Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.3s (26.7%)

Results

1.1s	1984×	body	1024	valid
902.0ms	5206×	body	256	valid
285.0ms	1058×	body	512	valid
8.0ms	8×	body	2048	valid

Bogosity

preprocess20.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

32×	`fma-def`
16×	`*-commutative`
8×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	92
1	41	92
2	53	92
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 y (cos.f64 x)) (.f64 z (sin.f64 x)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 y (cos.f64 x)) (.f64 z (sin.f64 x)))
(fma.f64 y (cos.f64 x) (*.f64 z (sin.f64 x)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 y (sin.f64 z)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def`
4×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	16	23
2	19	23

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

eval0.0ms (0%)

Compiler: Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Accurracy

99.8%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize66.0ms (0.8%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	99.8%	(*.f64 z (sin.f64 y))
✓	99.8%	(*.f64 x (cos.f64 y))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series7.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x (cos.f64 y))
1.0ms	z	@	0	(*.f64 z (sin.f64 y))
1.0ms	z	@	-inf	(*.f64 z (sin.f64 y))
0.0ms	y	@	0	(*.f64 x (cos.f64 y))
0.0ms	x	@	inf	(*.f64 x (cos.f64 y))

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`log-prod`
798×	`pow-prod-down`
730×	`fma-def`
576×	`pow-prod-up`
538×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	226	45
2	2967	45

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

Inputs
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Outputs
(+.f64 0 (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (cos.f64 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (cos.f64 y))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (sin.f64 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 x (.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) (neg.f64 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (neg.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (.f64 x (cos.f64 y)) 1 (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (sin.f64 y)) 1 (.f64 x (cos.f64 y)))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 1 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

976×	`unswap-sqr`
842×	`cancel-sign-sub-inv`
654×	`fma-neg`
578×	`associate-+r+`
548×	`difference-of-squares`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	4340
1	726	4242
2	2594	4236

Stop Event

1×	node limit

Counts

180 → 157

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 0 (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (cos.f64 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (cos.f64 y))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (sin.f64 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 x (.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) (neg.f64 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (neg.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (.f64 x (cos.f64 y)) 1 (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (sin.f64 y)) 1 (.f64 x (cos.f64 y)))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 1 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))

Outputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (*.f64 y x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (.f64 y y)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (.f64 y x)) x)))
(+.f64 (.f64 x (+.f64 (+.f64 (.f64 -1/720 (pow.f64 y 6)) (.f64 1/24 (pow.f64 y 4))) (.f64 -1/2 (*.f64 y y)))) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 1/120 (.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 z (+.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
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(pow.f64 (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) -1)
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(pow.f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 1))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1) 1))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 3))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1/3))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 x (cos.f64 y)) 1 (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 z (sin.f64 y)) 1 (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 1 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))

eval36.0ms (0.4%)

Compiler: Compiled 2482 to 827 computations (66.7% saved)

prune38.0ms (0.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	139	18	157
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	19	158

Accurracy

100.0%

Counts

158 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
	98.6%	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
	99.1%	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
	53.7%	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
▶	48.6%	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	76.8%	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	55.4%	(fma.f64 y z x)
	49.3%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
▶	98.6%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	53.5%	(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
▶	55.4%	(+.f64 (*.f64 y z) x)
	56.1%	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	66.2%	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	74.4%	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	79.1%	(+.f64 x (*.f64 z (sin.f64 y)))
	59.1%	(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	38.7%	(*.f64 z (sin.f64 y))

Compiler

Compiled 524 to 338 computations (35.5% saved)

localize64.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	99.8%	(*.f64 x (cos.f64 y))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	z	@	inf	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	y	@	-inf	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	y	@	0	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	z	@	0	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`log-prod`
820×	`exp-prod`
670×	`prod-exp`
650×	`pow-prod-down`
556×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	213	23
2	2506	23

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(+.f64 0 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)
(.f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 (sin.f64 y)) z)))
(log.f64 (.f64 (pow.f64 (exp.f64 (sin.f64 y)) z) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-neg`
834×	`fma-def`
688×	`associate-+r+`
638×	`associate-+l+`
518×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1880
1	289	1834
2	918	1828
3	3538	1786
4	7621	1786

Stop Event

1×	node limit

Counts

72 → 68

Calls

Call 1

Inputs
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(+.f64 0 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)
(.f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 (sin.f64 y)) z)))
(log.f64 (.f64 (pow.f64 (exp.f64 (sin.f64 y)) z) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))

Outputs
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (fma.f64 (.f64 (.f64 -1/2 y) y) x x))
(fma.f64 x (.f64 y (.f64 y -1/2)) (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 (.f64 (*.f64 -1/2 y) y) x x)))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (fma.f64 x (.f64 y (*.f64 y -1/2)) x))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 0 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (sin.f64 y) (.f64 z (*.f64 x (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (fma.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (fma.f64 (.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 x (neg.f64 (cos.f64 y)))))
(/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 (sin.f64 y)) z)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (.f64 (pow.f64 (exp.f64 (sin.f64 y)) z) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

localize21.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 y z) x)

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(+.f64 (*.f64 y z) x)
0.0ms	y	@	inf	(+.f64 (*.f64 y z) x)
0.0ms	z	@	inf	(+.f64 (*.f64 y z) x)
0.0ms	y	@	0	(+.f64 (*.f64 y z) x)
0.0ms	y	@	-inf	(+.f64 (*.f64 y z) x)

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`pow1`
1502×	`add-exp-log`
1502×	`log1p-expm1-u`
1502×	`expm1-log1p-u`
1472×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	9
2	2040	9

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (*.f64 y z) x)

Outputs
(-.f64 (+.f64 1 (fma.f64 y z x)) 1)
(-.f64 (/.f64 (pow.f64 (.f64 y z) 2) (fma.f64 y z (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 y z (neg.f64 x))))
(*.f64 (fma.f64 y z x) 1)
(*.f64 1 (fma.f64 y z x))
(*.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))
(*.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (*.f64 y z))))))
(.f64 (-.f64 (pow.f64 (.f64 y z) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y z (neg.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (.f64 y z)))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))))
(/.f64 1 (/.f64 (fma.f64 y z (neg.f64 x)) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (.f64 y z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 z (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (.f64 x x)) (fma.f64 y z (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (.f64 y z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) 2) (.f64 x x))) (neg.f64 (fma.f64 y z (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (-.f64 x (*.f64 y z)))
(pow.f64 (fma.f64 y z x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y z x)) 3)
(pow.f64 (pow.f64 (fma.f64 y z x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y z x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y z x) 2))
(log.f64 (exp.f64 (fma.f64 y z x)))
(cbrt.f64 (pow.f64 (fma.f64 y z x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(exp.f64 (log.f64 (fma.f64 y z x)))
(log1p.f64 (expm1.f64 (fma.f64 y z x)))
(fma.f64 y z x)
(fma.f64 z y x)
(fma.f64 1 (*.f64 y z) x)
(fma.f64 1 x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) x)

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1364×	`fma-neg`
946×	`associate-r`
916×	`associate-l`
694×	`div-sub`
640×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1034
1	217	804
2	706	624
3	4431	624

Stop Event

1×	node limit

Counts

44 → 43

Calls

Call 1

Inputs
x
(*.f64 y z)
(*.f64 y z)
x
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
x
x
(-.f64 (+.f64 1 (fma.f64 y z x)) 1)
(-.f64 (/.f64 (pow.f64 (.f64 y z) 2) (fma.f64 y z (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 y z (neg.f64 x))))
(*.f64 (fma.f64 y z x) 1)
(*.f64 1 (fma.f64 y z x))
(*.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))
(*.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (*.f64 y z))))))
(.f64 (-.f64 (pow.f64 (.f64 y z) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y z (neg.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (.f64 y z)))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))))
(/.f64 1 (/.f64 (fma.f64 y z (neg.f64 x)) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (.f64 y z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 z (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (.f64 x x)) (fma.f64 y z (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (.f64 y z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) 2) (.f64 x x))) (neg.f64 (fma.f64 y z (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (-.f64 x (*.f64 y z)))
(pow.f64 (fma.f64 y z x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y z x)) 3)
(pow.f64 (pow.f64 (fma.f64 y z x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y z x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y z x) 2))
(log.f64 (exp.f64 (fma.f64 y z x)))
(cbrt.f64 (pow.f64 (fma.f64 y z x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(exp.f64 (log.f64 (fma.f64 y z x)))
(log1p.f64 (expm1.f64 (fma.f64 y z x)))
(fma.f64 y z x)
(fma.f64 z y x)
(fma.f64 1 (*.f64 y z) x)
(fma.f64 1 x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) x)

