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

analyze431.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 19 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-mult: 89.0ms (41.5% of total)

ival-div: 70.0ms (32.7% of total)

ival-sqrt: 25.0ms (11.7% of total)

ival-acos: 22.0ms (10.3% of total)

const: 7.0ms (3.3% of total)

backward-pass: 1.0ms (0.5% of total)

sample6.0s (41%)

Results

3.2s	15566×	0	invalid
1.3s	8256×	0	valid

Precisions

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

ival-mult: 1.5s (45.3% of total)

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

ival-acos: 469.0ms (13.9% of total)

ival-sqrt: 223.0ms (6.6% of total)

const: 60.0ms (1.8% of total)

backward-pass: 5.0ms (0.1% of total)

Bogosity

preprocess156.0ms (1.1%)

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)

explain176.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
28	-	3	(7.819981527446421e-216 -2.5197463126409874e+102 5.672351140707116e-70 1.506428167304217e-300)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
17	-	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))`
0	-	0	-	`x`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	-	0	-	`(sqrt.f64 t)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`t`

Results

118.0ms

512×

valid

Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions

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

ival-mult: 18.0ms (42.1% of total)

ival-div: 14.0ms (32.7% of total)

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

ival-sqrt: 4.0ms (9.4% of total)

const: 1.0ms (2.3% of total)

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize57.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
✓	accuracy	94.2%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
✓	accuracy	90.3%	(/.f64 (/.f64 x y) z)

Results

44.0ms

256×

valid

Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

...c/correct-round.rkt:121:19: 12.0ms (45.9% of total)

ival-mult: 5.0ms (19.1% of total)

ival-div: 4.0ms (15.3% of total)

ival-sqrt: 2.0ms (7.7% of total)

ival-acos: 2.0ms (7.7% of total)

const: 0.0ms (0% of total)

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

series256.0ms (1.7%)

Counts

5 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
225.0ms	y	@	inf	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
3.0ms	z	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms	x	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms	t	@	-inf	(* (* 1/18 (/ (/ x y) z)) (sqrt t))
1.0ms	t	@	0	(* (* 1/18 (/ (/ x y) z)) (sqrt t))

rewrite445.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

5 → 150

Calls

Call 1

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

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

simplify679.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

366 → 198

Calls

Call 1

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

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

eval28.0ms (0.2%)

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

prune35.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	193	5	198
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	193	6	199

Accuracy

100.0%

Counts

199 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(.f64 #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 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
▶	97.0%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
▶	97.7%	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
▶	99.2%	(.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))))
▶	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	97.9%	(.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 287 to 189 computations (34.1% saved)

simplify146.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	0	(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))
✓	cost-diff	0	(/.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 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
✓	cost-diff	0	(sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))
✓	cost-diff	0	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
✓	cost-diff	128	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
✓	cost-diff	0	(log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
✓	cost-diff	12800	(expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
✓	cost-diff	12800	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
✓	cost-diff	0	(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
✓	cost-diff	12864	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))

Rules

667×	`fma-define`
628×	`times-frac`
539×	`distribute-lft-neg-in`
434×	`distribute-rgt-neg-in`
403×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	2289
1	123	2289
2	280	2289
3	642	2285
4	1464	2285
5	2465	2285
6	4630	2285
7	6820	2285

Stop Event

1×	node limit

Calls

Call 1

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

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

localize507.0ms (3.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(.f64 #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 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
✓	accuracy	98.4%	(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))
✓	accuracy	94.2%	(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
✓	accuracy	90.3%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
✓	accuracy	98.5%	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
✓	accuracy	94.2%	(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
✓	accuracy	90.3%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
✓	accuracy	99.3%	(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
✓	accuracy	94.1%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	91.4%	(/.f64 x (*.f64 y z))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/18 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	accuracy	94.2%	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	accuracy	91.4%	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	accuracy	98.4%	(pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
✓	accuracy	98.4%	(cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
✓	accuracy	94.1%	(.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	91.4%	(/.f64 x (*.f64 y z))

Results

327.0ms

256×

valid

Compiler

Compiled 606 to 50 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-fma: 129.0ms (58.6% of total)

ival-mult: 28.0ms (12.7% of total)

ival-pow: 14.0ms (6.4% of total)

ival-div: 9.0ms (4.1% of total)

