2.7%)

series47.0ms (0.3%)

rewrite217.0ms (1.4%)

simplify346.0ms (2.2%)

eval148.0ms (0.9%)

prune69.0ms (0.4%)

localize396.0ms (2.5%)

series20.0ms (0.1%)

rewrite229.0ms (1.4%)

simplify542.0ms (3.4%)

eval263.0ms (1.7%)

prune180.0ms (1.1%)

regimes271.0ms (1.7%)

regimes136.0ms (0.9%)

regimes82.0ms (0.5%)

simplify5.0ms (0%)

soundness1.6s (10%)

preprocess99.0ms (0.6%)

end0.0ms (0%)

Profiling