Outputs
x
(*.f64 y z)
(*.f64 y z)
x
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
x
x
(-.f64 (+.f64 1 (fma.f64 y z x)) 1)
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(-.f64 (/.f64 (pow.f64 (.f64 y z) 2) (fma.f64 y z (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 y z (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(*.f64 (fma.f64 y z x) 1)
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(*.f64 1 (fma.f64 y z x))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(*.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(*.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (*.f64 y z))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) 1) (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x (-.f64 x (.f64 y z)) (pow.f64 (*.f64 y z) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 y (.f64 z (-.f64 (.f64 y z) x)))))
(.f64 (-.f64 (pow.f64 (.f64 y z) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y z (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (.f64 y z)))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) 1) (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x (-.f64 x (.f64 y z)) (pow.f64 (*.f64 y z) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 y (.f64 z (-.f64 (.f64 y z) x)))))
(/.f64 1 (/.f64 (fma.f64 y z (neg.f64 x)) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 x x))))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (.f64 y z)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) 1) (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x (-.f64 x (.f64 y z)) (pow.f64 (*.f64 y z) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 y (.f64 z (-.f64 (.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 z (*.f64 y x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) 1) (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x (-.f64 x (.f64 y z)) (pow.f64 (*.f64 y z) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 y (.f64 z (-.f64 (.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (.f64 x x)) (fma.f64 y z (neg.f64 x)))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (.f64 y z))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) 1) (+.f64 (pow.f64 (.f64 y z) 2) (.f64 x (-.f64 x (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x (-.f64 x (.f64 y z)) (pow.f64 (*.f64 y z) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 y (.f64 z (-.f64 (.f64 y z) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) 2) (.f64 x x))) (neg.f64 (fma.f64 y z (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (-.f64 x (*.f64 y z)))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(pow.f64 (fma.f64 y z x) 1)
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(pow.f64 (cbrt.f64 (fma.f64 y z x)) 3)
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(pow.f64 (pow.f64 (fma.f64 y z x) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(pow.f64 (sqrt.f64 (fma.f64 y z x)) 2)
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(sqrt.f64 (pow.f64 (fma.f64 y z x) 2))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(log.f64 (exp.f64 (fma.f64 y z x)))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(cbrt.f64 (pow.f64 (fma.f64 y z x) 3))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(exp.f64 (log.f64 (fma.f64 y z x)))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(log1p.f64 (expm1.f64 (fma.f64 y z x)))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(fma.f64 y z x)
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 z y x)
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(fma.f64 1 (*.f64 y z) x)
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(fma.f64 1 x (*.f64 y z))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y z))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) x)
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) x)
(+.f64 1 (-.f64 (fma.f64 y z x) 1))
(+.f64 (fma.f64 y z x) 0)
(fma.f64 y z x)

localize47.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	99.8%	(*.f64 x (cos.f64 y))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
0.0ms	y	@	-inf	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
0.0ms	y	@	0	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
0.0ms	y	@	inf	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
0.0ms	z	@	-inf	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`log-prod`
812×	`prod-exp`
752×	`pow-prod-down`
724×	`fma-def`
526×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	207	19
2	2749	19

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

Inputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y))) (/.f64 (pow.f64 (.f64 y z) 2) (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y))))
(.f64 (fma.f64 x (cos.f64 y) (.f64 y z)) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 y z)))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y))))
(/.f64 1 (/.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))))
(/.f64 1 (/.f64 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y)) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 x (.f64 (cos.f64 y) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) (neg.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) y))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y)) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 y z)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 y) z)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 y z)))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) z) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y z))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y z))) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(fma.f64 (.f64 x (cos.f64 y)) 1 (.f64 y z))
(fma.f64 z y (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 y z) 1 (.f64 x (cos.f64 y)))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 y z))
(fma.f64 1 (.f64 y z) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) y) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) z) (.f64 x (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 y z)) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
(fma.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) y) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) z) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x) (.f64 y z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 y z))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 y z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 y) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 y z))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 y z))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y z))

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1110×	`fma-def`
852×	`cancel-sign-sub-inv`
656×	`distribute-lft-neg-in`
640×	`div-sub`
614×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	2768
1	492	2732
2	1290	2726
3	4562	2460

Stop Event

1×	node limit

Counts

108 → 94

Calls

Call 1

Inputs
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y))) (/.f64 (pow.f64 (.f64 y z) 2) (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y))))
(.f64 (fma.f64 x (cos.f64 y) (.f64 y z)) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 y z)))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y))))
(/.f64 1 (/.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))))
(/.f64 1 (/.f64 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y)) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 x (.f64 (cos.f64 y) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) (neg.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) y))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y)) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 y z)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 y) z)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 y z)))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) z) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y z))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y z))) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(fma.f64 (.f64 x (cos.f64 y)) 1 (.f64 y z))
(fma.f64 z y (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 y z) 1 (.f64 x (cos.f64 y)))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 y z))
(fma.f64 1 (.f64 y z) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) y) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) z) (.f64 x (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 y z)) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
(fma.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) y) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) z) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x) (.f64 y z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 y z))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 y z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 y) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 y z))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 y z))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y z))

Outputs
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 y (.f64 y x)) x))
(fma.f64 y z (.f64 x (fma.f64 (.f64 y -1/2) y 1)))
(+.f64 (.f64 y z) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (*.f64 y x)) x)))
(fma.f64 y z (fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))) 1)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y))) (/.f64 (pow.f64 (.f64 y z) 2) (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 y z)))
(/.f64 (fma.f64 y z (*.f64 (cos.f64 y) x)) 1)
(.f64 (fma.f64 x (cos.f64 y) (.f64 y z)) 1)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 y z)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 2))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (/.f64 1 (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 y (.f64 z (-.f64 (.f64 y z) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 y z)))
(/.f64 (fma.f64 y z (*.f64 (cos.f64 y) x)) 1)
(/.f64 1 (/.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))))
(.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (/.f64 1 (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 y (.f64 z (-.f64 (.f64 y z) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 1 (/.f64 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y)) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 y z)))
(/.f64 (fma.f64 y z (*.f64 (cos.f64 y) x)) 1)
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)))
(.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (/.f64 1 (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 y (.f64 z (-.f64 (.f64 y z) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 x (.f64 (cos.f64 y) (*.f64 y z))))))
(.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (/.f64 1 (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 y (.f64 z (-.f64 (.f64 y z) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) y)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 y z)))
(/.f64 (fma.f64 y z (*.f64 (cos.f64 y) x)) 1)
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) (neg.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (/.f64 1 (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 y (.f64 z (-.f64 (.f64 y z) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 y z)))
(/.f64 (fma.f64 y z (*.f64 (cos.f64 y) x)) 1)
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 y z)))
(/.f64 (fma.f64 y z (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 1)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 3)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 2) 1/2)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 3) 1/3)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 2)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(pow.f64 (/.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) -1)
(.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (/.f64 1 (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (fma.f64 y z (neg.f64 (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 y (.f64 z (-.f64 (.f64 y z) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) y)) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 y z)))
(/.f64 (fma.f64 y z (*.f64 (cos.f64 y) x)) 1)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 2))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 y z)))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 y) z)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 y z)))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (pow.f64 (exp.f64 y) z) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y z))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y z))) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 3))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) 1))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 1) 1))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 3))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))) 1/3))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 2))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 x (cos.f64 y)) 1 (.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 z y (*.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 y z) 1 (.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 1 (.f64 y z) (.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) y) (.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) z) (.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cbrt.f64 (.f64 y z)) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (*.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) (*.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) y) (.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) z) (.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (*.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x) (.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 y) (.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))

localize117.0ms (1.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(*.f64 z (sin.f64 y))
	99.8%	(*.f64 x (cos.f64 y))
✓	99.0%	(cbrt.f64 (*.f64 x (cos.f64 y)))
✓	98.8%	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)

Compiler

Compiled 44 to 15 computations (65.9% saved)

series12.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`pow1`
1504×	`add-exp-log`
1504×	`log1p-expm1-u`
1504×	`expm1-log1p-u`
1470×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	203	26
2	2118	26

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(cbrt.f64 (*.f64 x (cos.f64 y)))

Outputs
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (cos.f64 y)) 1)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(.f64 1 (.f64 x (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 3))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 x (cos.f64 y)) 1/6)) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y)))) 1)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 1)
(.f64 1 (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/3))
(pow.f64 (*.f64 x (cos.f64 y)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1724×	`fma-def`
766×	`*-commutative`
688×	`log-prod`
578×	`cube-prod`
536×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	1764
1	536	1720
2	1717	1620
3	5794	1592

Stop Event

1×	node limit

Counts

78 → 90

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 1 1/3))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (cos.f64 y)) 1)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(.f64 1 (.f64 x (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 3))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 x (cos.f64 y)) 1/6)) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y)))) 1)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 1)
(.f64 1 (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/3))
(pow.f64 (*.f64 x (cos.f64 y)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))