...c/correct-round.rkt:121:19: 9.0ms (4.1% of total)

ival-acos: 7.0ms (3.2% of total)

ival-log: 6.0ms (2.7% of total)

ival-sqrt: 4.0ms (1.8% of total)

ival-log1p: 4.0ms (1.8% of total)

ival-expm1: 3.0ms (1.4% of total)

ival-exp: 2.0ms (0.9% of total)

ival-asin: 2.0ms (0.9% of total)

ival-cbrt: 2.0ms (0.9% of total)

ival-sub: 1.0ms (0.5% of total)

const: 1.0ms (0.5% of total)

ival-pi: 1.0ms (0.5% of total)

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

series1.7s (11.3%)

Counts

26 → 1000

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))>
#<alt (pow.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))>
#<alt (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))>
#<alt (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))>
#<alt (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))>
#<alt (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))>
#<alt (.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))>
#<alt (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))>
#<alt (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))>
#<alt (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))>
#<alt (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))>
#<alt (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))>
#<alt (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))>
#<alt (*.f64 (PI.f64) #s(literal 1/2 binary64))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (.f64 (/.f64 x (.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
#<alt (*.f64 x #s(literal 1/18 binary64))>
#<alt (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))>
#<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 1/3 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 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))>

Outputs
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
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#<alt (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (+.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (+.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (+.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (+.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (+.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (+.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (+.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (+.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (+.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 y z))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))>

Calls

261 calls:

Time	Variable		Point	Expression
219.0ms	x	@	0	(/ (- (pow (* (PI) 1/2) 3) (pow (asin (* (sqrt t) (* (/ x y) (/ 1/18 z)))) 3)) (+ (* (PI) (* 1/4 (PI))) (* (asin (* (sqrt t) (* (/ x y) (/ 1/18 z)))) (+ (* (PI) 1/2) (asin (* (sqrt t) (* (/ x y) (/ 1/18 z))))))))
180.0ms	x	@	0	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
164.0ms	z	@	inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
140.0ms	x	@	-inf	(/ (- (pow (* (PI) 1/2) 3) (pow (asin (* (sqrt t) (* (/ x y) (/ 1/18 z)))) 3)) (+ (* (PI) (* 1/4 (PI))) (* (asin (* (sqrt t) (* (/ x y) (/ 1/18 z)))) (+ (* (PI) 1/2) (asin (* (sqrt t) (* (/ x y) (/ 1/18 z))))))))
88.0ms	t	@	-inf	(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))

rewrite274.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

372×	`log1p-expm1-u`
371×	`expm1-log1p-u`
366×	`add-exp-log`
360×	`pow1`
356×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	1363
1	932	1357

Stop Event

1×	node limit

Counts

26 → 446

Calls

Call 1

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

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

simplify1.2s (8.4%)

Algorithm

1×	egg-herbie

Rules

694×	`distribute-lft-in`
453×	`exp-prod`
406×	`cube-prod`
357×	`associate-r`
345×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	719	88768
1	1368	86602
2	4783	86282

Stop Event

1×	node limit

Counts

1446 → 485

Calls

Call 1

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

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

eval80.0ms (0.5%)

Compiler: Compiled 16994 to 2248 computations (86.8% saved)

prune104.0ms (0.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	553	3	556
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	555	7	562

Accuracy

100.0%

Counts

562 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.7%	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
✓	99.2%	(.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))))
▶	99.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	97.9%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
▶	92.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z))) (sqrt.f64 t))))
▶	97.9%	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (.f64 (sqrt.f64 t) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z))))))

Compiler

Compiled 130 to 102 computations (21.5% saved)

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

473×	`times-frac`
460×	`sub-neg`
443×	`unsub-neg`
420×	`div-sub`
394×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	940
1	60	940
2	102	932
3	164	908
4	266	908
5	575	908
6	986	908
7	2236	908
8	4469	908
9	6016	908
10	7653	908