Outputs
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 x (.f64 (.f64 x -1/2) (*.f64 y y)))
(fma.f64 (.f64 x -1/2) (.f64 y y) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 x (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 x -1/24)) (fma.f64 1/18 x (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x)))))))
(+.f64 x (fma.f64 (pow.f64 y 4) (fma.f64 1/3 (.f64 x -1/24) (fma.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (.f64 x 1/18))) (.f64 (.f64 x -1/2) (*.f64 y y))))
(fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (.f64 x -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (fma.f64 x 1/18 (*.f64 x -1/72))) x))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 1 1/3))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(+.f64 x (fma.f64 (fma.f64 -1/6 (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216)))) (.f64 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) -1/9)) (fma.f64 1/3 (.f64 1 (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216)))) (.f64 -1/9 (.f64 x -1/24))))) (pow.f64 y 6) (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 x -1/24)) (fma.f64 1/18 x (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))))))))
(+.f64 x (fma.f64 (+.f64 (fma.f64 1/3 (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72))) (.f64 (.f64 x -1/24) -1/9)) (.f64 (cbrt.f64 x) (+.f64 (.f64 -1/6 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x))))) (fma.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 x))) (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72))) (.f64 (.f64 x -1/24) (.f64 (cbrt.f64 (/.f64 1 x)) -1/9)))))) (pow.f64 y 6) (fma.f64 (pow.f64 y 4) (fma.f64 1/3 (.f64 x -1/24) (fma.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (.f64 x 1/18))) (.f64 (.f64 x -1/2) (*.f64 y y)))))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (.f64 x -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 2/3 (+.f64 (.f64 x -11/720) (.f64 x 1/216))) (.f64 (.f64 x -1/24) -1/9)))) (fma.f64 1/3 (+.f64 (.f64 x -11/720) (.f64 x 1/216)) (.f64 (.f64 x -1/24) -1/9))) (pow.f64 y 6) (fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (.f64 x -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (fma.f64 x 1/18 (*.f64 x -1/72))) x)))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (.f64 x -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 2/3 (fma.f64 x -11/720 (.f64 x 1/216))) (.f64 (.f64 x -1/24) -1/9)))) (fma.f64 1/3 (fma.f64 x -11/720 (.f64 x 1/216)) (.f64 (.f64 x -1/24) -1/9))) (pow.f64 y 6) (fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (.f64 x -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (fma.f64 x 1/18 (*.f64 x -1/72))) x)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 x))) (cbrt.f64 x))
(fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 x))) (cbrt.f64 x))
(.f64 (+.f64 (.f64 -1/6 (*.f64 y y)) 1) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/24))) (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 x)))) (cbrt.f64 x))
(+.f64 (fma.f64 1/3 (.f64 (pow.f64 y 4) (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 -1/6 (.f64 y (*.f64 y (cbrt.f64 x))))) (cbrt.f64 x))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/72)) (.f64 (+.f64 (.f64 -1/6 (.f64 y y)) 1) (cbrt.f64 x)))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(+.f64 (fma.f64 1/3 (.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216))) (.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/24))) (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 x))))) (cbrt.f64 x))
(+.f64 (.f64 1/3 (+.f64 (.f64 (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72))) (.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 (pow.f64 y 4) (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 (.f64 x x))))))) (fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 x))) (cbrt.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (+.f64 (.f64 (+.f64 (.f64 x -11/720) (.f64 x 1/216)) (pow.f64 y 6)) (.f64 x (.f64 (pow.f64 y 4) -1/24)))) (.f64 (+.f64 (.f64 -1/6 (.f64 y y)) 1) (cbrt.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (+.f64 (.f64 (fma.f64 x -11/720 (.f64 x 1/216)) (pow.f64 y 6)) (.f64 x (.f64 (pow.f64 y 4) -1/24)))) (.f64 (+.f64 (.f64 -1/6 (*.f64 y y)) 1) (cbrt.f64 x)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (cos.f64 y)) 1)
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 x (cos.f64 y))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 3))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 x (cos.f64 y)) 1/6)) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(*.f64 x (cos.f64 y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))
(*.f64 x (cos.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y)))) 1)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 1)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(.f64 1 (cbrt.f64 (.f64 x (cos.f64 y))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/3))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (cos.f64 y))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/6) 4)
(pow.f64 (*.f64 x (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))

localize77.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (sin.f64 y))
	99.9%	(*.f64 x (cos.f64 y))
✓	99.9%	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
✓	99.8%	(*.f64 z (sqrt.f64 (sin.f64 y)))

Compiler

Compiled 36 to 10 computations (72.2% saved)

series7.0ms (0.1%)

Counts

3 → 33

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(*.f64 z (sqrt.f64 (sin.f64 y)))
1.0ms	z	@	0	(*.f64 z (sqrt.f64 (sin.f64 y)))
1.0ms	y	@	0	(*.f64 z (sqrt.f64 (sin.f64 y)))
0.0ms	y	@	0	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
0.0ms	y	@	-inf	(*.f64 z (sqrt.f64 (sin.f64 y)))

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`log-prod`
820×	`pow-prod-down`
666×	`pow-prod-up`
592×	`pow-exp`
464×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	253	51
2	2985	47

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs
(*.f64 z (sqrt.f64 (sin.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(sqrt.f64 (sin.f64 y))

Outputs
(+.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1)
(pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 3)
(pow.f64 (.f64 (sin.f64 y) (.f64 z z)) 1/2)
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 2)
(sqrt.f64 (.f64 (sin.f64 y) (.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 (sin.f64 y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (sqrt.f64 (sin.f64 y))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sqrt.f64 (sin.f64 y))))) 2))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 0 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (.f64 (.f64 z (sin.f64 y)) 1) (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)
(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (cos.f64 y)) x) (exp.f64 (.f64 z (sin.f64 y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (exp.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (.f64 (exp.f64 (.f64 z (sin.f64 y))) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 0 (sqrt.f64 (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(pow.f64 (sin.f64 y) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/4)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (sin.f64 y))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (sin.f64 y))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1202×	`fma-def`
998×	`log-prod`
842×	`unswap-sqr`
690×	`distribute-lft-in`
658×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2350
1	466	2246
2	1423	2242
3	6232	2242

Stop Event

1×	node limit

Counts

120 → 106

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
x
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1)
(pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 3)
(pow.f64 (.f64 (sin.f64 y) (.f64 z z)) 1/2)
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 2)
(sqrt.f64 (.f64 (sin.f64 y) (.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 (sin.f64 y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (sqrt.f64 (sin.f64 y))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sqrt.f64 (sin.f64 y))))) 2))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 0 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (.f64 (.f64 z (sin.f64 y)) 1) (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)
(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (cos.f64 y)) x) (exp.f64 (.f64 z (sin.f64 y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (exp.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (.f64 (exp.f64 (.f64 z (sin.f64 y))) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 0 (sqrt.f64 (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(pow.f64 (sin.f64 y) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/4)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (sin.f64 y))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (sin.f64 y))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))

Outputs
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
x
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1)
(*.f64 z (sqrt.f64 (sin.f64 y)))
(pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 1)
(*.f64 z (sqrt.f64 (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 3)
(*.f64 z (sqrt.f64 (sin.f64 y)))
(pow.f64 (.f64 (sin.f64 y) (.f64 z z)) 1/2)
(*.f64 z (sqrt.f64 (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3) 1/3)
(*.f64 z (sqrt.f64 (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 2)
(*.f64 z (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (.f64 (sin.f64 y) (.f64 z z)))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 (sin.f64 y)))) 1))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 1) 1))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (sqrt.f64 (sin.f64 y))))) 3))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1/3))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sqrt.f64 (sin.f64 y))))) 2))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))
(*.f64 z (sqrt.f64 (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 0 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (.f64 z (sin.f64 y)) 1) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 1)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (*.f64 (cos.f64 y) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 (cos.f64 y) x) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2) 1/2)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (.f64 (pow.f64 (exp.f64 (cos.f64 y)) x) (exp.f64 (.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (exp.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (.f64 (exp.f64 (.f64 z (sin.f64 y))) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 1))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1) 1))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 3))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 3)) 1/3))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 0 (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))
(sqrt.f64 (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)
(sqrt.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(sqrt.f64 (sin.f64 y))
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))
(sqrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(sqrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/2)
(sqrt.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(sqrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)
(sqrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 3)
(sqrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/4)
(sqrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(sqrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(sqrt.f64 (sin.f64 y))
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))
(sqrt.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(sqrt.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))
(sqrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))
(sqrt.f64 (sin.f64 y))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) 1/2))
(sqrt.f64 (sin.f64 y))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1/2) 1))
(sqrt.f64 (sin.f64 y))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1) 1))
(sqrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) 1/6)) 3))
(sqrt.f64 (sin.f64 y))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (sin.f64 y))) 1/3))
(sqrt.f64 (sin.f64 y))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (sin.f64 y))) 2))
(sqrt.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))

eval141.0ms (1.6%)

Compiler: Compiled 10649 to 3910 computations (63.3% saved)

prune110.0ms (1.3%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	597	13	610
Fresh	5	8	13
Picked	1	0	1
Done	1	4	5
Total	604	25	629

Accurracy

100.0%

Counts

629 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.0%	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 y z))
	65.1%	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
▶	99.1%	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
▶	53.7%	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
	48.6%	(fma.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	38.8%	(fma.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) x)
	60.3%	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	55.4%	(fma.f64 z y x)
	49.3%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	34.6%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 y z))
	73.8%	(+.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (cos.f64 y))))) 3) (.f64 z (sin.f64 y)))
✓	98.6%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	65.1%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 y z))
	76.8%	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	55.4%	(+.f64 (*.f64 y z) x)
▶	56.1%	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	74.4%	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
▶	79.1%	(+.f64 x (*.f64 z (sin.f64 y)))
	59.1%	(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	62.4%	(*.f64 (cos.f64 y) x)
	38.7%	(*.f64 z (sin.f64 y))
▶	15.6%	(*.f64 y z)
	43.7%	x

Compiler

Compiled 616 to 402 computations (34.7% saved)

localize100.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
✓	99.5%	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
✓	99.2%	(pow.f64 (cbrt.f64 z) 2)
✓	99.0%	(cbrt.f64 z)

Compiler

Compiled 43 to 18 computations (58.1% saved)

series12.0ms (0.1%)

Counts

4 → 39

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
2.0ms	y	@	inf	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
1.0ms	x	@	0	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
1.0ms	z	@	0	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
1.0ms	y	@	0	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))

rewrite103.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`log-prod`
874×	`pow-prod-down`
722×	`pow-prod-up`
636×	`pow-exp`
514×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	294	64
2	3356	60

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

Inputs
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))

Outputs
(+.f64 0 (cbrt.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z))) (cbrt.f64 (exp.f64 (cbrt.f64 z))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)
(*.f64 (cbrt.f64 z) 1)
(*.f64 1 (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))
(pow.f64 z 1/3)
(pow.f64 (cbrt.f64 z) 1)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(pow.f64 (pow.f64 z 3) 1/9)
(pow.f64 (*.f64 z z) 1/6)
(pow.f64 (sqrt.f64 z) 2/3)
(pow.f64 (pow.f64 z 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(fabs.f64 (cbrt.f64 z))
(log.f64 (exp.f64 (cbrt.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(exp.f64 (log.f64 (cbrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))
(exp.f64 (.f64 (.f64 (log.f64 z) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 z) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 z)) 1) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 z)) 1/2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 z)) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 z))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 z)) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(+.f64 0 (pow.f64 (cbrt.f64 z) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(*.f64 (pow.f64 z 1/6) (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 5) (cbrt.f64 (cbrt.f64 z)))
(sqrt.f64 (*.f64 z (cbrt.f64 z)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 z) 2))))
(cbrt.f64 (*.f64 z z))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(exp.f64 (*.f64 2/3 (log.f64 z)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 z)) 1))
(exp.f64 (*.f64 (log.f64 z) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 z) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 z) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 z)) 1) 2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 z)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 z))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 z)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 0 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 4) 1/2)
(pow.f64 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 4))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 2/3 (log.f64 z))))
(exp.f64 (.f64 (+.f64 (log.f64 (sin.f64 y)) (.f64 2/3 (log.f64 z))) 1))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 2/3 (log.f64 z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 y) 3) (*.f64 z z))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(+.f64 0 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)
(.f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (exp.f64 (.f64 (sin.f64 y) z))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (exp.f64 (*.f64 (sin.f64 y) z))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) z)) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1900×	`fma-def`
940×	`unswap-sqr`
802×	`distribute-lft-in`
740×	`distribute-rgt-in`
644×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	4294970526
1	693	3138
2	2038	2962
3	7958	2962

Stop Event

1×	node limit

Counts

156 → 181

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) y)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 7))) (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
x
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 y z)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 y z)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 (pow.f64 y 3) z))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 1 1/3) (*.f64 y z)) x)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 0 (cbrt.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z))) (cbrt.f64 (exp.f64 (cbrt.f64 z))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)
(*.f64 (cbrt.f64 z) 1)
(*.f64 1 (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))
(pow.f64 z 1/3)
(pow.f64 (cbrt.f64 z) 1)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(pow.f64 (pow.f64 z 3) 1/9)
(pow.f64 (*.f64 z z) 1/6)
(pow.f64 (sqrt.f64 z) 2/3)
(pow.f64 (pow.f64 z 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(fabs.f64 (cbrt.f64 z))
(log.f64 (exp.f64 (cbrt.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(exp.f64 (log.f64 (cbrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))
(exp.f64 (.f64 (.f64 (log.f64 z) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 z) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 z)) 1) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 z)) 1/2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 z)) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 z))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 z)) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(+.f64 0 (pow.f64 (cbrt.f64 z) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(*.f64 (pow.f64 z 1/6) (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 5) (cbrt.f64 (cbrt.f64 z)))
(sqrt.f64 (*.f64 z (cbrt.f64 z)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 z) 2))))
(cbrt.f64 (*.f64 z z))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(exp.f64 (*.f64 2/3 (log.f64 z)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 z)) 1))
(exp.f64 (*.f64 (log.f64 z) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 z) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 z) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 z)) 1) 2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 z)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 z))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 z)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 0 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 4) 1/2)
(pow.f64 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 4))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 2/3 (log.f64 z))))
(exp.f64 (.f64 (+.f64 (log.f64 (sin.f64 y)) (.f64 2/3 (log.f64 z))) 1))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 2/3 (log.f64 z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 y) 3) (*.f64 z z))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(+.f64 0 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)
(.f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (exp.f64 (.f64 (sin.f64 y) z))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (exp.f64 (*.f64 (sin.f64 y) z))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) z)) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))

Outputs
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) y)
(.f64 (cbrt.f64 (.f64 z z)) y)
(*.f64 y (pow.f64 (cbrt.f64 z) 2))
(.f64 y (cbrt.f64 (.f64 z z)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))
(fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 3)) (.f64 (cbrt.f64 (.f64 z z)) y))
(fma.f64 y (pow.f64 (cbrt.f64 z) 2) (.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 z) 2))))
(.f64 (cbrt.f64 (.f64 z z)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) y)))
(fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 5)) (.f64 (cbrt.f64 (.f64 z z)) y)))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 z) 2)) (fma.f64 y (pow.f64 (cbrt.f64 z) 2) (.f64 1/120 (*.f64 (pow.f64 y 5) (pow.f64 (cbrt.f64 z) 2)))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) (cbrt.f64 (.f64 z z))) (.f64 (cbrt.f64 (.f64 z z)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 7))) (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))))
(fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 5)) (fma.f64 -1/5040 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 7)) (.f64 (cbrt.f64 (.f64 z z)) y))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 z) 2)) (fma.f64 1/120 (.f64 (pow.f64 y 5) (pow.f64 (cbrt.f64 z) 2)) (fma.f64 y (pow.f64 (cbrt.f64 z) 2) (.f64 (pow.f64 y 7) (.f64 -1/5040 (pow.f64 (cbrt.f64 z) 2))))))
(+.f64 (.f64 (cbrt.f64 (.f64 z z)) (+.f64 y (.f64 -1/5040 (pow.f64 y 7)))) (.f64 (cbrt.f64 (.f64 z z)) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (sin.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (sin.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (sin.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (sin.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (sin.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (sin.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (sin.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (sin.f64 y) (cbrt.f64 (.f64 z z)))
x
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 y z)) x)
(fma.f64 1 (*.f64 z y) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 y z)) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 1 (*.f64 z y) x))
(fma.f64 -1/2 (.f64 (.f64 x y) y) (fma.f64 y z x))
(fma.f64 z y (fma.f64 x (.f64 -1/2 (.f64 y y)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 (pow.f64 y 3) z))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 1 1/3) (*.f64 y z)) x)))
(+.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 1 (.f64 z y) x)) (.f64 -1/6 (*.f64 z (pow.f64 y 3))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (.f64 (*.f64 x y) y) (fma.f64 y z x)))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 z y (fma.f64 x (.f64 -1/2 (*.f64 y y)) x)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 0 (cbrt.f64 z))
(cbrt.f64 z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z))) (cbrt.f64 (exp.f64 (cbrt.f64 z))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)
(cbrt.f64 z)
(*.f64 (cbrt.f64 z) 1)
(cbrt.f64 z)
(*.f64 1 (cbrt.f64 z))
(cbrt.f64 z)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(cbrt.f64 z)
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(cbrt.f64 z)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))
(cbrt.f64 z)
(pow.f64 z 1/3)
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 1)
(cbrt.f64 z)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)
(cbrt.f64 z)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(cbrt.f64 z)
(pow.f64 (pow.f64 z 3) 1/9)
(*.f64 (pow.f64 (pow.f64 z 3) 1/18) (pow.f64 (pow.f64 z 3) 1/18))
(pow.f64 (*.f64 z z) 1/6)
(cbrt.f64 z)
(pow.f64 (sqrt.f64 z) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(pow.f64 (pow.f64 z 1/6) 2)
(cbrt.f64 z)
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(cbrt.f64 z)
(fabs.f64 (cbrt.f64 z))
(cbrt.f64 z)
(log.f64 (exp.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))
(cbrt.f64 z)
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(exp.f64 (log.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) 1/3))
(cbrt.f64 z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))
(cbrt.f64 z)
(exp.f64 (.f64 (.f64 (log.f64 z) 1) 1/3))
(cbrt.f64 z)
(exp.f64 (.f64 (.f64 (log.f64 z) 1/3) 1))
(cbrt.f64 z)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 z)) 1) 1))
(cbrt.f64 z)
(exp.f64 (.f64 (.f64 2/3 (log.f64 z)) 1/2))
(cbrt.f64 z)
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 z)) 1) 1/2))
(cbrt.f64 z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 z))) 3))
(cbrt.f64 z)
(exp.f64 (.f64 (.f64 1/6 (log.f64 z)) 2))
(cbrt.f64 z)
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(+.f64 0 (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (cbrt.f64 z) 2)
(cbrt.f64 (*.f64 z z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 z z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 z z))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)
(pow.f64 (cbrt.f64 z) 2)
(cbrt.f64 (*.f64 z z))
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(pow.f64 (cbrt.f64 z) 2)
(cbrt.f64 (*.f64 z z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(pow.f64 (cbrt.f64 z) 2)
(cbrt.f64 (*.f64 z z))
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (cbrt.f64 z) 2)
(cbrt.f64 (*.f64 z z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4))
(pow.f64 (cbrt.f64 z) 2)
(cbrt.f64 (*.f64 z z))
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localize17.0ms (0.2%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize47.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 z (sin.f64 y)))
	99.8%	(*.f64 z (sin.f64 y))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series14.0ms (0.2%)

Counts

1 → 27

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(+.f64 x (*.f64 z (sin.f64 y)))
0.0ms	x	@	0	(+.f64 x (*.f64 z (sin.f64 y)))
0.0ms	y	@	0	(+.f64 x (*.f64 z (sin.f64 y)))
0.0ms	y	@	inf	(+.f64 x (*.f64 z (sin.f64 y)))
0.0ms	y	@	-inf	(+.f64 x (*.f64 z (sin.f64 y)))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1966×	`pow1`
1808×	`add-exp-log`
1808×	`log1p-expm1-u`
1808×	`expm1-log1p-u`
198×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	185	13
2	2447	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(+.f64 x (*.f64 z (sin.f64 y)))