Stop Event

1×	node limit

Calls

Call 1

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

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

localize144.0ms (1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(pow.f64 (acos.f64 (.f64 (.f64 (sqrt.f64 t) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
✓	accuracy	98.5%	(cbrt.f64 (pow.f64 (acos.f64 (.f64 (.f64 (sqrt.f64 t) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)))
✓	accuracy	95.5%	(*.f64 (sqrt.f64 t) (/.f64 x y))
✓	accuracy	92.0%	(.f64 (.f64 (sqrt.f64 t) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z))
✓	accuracy	99.4%	(/.f64 #s(literal 1/18 binary64) y)
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z))) (sqrt.f64 t))))
✓	accuracy	94.2%	(.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) z))) (sqrt.f64 t))
✓	accuracy	90.2%	(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z)
✓	accuracy	99.5%	(/.f64 #s(literal 1/18 binary64) z)
✓	accuracy	98.5%	(cbrt.f64 (exp.f64 (acos.f64 (.f64 (.f64 (sqrt.f64 t) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z)))))
✓	accuracy	95.5%	(*.f64 (sqrt.f64 t) (/.f64 x y))
✓	accuracy	92.0%	(.f64 (.f64 (sqrt.f64 t) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z))

Results

88.0ms	242×	0	valid
4.0ms	14×	0	invalid

Compiler

Compiled 249 to 28 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 10.0ms (20.3% of total)

ival-div: 8.0ms (16.3% of total)

...c/correct-round.rkt:121:19: 8.0ms (16.3% of total)

ival-acos: 5.0ms (10.2% of total)

ival-pow: 4.0ms (8.1% of total)

ival-exp: 3.0ms (6.1% of total)

ival-cbrt: 3.0ms (6.1% of total)

ival-log: 3.0ms (6.1% of total)

ival-expm1: 2.0ms (4.1% of total)

ival-log1p: 2.0ms (4.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

const: 0.0ms (0% of total)

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

series483.0ms (3.3%)

Counts

16 → 604

Calls

Call 1

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

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

Calls

165 calls:

Time	Variable		Point	Expression
163.0ms	y	@	-inf	(log (cbrt (exp (acos (* (* (sqrt t) (/ x y)) (/ 1/18 z))))))
69.0ms	z	@	inf	(log (cbrt (exp (acos (* (* (sqrt t) (/ x y)) (/ 1/18 z))))))
32.0ms	t	@	0	(log (cbrt (exp (acos (* (* (sqrt t) (/ x y)) (/ 1/18 z))))))
29.0ms	x	@	-inf	(log (cbrt (exp (acos (* (* (sqrt t) (/ x y)) (/ 1/18 z))))))
24.0ms	t	@	-inf	(log (cbrt (exp (acos (* (* (sqrt t) (/ x y)) (/ 1/18 z))))))

rewrite310.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`log1p-expm1-u`
530×	`prod-diff`
209×	`associate-r`
208×	`expm1-log1p-u`
201×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	637
1	499	625
2	6092	625

Stop Event

1×	node limit

Counts

16 → 472

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1/6 binary64))) (log.f64 (pow.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1/6 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))
(.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(.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 binary64) (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))) (sqrt.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) (.f64 (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 2 binary64))) (cbrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))) (sqrt.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))
(pow.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))) #s(literal 2 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 2 binary64)) #s(literal 1/9 binary64)))
(cbrt.f64 (pow.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (exp.f64 (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) (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
(.f64 (pow.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1/6 binary64)) (pow.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 1/3 binary64)))
(pow.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))
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(sqrt.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))))
(exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1 binary64))
(/.f64 (.f64 (sqrt.f64 t) (/.f64 x y)) (.f64 z #s(literal 18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z)
(/.f64 (.f64 (sqrt.f64 t) x) (.f64 (*.f64 z #s(literal 18 binary64)) y))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y z))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1 binary64)) (.f64 y (.f64 z #s(literal 18 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 z y))
(/.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) (neg.f64 z))
(/.f64 (.f64 (.f64 (sqrt.f64 t) (/.f64 x y)) #s(literal -1/18 binary64)) (neg.f64 z))
(/.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (sqrt.f64 t) x)) y)
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) z)) y)
(/.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 x y))) (neg.f64 z))
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 t) (/.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 (sqrt.f64 t) (/.f64 x y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 t) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 t) x)))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (neg.f64 y))
(/.f64 (*.f64 (sqrt.f64 t) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 t) (/.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) z)) (cbrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/18 binary64))
(pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/18 binary64) z))
(sqrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/18 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/18 binary64) z))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) z)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/18 binary64) z)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/18 binary64) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/18 binary64) z)) #s(literal 1 binary64)))
(+.f64 (+.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(.f64 (/.f64 #s(literal 1/18 binary64) y) (.f64 x (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(.f64 (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) z))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (cbrt.f64 x) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(.f64 (sqrt.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y)) (/.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) z))
(.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y)) (.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(.f64 (.f64 (/.f64 #s(literal 1/18 binary64) y) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x #s(literal 1/18 binary64)) y))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) (sqrt.f64 z)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) z))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) #s(literal 2 binary64))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) z))
(.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) (cbrt.f64 z)))
(pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 z (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (neg.f64 x)) z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (cbrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/18 binary64))
(pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 18 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/18 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/18 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/18 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/18 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/18 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64)))