Outputs
(-.f64 (+.f64 1 (fma.f64 z (sin.f64 y) x)) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 x (.f64 z (sin.f64 y)))))
(*.f64 (fma.f64 z (sin.f64 y) x) 1)
(*.f64 1 (fma.f64 z (sin.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (.f64 x x) (.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(pow.f64 (fma.f64 z (sin.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 1 x (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 z (sin.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (sin.f64 y)))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1290×	`fma-neg`
1038×	`associate-r`
988×	`associate-l`
864×	`div-sub`
742×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1153
1	274	1123
2	869	1115
3	5211	1115

Stop Event

1×	node limit

Counts

63 → 52

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (*.f64 (pow.f64 y 3) z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 1/120 (*.f64 (pow.f64 y 5) z)) x)))
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(-.f64 (+.f64 1 (fma.f64 z (sin.f64 y) x)) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 x (.f64 z (sin.f64 y)))))
(*.f64 (fma.f64 z (sin.f64 y) x) 1)
(*.f64 1 (fma.f64 z (sin.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (.f64 x x) (.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(pow.f64 (fma.f64 z (sin.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 1 x (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 z (sin.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (sin.f64 y)))

Outputs
(*.f64 z (sin.f64 y))
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) x))
(fma.f64 z y (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) x))
(fma.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 1/120 (*.f64 (pow.f64 y 5) z)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 1/120 (.f64 z (pow.f64 y 5)) x)))
(fma.f64 z y (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 1/120 (.f64 z (pow.f64 y 5)) x)))
(fma.f64 z y (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5))) x))
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(-.f64 (+.f64 1 (fma.f64 z (sin.f64 y) x)) 1)
(fma.f64 z (sin.f64 y) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 x (.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) x)
(*.f64 (fma.f64 z (sin.f64 y) x) 1)
(fma.f64 z (sin.f64 y) x)
(*.f64 1 (fma.f64 z (sin.f64 y) x))
(fma.f64 z (sin.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(fma.f64 z (sin.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) (*.f64 x x)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) x)
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(fma.f64 z (sin.f64 y) x)
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (.f64 x x) (.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 z (sin.f64 y) x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) x)
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(fma.f64 z (sin.f64 y) x)
(pow.f64 (fma.f64 z (sin.f64 y) x) 1)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)
(fma.f64 z (sin.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(fma.f64 z (sin.f64 y) x)
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))
(fma.f64 z (sin.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) x)) 1))
(fma.f64 z (sin.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 1 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 1 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y))) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)

localize98.0ms (1.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(*.f64 x (cos.f64 y))
	99.9%	(*.f64 z (sin.f64 y))
✓	99.7%	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	89.1%	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 44 to 15 computations (65.9% saved)

series6.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	z	@	-inf	(sqrt.f64 (*.f64 z (sin.f64 y)))
1.0ms	z	@	0	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	z	@	0	(sqrt.f64 (*.f64 z (sin.f64 y)))

rewrite117.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`pow1`
1442×	`add-exp-log`
1442×	`log1p-expm1-u`
1442×	`expm1-log1p-u`
1408×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	201	26
2	2033	26

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)

Outputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1)
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1)
(.f64 1 (sqrt.f64 (.f64 z (sin.f64 y))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 z (sin.f64 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))
(pow.f64 (*.f64 z (sin.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(.f64 (.f64 z (sin.f64 y)) 1)
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(.f64 1 (.f64 z (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1240×	`fma-def`
950×	`distribute-rgt-in`
928×	`distribute-lft-in`
898×	`associate-+r+`
836×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1030
1	221	910
2	731	790
3	2870	790

Stop Event

1×	node limit

Counts

58 → 56

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1)
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1)
(.f64 1 (sqrt.f64 (.f64 z (sin.f64 y))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 z (sin.f64 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))
(pow.f64 (*.f64 z (sin.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(.f64 (.f64 z (sin.f64 y)) 1)
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(.f64 1 (.f64 z (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))

Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 1 (sqrt.f64 (.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 1 (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 z (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))

localize113.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(*.f64 x (cos.f64 y))
✓	99.9%	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
✓	99.8%	(*.f64 (sin.f64 y) (sqrt.f64 z))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series6.0ms (0.1%)

Counts

2 → 37

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
1.0ms	z	@	inf	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
0.0ms	z	@	-inf	(*.f64 (sin.f64 y) (sqrt.f64 z))
0.0ms	y	@	0	(*.f64 (sin.f64 y) (sqrt.f64 z))
0.0ms	z	@	0	(*.f64 (sin.f64 y) (sqrt.f64 z))

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`log-prod`
820×	`pow-prod-down`
666×	`pow-prod-up`
592×	`pow-exp`
464×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	253	42
2	2985	38

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) (sqrt.f64 z))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))

Outputs
(+.f64 0 (*.f64 (sin.f64 y) (sqrt.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))) 1)
(pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 3)
(pow.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 2)
(sqrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (sqrt.f64 z))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 y) (sqrt.f64 z)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 y) (sqrt.f64 z)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(+.f64 0 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) 1)
(.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(log.f64 (.f64 (pow.f64 (exp.f64 (cos.f64 y)) x) (exp.f64 (.f64 (sin.f64 y) z))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (exp.f64 (*.f64 (sin.f64 y) z))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) z)) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1444×	`fma-def`
700×	`log-prod`
648×	`unswap-sqr`
550×	`distribute-lft-in`
522×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	2188
1	437	2090
2	1382	2048
3	5412	2002

Stop Event

1×	node limit

Counts

92 → 97

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 z))
(+.f64 (.f64 y (sqrt.f64 z)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (sqrt.f64 z))) (.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) (sqrt.f64 z))) (.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 0 (*.f64 (sin.f64 y) (sqrt.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))) 1)
(pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 3)
(pow.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 2)
(sqrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (sqrt.f64 z))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 y) (sqrt.f64 z)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 y) (sqrt.f64 z)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(+.f64 0 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) 1)
(.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(log.f64 (.f64 (pow.f64 (exp.f64 (cos.f64 y)) x) (exp.f64 (.f64 (sin.f64 y) z))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (exp.f64 (*.f64 (sin.f64 y) z))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) z)) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))

Outputs
(*.f64 y (sqrt.f64 z))
(+.f64 (.f64 y (sqrt.f64 z)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))))
(fma.f64 y (sqrt.f64 z) (.f64 -1/6 (.f64 (sqrt.f64 z) (pow.f64 y 3))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) y))
(*.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (sqrt.f64 z))) (.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))
(fma.f64 y (sqrt.f64 z) (fma.f64 -1/6 (.f64 (sqrt.f64 z) (pow.f64 y 3)) (.f64 1/120 (*.f64 (sqrt.f64 z) (pow.f64 y 5)))))
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eval242.0ms (2.8%)

Compiler: Compiled 9480 to 3490 computations (63.2% saved)

prune152.0ms (1.8%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	560	7	567
Fresh	2	14	16
Picked	1	0	1
Done	2	6	8
Total	565	27	592

Accurracy

100.0%

Counts

592 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.0%	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 y z))
▶	65.1%	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
▶	87.8%	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 (.f64 z (cbrt.f64 z)))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
▶	42.0%	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
	74.4%	(fma.f64 (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
	48.6%	(fma.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	38.8%	(fma.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) x)
	60.3%	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	55.4%	(fma.f64 z y x)
	49.3%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	34.6%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 y z))
	73.8%	(+.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (cos.f64 y))))) 3) (.f64 z (sin.f64 y)))
✓	98.6%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	65.1%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 y z))
	76.8%	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	55.4%	(+.f64 (*.f64 y z) x)
	53.2%	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3/2)) 2))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	45.7%	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	79.1%	(+.f64 x (*.f64 z (sin.f64 y)))
	58.1%	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
	48.6%	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (.f64 z (sin.f64 y)))))
	62.4%	(*.f64 (cos.f64 y) x)
▶	38.7%	(*.f64 z (sin.f64 y))
✓	15.6%	(*.f64 y z)
	43.7%	x

Compiler

Compiled 641 to 422 computations (34.2% saved)

localize104.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 z (cbrt.f64 z))
✓	99.5%	(.f64 (sin.f64 y) (sqrt.f64 (.f64 z (cbrt.f64 z))))
	99.0%	(cbrt.f64 z)
✓	78.0%	(sqrt.f64 (*.f64 z (cbrt.f64 z)))

Compiler

Compiled 49 to 12 computations (75.5% saved)

series66.0ms (0.8%)

Counts

3 → 12

Calls

12 calls:

Time	Variable		Point	Expression
43.0ms	z	@	0	(sqrt.f64 (*.f64 z (cbrt.f64 z)))
18.0ms	y	@	0	(.f64 (sin.f64 y) (sqrt.f64 (.f64 z (cbrt.f64 z))))
2.0ms	y	@	inf	(.f64 (sin.f64 y) (sqrt.f64 (.f64 z (cbrt.f64 z))))
1.0ms	z	@	-inf	(sqrt.f64 (*.f64 z (cbrt.f64 z)))
1.0ms	z	@	-inf	(.f64 (sin.f64 y) (sqrt.f64 (.f64 z (cbrt.f64 z))))

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`pow1`
1558×	`add-exp-log`
1558×	`log1p-expm1-u`
1558×	`expm1-log1p-u`
1518×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	193	43
2	2306	43

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 z (cbrt.f64 z)))
(.f64 (sin.f64 y) (sqrt.f64 (.f64 z (cbrt.f64 z))))
(*.f64 z (cbrt.f64 z))

Outputs
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 z) 2)) 1)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (cbrt.f64 z))))
(*.f64 (pow.f64 z 1/6) (sqrt.f64 z))
(.f64 (pow.f64 z 1/6) (.f64 (pow.f64 z 1/6) (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))))
(*.f64 (pow.f64 1 1/2) (pow.f64 (cbrt.f64 z) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) 1/2))
(.f64 (.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))
(pow.f64 z 2/3)
(pow.f64 (cbrt.f64 z) 2)
(pow.f64 (*.f64 z (cbrt.f64 z)) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) 3)
(pow.f64 (*.f64 z z) 1/3)
(fabs.f64 (pow.f64 (cbrt.f64 z) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(cbrt.f64 (*.f64 z z))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 3) 1/3)
(pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 2)
(sqrt.f64 (.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (sin.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 3))
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(-.f64 (+.f64 1 (*.f64 z (cbrt.f64 z))) 1)
(pow.f64 z 4/3)
(pow.f64 (*.f64 z (cbrt.f64 z)) 1)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)
(pow.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) 3)
(pow.f64 (pow.f64 (*.f64 z (cbrt.f64 z)) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 z 3) z) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (cbrt.f64 z)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cbrt.f64 z)))
(cbrt.f64 (*.f64 (pow.f64 z 3) z))
(cbrt.f64 (*.f64 z (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (cbrt.f64 z))))
(exp.f64 (log.f64 (*.f64 z (cbrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 z (cbrt.f64 z))))

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1104×	`distribute-rgt-in`
1062×	`distribute-lft-in`
936×	`log-prod`
868×	`associate-+r+`
772×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1574
1	328	1370
2	1025	1122
3	3260	1094

Stop Event

1×	node limit

Counts

64 → 79

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) y)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 7))) (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 z) 2)) 1)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (cbrt.f64 z))))
(*.f64 (pow.f64 z 1/6) (sqrt.f64 z))
(.f64 (pow.f64 z 1/6) (.f64 (pow.f64 z 1/6) (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))))
(*.f64 (pow.f64 1 1/2) (pow.f64 (cbrt.f64 z) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) 1/2))
(.f64 (.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))
(pow.f64 z 2/3)
(pow.f64 (cbrt.f64 z) 2)
(pow.f64 (*.f64 z (cbrt.f64 z)) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) 3)
(pow.f64 (*.f64 z z) 1/3)
(fabs.f64 (pow.f64 (cbrt.f64 z) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(cbrt.f64 (*.f64 z z))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 3) 1/3)
(pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 2)
(sqrt.f64 (.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (sin.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 3))
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(-.f64 (+.f64 1 (*.f64 z (cbrt.f64 z))) 1)
(pow.f64 z 4/3)
(pow.f64 (*.f64 z (cbrt.f64 z)) 1)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)
(pow.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) 3)
(pow.f64 (pow.f64 (*.f64 z (cbrt.f64 z)) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 z 3) z) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (cbrt.f64 z)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cbrt.f64 z)))
(cbrt.f64 (*.f64 (pow.f64 z 3) z))
(cbrt.f64 (*.f64 z (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (cbrt.f64 z))))
(exp.f64 (log.f64 (*.f64 z (cbrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 z (cbrt.f64 z))))

Outputs
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) y)
(.f64 (cbrt.f64 (.f64 z z)) y)
(*.f64 y (pow.f64 (cbrt.f64 z) 2))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))
(fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 3)) (.f64 (cbrt.f64 (.f64 z z)) y))
(fma.f64 (cbrt.f64 (.f64 z z)) y (.f64 (cbrt.f64 (.f64 z z)) (.f64 (pow.f64 y 3) -1/6)))
(.f64 (cbrt.f64 (.f64 z z)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) y)))
(fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 5)) (.f64 (cbrt.f64 (.f64 z z)) y)))
(fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 3)) (fma.f64 (cbrt.f64 (.f64 z z)) y (.f64 1/120 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 5)))))
(fma.f64 (cbrt.f64 (.f64 z z)) y (.f64 (cbrt.f64 (.f64 z z)) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (+.f64 y (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 7))) (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))))
(fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 5)) (fma.f64 -1/5040 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 7)) (.f64 (cbrt.f64 (.f64 z z)) y))))
(fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 y 5)) (fma.f64 (cbrt.f64 (.f64 z z)) y (.f64 (cbrt.f64 (.f64 z z)) (.f64 (pow.f64 y 7) -1/5040)))))
(+.f64 (.f64 (cbrt.f64 (.f64 z z)) (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) (.f64 (cbrt.f64 (.f64 z z)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (+.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 z) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (cbrt.f64 z))))
(.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (pow.f64 z 1/6) (sqrt.f64 z))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(.f64 (pow.f64 z 1/6) (.f64 (pow.f64 z 1/6) (cbrt.f64 z)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (pow.f64 1 1/2) (pow.f64 (cbrt.f64 z) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) 1/2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(.f64 (.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(pow.f64 z 2/3)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(pow.f64 (cbrt.f64 z) 2)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (*.f64 z (cbrt.f64 z)) 1/2)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) 3)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(pow.f64 (*.f64 z z) 1/3)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(fabs.f64 (pow.f64 (cbrt.f64 z) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(cbrt.f64 (*.f64 z z))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 1)
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 1)
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 3)
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 3) 1/3)
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 2)
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(sqrt.f64 (.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (sin.f64 y) 2)))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 3))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 3)))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
(-.f64 (+.f64 1 (*.f64 z (cbrt.f64 z))) 1)
(+.f64 1 (-.f64 (*.f64 z (cbrt.f64 z)) 1))
(+.f64 (*.f64 z (cbrt.f64 z)) 0)
(*.f64 z (cbrt.f64 z))
(pow.f64 z 4/3)
(+.f64 1 (-.f64 (*.f64 z (cbrt.f64 z)) 1))
(+.f64 (*.f64 z (cbrt.f64 z)) 0)
(*.f64 z (cbrt.f64 z))
(pow.f64 (*.f64 z (cbrt.f64 z)) 1)
(+.f64 1 (-.f64 (*.f64 z (cbrt.f64 z)) 1))
(+.f64 (*.f64 z (cbrt.f64 z)) 0)
(*.f64 z (cbrt.f64 z))
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)
(+.f64 1 (-.f64 (*.f64 z (cbrt.f64 z)) 1))
(+.f64 (*.f64 z (cbrt.f64 z)) 0)
(*.f64 z (cbrt.f64 z))
(pow.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) 3)
(+.f64 1 (-.f64 (*.f64 z (cbrt.f64 z)) 1))
(+.f64 (*.f64 z (cbrt.f64 z)) 0)
(*.f64 z (cbrt.f64 z))
(pow.f64 (pow.f64 (*.f64 z (cbrt.f64 z)) 2) 1/2)
(+.f64 1 (-.f64 (*.f64 z (cbrt.f64 z)) 1))
(+.f64 (*.f64 z (cbrt.f64 z)) 0)
(*.f64 z (cbrt.f64 z))
(pow.f64 (*.f64 (pow.f64 z 3) z) 1/3)
(cbrt.f64 (pow.f64 z 4))
(sqrt.f64 (pow.f64 (*.f64 z (cbrt.f64 z)) 2))
(+.f64 1 (-.f64 (*.f64 z (cbrt.f64 z)) 1))
(+.f64 (*.f64 z (cbrt.f64 z)) 0)
(*.f64 z (cbrt.f64 z))
(log.f64 (pow.f64 (exp.f64 z) (cbrt.f64 z)))
(+.f64 1 (-.f64 (*.f64 z (cbrt.f64 z)) 1))
(+.f64 (*.f64 z (cbrt.f64 z)) 0)
(*.f64 z (cbrt.f64 z))
(cbrt.f64 (*.f64 (pow.f64 z 3) z))
(cbrt.f64 (pow.f64 z 4))
(cbrt.f64 (*.f64 z (pow.f64 z 3)))
(cbrt.f64 (pow.f64 z 4))
(expm1.f64 (log1p.f64 (*.f64 z (cbrt.f64 z))))
(+.f64 1 (-.f64 (*.f64 z (cbrt.f64 z)) 1))
(+.f64 (*.f64 z (cbrt.f64 z)) 0)
(*.f64 z (cbrt.f64 z))
(exp.f64 (log.f64 (*.f64 z (cbrt.f64 z))))
(+.f64 1 (-.f64 (*.f64 z (cbrt.f64 z)) 1))
(+.f64 (*.f64 z (cbrt.f64 z)) 0)
(*.f64 z (cbrt.f64 z))
(log1p.f64 (expm1.f64 (*.f64 z (cbrt.f64 z))))
(+.f64 1 (-.f64 (*.f64 z (cbrt.f64 z)) 1))
(+.f64 (*.f64 z (cbrt.f64 z)) 0)
(*.f64 z (cbrt.f64 z))

localize50.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(*.f64 z (sin.f64 y))