simplify541.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

887×	`cube-prod`
680×	`exp-prod`
537×	`associate-r`
524×	`associate-l`
416×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	810	55657
1	1746	52041
2	6423	52041

Stop Event

1×	node limit

Counts

1076 → 485

Calls

Call 1

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

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

eval96.0ms (0.7%)

Compiler: Compiled 15412 to 2724 computations (82.3% saved)

prune112.0ms (0.8%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	642	0	642
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	642	7	649

Accuracy

100.0%

Counts

649 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.7%	(.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (.f64 (/.f64 x (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
✓	99.2%	(.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))))
✓	99.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	97.9%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
✓	92.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z))) (sqrt.f64 t))))
✓	97.9%	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (.f64 (.f64 (sqrt.f64 t) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z))))))

Compiler

Compiled 326 to 184 computations (43.6% saved)

regimes86.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

13 calls:

43.0ms	x
5.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
4.0ms	(sqrt.f64 t)
4.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	(*.f64 y #s(literal 27 binary64))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`
99.4%	1	`t`
99.4%	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))))`
99.4%	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)))`
99.4%	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))`
99.4%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
99.4%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
99.4%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
99.4%	1	`(*.f64 y #s(literal 27 binary64))`
99.4%	1	`(*.f64 z #s(literal 2 binary64))`
99.4%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes30.0ms (0.2%)

Accuracy

Total -3.7b remaining (-276.7%)

Threshold costs -3.7b (-276.7%)

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

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

Calls

13 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`y`
97.9%	1	`z`
97.9%	1	`t`
97.9%	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))))`
97.9%	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)))`
97.9%	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))`
97.9%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
97.9%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
97.9%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
97.9%	1	`(*.f64 y #s(literal 27 binary64))`
97.9%	1	`(*.f64 z #s(literal 2 binary64))`
97.9%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	112
1	35	112

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

soundness393.0ms (2.7%)

Rules

782×	`log1p-expm1-u`
782×	`expm1-log1p-u`
712×	`log-prod`
694×	`fma-define`
449×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1040
1	292	920
2	999	824
3	3700	824
4	4379	824
5	5515	824
6	7072	824
0	58	1363
1	932	1357
0	21	187
1	249	187
2	3308	187

Stop Event

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

Compiler

Compiled 317 to 99 computations (68.8% saved)

preprocess48.0ms (0.3%)

Remove: (sort y z)
Compiler: Compiled 234 to 174 computations (25.6% saved)

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

analyze431.0ms (2.9%)

sample6.0s (41%)

preprocess156.0ms (1.1%)

explain176.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.1%)

localize57.0ms (0.4%)

series256.0ms (1.7%)

rewrite445.0ms (3%)

simplify679.0ms (4.6%)

eval28.0ms (0.2%)

prune35.0ms (0.2%)

simplify146.0ms (1%)

localize507.0ms (3.4%)

series1.7s (11.3%)

rewrite274.0ms (1.9%)

simplify1.2s (8.4%)

eval80.0ms (0.5%)

prune104.0ms (0.7%)

simplify135.0ms (0.9%)

localize144.0ms (1%)

series483.0ms (3.3%)

rewrite310.0ms (2.1%)

simplify541.0ms (3.7%)

eval96.0ms (0.7%)

prune112.0ms (0.8%)

regimes86.0ms (0.6%)

regimes30.0ms (0.2%)

simplify3.0ms (0%)

soundness393.0ms (2.7%)

preprocess48.0ms (0.3%)

end0.0ms (0%)

Profiling