Compiler

Compiled 12 to 6 computations (50% saved)

localize116.0ms (1.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(*.f64 z (sin.f64 y))
	99.7%	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
	89.1%	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 35 to 13 computations (62.9% saved)

localize84.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
	99.8%	(*.f64 (sin.f64 y) (sqrt.f64 z))

Compiler

Compiled 25 to 8 computations (68% saved)

series2.0ms (0%)

Counts

1 → 25

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
0.0ms	z	@	inf	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
0.0ms	z	@	0	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
0.0ms	y	@	0	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
0.0ms	x	@	-inf	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`log-prod`
786×	`exp-prod`
742×	`prod-exp`
656×	`pow-prod-down`
562×	`pow-prod-up`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	214	17
2	2507	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)

Outputs
(+.f64 x (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) x)
(+.f64 0 (fma.f64 (sin.f64 y) z x))
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x))) 1)
(*.f64 (fma.f64 (sin.f64 y) z x) 1)
(*.f64 1 (fma.f64 (sin.f64 y) z x))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (.f64 x x) (.f64 (*.f64 (sin.f64 y) z) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
(pow.f64 (fma.f64 (sin.f64 y) z x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 y) z x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (sin.f64 y)) z)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 y)) z) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z x)))

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-r`
946×	`associate-l`
736×	`associate-+r+`
714×	`fma-def`
700×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1025
1	281	991
2	840	983
3	4815	951

Stop Event

1×	node limit

Counts

61 → 60

Calls

Call 1

Inputs
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (*.f64 (pow.f64 y 3) z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 1/120 (*.f64 (pow.f64 y 5) z)) x)))
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
x
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 x (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) x)
(+.f64 0 (fma.f64 (sin.f64 y) z x))
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x))) 1)
(*.f64 (fma.f64 (sin.f64 y) z x) 1)
(*.f64 1 (fma.f64 (sin.f64 y) z x))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (.f64 x x) (.f64 (*.f64 (sin.f64 y) z) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
(pow.f64 (fma.f64 (sin.f64 y) z x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 y) z x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (sin.f64 y)) z)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 y)) z) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z x)))

Outputs
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) x))
(fma.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 1/120 (*.f64 (pow.f64 y 5) z)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 1/120 (.f64 z (pow.f64 y 5)) x)))
(fma.f64 y z (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5))) x))
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
x
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 (sin.f64 y) z))
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 (sin.f64 y) z) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 0 (fma.f64 (sin.f64 y) z x))
(fma.f64 z (sin.f64 y) x)
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))))
(fma.f64 z (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x))) 1)
(fma.f64 z (sin.f64 y) x)
(*.f64 (fma.f64 (sin.f64 y) z x) 1)
(fma.f64 z (sin.f64 y) x)
(*.f64 1 (fma.f64 (sin.f64 y) z x))
(fma.f64 z (sin.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2))
(fma.f64 z (sin.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (.f64 x x) (.f64 (*.f64 (sin.f64 y) z) x))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x (-.f64 x (.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x x)) (fma.f64 (sin.f64 y) z (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (fma.f64 z (sin.f64 y) x) 1)
(pow.f64 (fma.f64 (sin.f64 y) z x) 1)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 3)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2) 1/2)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) 1/3)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 2)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (sin.f64 y) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (sin.f64 y) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))) (sqrt.f64 (log.f64 (fma.f64 z (sin.f64 y) x))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2))
(fma.f64 z (sin.f64 y) x)
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z x))))
(fma.f64 z (sin.f64 y) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (sin.f64 y)) z)))
(fma.f64 z (sin.f64 y) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 y)) z) (+.f64 1 (expm1.f64 x))))
(fma.f64 z (sin.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3))
(fma.f64 z (sin.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1) 1))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x))) 3))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z x))) 1/3))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))) 2))
(fma.f64 z (sin.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)

localize85.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 (cbrt.f64 x) (cos.f64 y))
✓	99.7%	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
✓	99.2%	(pow.f64 (cbrt.f64 x) 2)
✓	99.1%	(cbrt.f64 x)

Compiler

Compiled 37 to 14 computations (62.2% saved)

series11.0ms (0.1%)

Counts

4 → 39

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
1.0ms	z	@	0	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
1.0ms	y	@	inf	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
1.0ms	y	@	inf	(*.f64 (cbrt.f64 x) (cos.f64 y))
1.0ms	x	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))

rewrite124.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`log-prod`
828×	`pow-prod-down`
672×	`pow-prod-up`
592×	`pow-exp`
478×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	275	54
2	3139	50

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
(*.f64 (cbrt.f64 x) (cos.f64 y))

Outputs
(+.f64 0 (cbrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 x 3) 1/9)
(pow.f64 (*.f64 x x) 1/6)
(pow.f64 (sqrt.f64 x) 2/3)
(pow.f64 (pow.f64 x 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(+.f64 0 (cbrt.f64 (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) 1)
(.f64 1 (cbrt.f64 (.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x x)))))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x))))
(exp.f64 (*.f64 2/3 (log.f64 x)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 x) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 x))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x))))
(+.f64 (.f64 y z) (.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(+.f64 0 (fma.f64 x (cos.f64 y) (*.f64 y z)))
(+.f64 (.f64 (.f64 x (cos.f64 y)) 1) (*.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))) 1)
(.f64 (fma.f64 x (cos.f64 y) (.f64 y z)) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 y z)))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) y) (exp.f64 (.f64 x (cos.f64 y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y z))) (exp.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (.f64 (exp.f64 (.f64 x (cos.f64 y))) (+.f64 1 (expm1.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 y z)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(+.f64 0 (*.f64 (cbrt.f64 x) (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))) 1)
(pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 2) 1/2)
(pow.f64 (*.f64 x (pow.f64 (cos.f64 y) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))))
(cbrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cos.f64 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (cos.f64 y) 3))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

880×	`log-prod`
850×	`distribute-lft-in`
770×	`unswap-sqr`
760×	`distribute-rgt-in`
696×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	2568
1	698	2428
2	2247	2416
3	7144	2416

Stop Event

1×	node limit

Counts

156 → 159

Calls

Call 1

Inputs
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (.f64 (pow.f64 y 2) x))) (*.f64 (pow.f64 1 1/3) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (.f64 (pow.f64 y 2) x))) (+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 1/24 (.f64 (pow.f64 1 1/3) (.f64 (pow.f64 y 4) x))))))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/2 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))) (.f64 1/24 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 4)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 6))) (.f64 1/24 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 4))))))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(+.f64 0 (cbrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 x 3) 1/9)
(pow.f64 (*.f64 x x) 1/6)
(pow.f64 (sqrt.f64 x) 2/3)
(pow.f64 (pow.f64 x 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(+.f64 0 (cbrt.f64 (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) 1)
(.f64 1 (cbrt.f64 (.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x x)))))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x))))
(exp.f64 (*.f64 2/3 (log.f64 x)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 x) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 x))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x))))
(+.f64 (.f64 y z) (.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(+.f64 0 (fma.f64 x (cos.f64 y) (*.f64 y z)))
(+.f64 (.f64 (.f64 x (cos.f64 y)) 1) (*.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))) 1)
(.f64 (fma.f64 x (cos.f64 y) (.f64 y z)) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 y z)))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) y) (exp.f64 (.f64 x (cos.f64 y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y z))) (exp.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (.f64 (exp.f64 (.f64 x (cos.f64 y))) (+.f64 1 (expm1.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 y z)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(+.f64 0 (*.f64 (cbrt.f64 x) (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))) 1)
(pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 2) 1/2)
(pow.f64 (*.f64 x (pow.f64 (cos.f64 y) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))))
(cbrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cos.f64 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (cos.f64 y) 3))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))

Outputs
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) x))
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (.f64 (pow.f64 y 2) x))) (*.f64 (pow.f64 1 1/3) x)))
(fma.f64 y z (+.f64 x (.f64 -1/2 (.f64 x (*.f64 y y)))))
(fma.f64 y z (fma.f64 -1/2 (.f64 y (.f64 y x)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (.f64 (pow.f64 y 2) x))) (+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 1/24 (.f64 (pow.f64 1 1/3) (.f64 (pow.f64 y 4) x))))))
(fma.f64 y z (+.f64 (.f64 -1/2 (.f64 x (.f64 y y))) (+.f64 x (.f64 1/24 (*.f64 x (pow.f64 y 4))))))
(fma.f64 y z (fma.f64 -1/2 (.f64 y (.f64 y x)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 y z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
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(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 3))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 y z)) 3)) 1/3))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) 2))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(+.f64 0 (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) (cbrt.f64 x))
(pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 1)
(*.f64 (cos.f64 y) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 3)
(*.f64 (cos.f64 y) (cbrt.f64 x))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 2) 1/2)
(*.f64 (cos.f64 y) (cbrt.f64 x))
(pow.f64 (*.f64 x (pow.f64 (cos.f64 y) 3)) 1/3)
(cbrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 3)))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 2)
(*.f64 (cos.f64 y) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 2))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(cbrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cos.f64 y))) 1))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 1) 1))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y)))) 3))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (cos.f64 y) 3))) 1/3))
(cbrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 3)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y)))) 2))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))
(*.f64 (cos.f64 y) (cbrt.f64 x))

eval178.0ms (2.1%)

Compiler: Compiled 9363 to 3555 computations (62% saved)

prune148.0ms (1.7%)

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	572	8	580
Fresh	5	11	16
Picked	0	1	1
Done	2	8	10
Total	579	28	607

Accurracy

100.0%

Counts

607 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.0%	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 y z))
✓	65.1%	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
✓	87.8%	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 (.f64 z (cbrt.f64 z)))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
	48.6%	(fma.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	60.3%	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	32.4%	(fma.f64 (exp.f64 (.f64 (log.f64 x) 2/3)) (.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 y z))
	41.8%	(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 y z))
	55.4%	(fma.f64 z y x)
	16.8%	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
	49.3%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	34.6%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 y z))
✓	98.6%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	65.1%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 y z))
	76.8%	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	55.4%	(+.f64 (*.f64 y z) x)
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	43.6%	(+.f64 x (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2)) 2))
	78.5%	(+.f64 x (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
	42.1%	(+.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	38.8%	(+.f64 x (.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	79.1%	(+.f64 x (*.f64 z (sin.f64 y)))
	48.6%	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (.f64 z (sin.f64 y)))))
	62.4%	(*.f64 (cos.f64 y) x)
✓	38.7%	(*.f64 z (sin.f64 y))
✓	15.6%	(*.f64 y z)
	19.7%	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
	43.7%	x

Compiler

Compiled 362 to 239 computations (34% saved)

regimes92.0ms (1.1%)

Counts

47 → 1

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(+.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 y z))
(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 y z))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
(+.f64 x (.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(+.f64 x (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2)) 2))
(+.f64 x (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 y z))
(fma.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) x)
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3/2)) 2))
(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (exp.f64 (.f64 (log.f64 x) 2/3)) (.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 y z))
(fma.f64 (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (cos.f64 y))))) 3) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 y z))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 (.f64 z (cbrt.f64 z)))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))

Calls

4 calls:

21.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
20.0ms	y
20.0ms	x
20.0ms	z

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 539 to 173 computations (67.9% saved)

regimes33.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
8.0ms	y
7.0ms	z
7.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 102 to 45 computations (55.9% saved)

regimes129.0ms (1.5%)

Counts

10 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))

Outputs
(*.f64 (cos.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)

Calls

3 calls:

80.0ms	y
30.0ms	z
17.0ms	x

Results

Accuracy	Segments	Branch
89.9%	3	`x`
86.1%	7	`y`
88.0%	3	`z`

Compiler

Compiled 67 to 30 computations (55.2% saved)

bsearch65.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.447216184282595e-28	6.985294952710473e-26
35.0ms	-1.2211661604385586e+80	-1.7122244397870418e+72

Results

27.0ms	176×	body	256	valid
25.0ms	65×	body	1024	valid
10.0ms	31×	body	512	valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

regimes203.0ms (2.4%)

Counts

7 → 8

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 y z x)
(fma.f64 z y x)

Outputs
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 y z x)
(*.f64 z (sin.f64 y))

Calls

3 calls:

110.0ms	y
47.0ms	x
44.0ms	z

Results

Accuracy	Segments	Branch
77.5%	3	`x`
84.9%	8	`y`
79.6%	9	`z`

Compiler

Compiled 40 to 20 computations (50% saved)

bsearch342.0ms (4%)

Algorithm

7×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.3250192720697089e-17	3080906947.97095
31.0ms	-430353896.9942989	-1.9471002855106665e-11
23.0ms	-2.145947593452314e+46	-2.7697802237173713e+42
37.0ms	-5.500753749183611e+77	-8.46120549621656e+72
66.0ms	-1.5093954955201942e+156	-5.79534828104822e+140
84.0ms	-3.862710989671963e+236	-5.0198659029472635e+234
71.0ms	-4.355455051344974e+274	-1.3420902065581887e+274

Results

159.0ms	208×	body	1024	valid
113.0ms	608×	body	256	valid
57.0ms	144×	body	512	valid

Compiler

Compiled 978 to 711 computations (27.3% saved)

regimes176.0ms (2%)

Counts

5 → 8

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)

Outputs
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))

Calls

3 calls:

117.0ms	y
40.0ms	z
17.0ms	x

Results

Accuracy	Segments	Branch
77.5%	3	`x`
84.9%	8	`y`
79.6%	9	`z`

Compiler

Compiled 32 to 18 computations (43.8% saved)

bsearch260.0ms (3%)

Algorithm

7×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	1.3250192720697089e-17	3080906947.97095
44.0ms	-430353896.9942989	-1.9471002855106665e-11
26.0ms	-2.145947593452314e+46	-2.7697802237173713e+42
31.0ms	-5.500753749183611e+77	-8.46120549621656e+72
48.0ms	-1.5093954955201942e+156	-5.79534828104822e+140
48.0ms	-3.862710989671963e+236	-5.0198659029472635e+234
34.0ms	-4.355455051344974e+274	-1.3420902065581887e+274

Results

108.0ms	553×	body	256	valid
79.0ms	192×	body	1024	valid
62.0ms	215×	body	512	valid

Compiler

Compiled 1000 to 733 computations (26.7% saved)

regimes103.0ms (1.2%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))

Outputs
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))

Calls

3 calls:

64.0ms	x
23.0ms	z
15.0ms	y

Results

Accuracy	Segments	Branch
63.3%	3	`x`
77.1%	3	`y`
63.8%	5	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch96.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
70.0ms	1.3250192720697089e-17	3080906947.97095
26.0ms	-18604449595500340.0	-430353896.9942989

Results

92.0ms

320×

body

256

valid

Compiler

Compiled 358 to 253 computations (29.3% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)

Outputs
(+.f64 (*.f64 y z) x)

Calls

3 calls:

4.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
55.4%	1	`x`
55.4%	1	`y`
55.4%	1	`z`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes20.0ms (0.2%)

Accuracy

Total -27.4b remaining (-79%)

Threshold costs -27.4b (-79%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(*.f64 y z)

Outputs
x
(*.f64 y z)

Calls

3 calls:

9.0ms	z
8.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
45.6%	3	`x`
43.7%	1	`y`
45.8%	2	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch33.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	2.2413539729114672e+164	1.07821441634751e+166

Results

14.0ms	34×	body	1024	valid
10.0ms	68×	body	256	valid
8.0ms	10×	body	512	valid

Compiler

Compiled 102 to 76 computations (25.5% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
6×	`*-commutative`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	485
1	94	485

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -2299999999999999851128222259144135968344773549223308672231624187779743744000) (.f64 (cos.f64 y) x) (if (<=.f64 x 4704063440315053/348449143727040986586495598010130648530944) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -34999999999999996287277920467615565767186332046218846354819060142019305495806140392987900670108024880337924596205464405531677217360542945433933864969245969568517728814329901217239480862324244533445403444264397220496168022631559485255975761599558516729931481304161583523430400) (.f64 z (sin.f64 y)) (if (<=.f64 y -95999999999999996067093219749030317180777092867543806619894422750573279627118610947491784041118127427850380960664125795171154678816526027187874505755744844811342152656181005150570113819431613187437820345228532729204324201204950555951104) (.f64 (cos.f64 y) x) (if (<=.f64 y -619999999999999996113295594162848042197896295466847529606577149856040732662672912432337095789434270804976835216428344541539297714277167716785309494542336) (.f64 z (sin.f64 y)) (if (<=.f64 y -780000000000000015013241309309897559725160663207902065563998927654360186880) (.f64 (cos.f64 y) x) (if (<=.f64 y -2249999999999999921182062819469327838388158464) (.f64 z (sin.f64 y)) (if (<=.f64 y -7600058558368335/36893488147419103232) (.f64 (cos.f64 y) x) (if (<=.f64 y 4150517416584649/1152921504606846976) (fma.f64 y z x) (*.f64 z (sin.f64 y)))))))))
(if (<=.f64 y -15999999999999999126437467145482798153263624671287082546121765757211499107886625909037474605130804474384627316793140941341550547058218959560127828517387132521722672643614692400810945044178680271650837676644249681047457061910029605620688974776624743018714886510475439260041216) (.f64 z (sin.f64 y)) (if (<=.f64 y -5999999999999999754193326234314394823798568304221487913743401421910829976694913184218236502569882964240648810041507862198197167426032876699242156609734052800708884541011312821910632113714475824214863771576783295575270262575309409746944) (.f64 (cos.f64 y) x) (if (<=.f64 y -2599999999999999888446268249941945205611624103411842222653691759554081368654279700263430095510215124737899138239260670710112189153990972780052480) (.f64 z (sin.f64 y)) (if (<=.f64 y -42000000000000001333750431124433612527765488976574808201089382533455513911296) (.f64 (cos.f64 y) x) (if (<=.f64 y -2600000000000000070899071509438313471160614912) (.f64 z (sin.f64 y)) (if (<=.f64 y -6802236877180397/1152921504606846976) (.f64 (cos.f64 y) x) (if (<=.f64 y 208967022709991/36028797018963968) (+.f64 (.f64 y z) x) (.f64 z (sin.f64 y)))))))))
(if (<=.f64 y -440000000) (.f64 z (sin.f64 y)) (if (<=.f64 y 3366530793451993/2305843009213693952) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 z 8599999999999999913043353061101664502340295234323446266350267449385362573557080753331849751092369624487222759930499217300158578572467842578983506700801923560410972160) x (*.f64 y z))
x

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(if (<=.f64 x -2299999999999999851128222259144135968344773549223308672231624187779743744000) (.f64 (cos.f64 y) x) (if (<=.f64 x 4704063440315053/348449143727040986586495598010130648530944) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -2299999999999999851128222259144135968344773549223308672231624187779743744000) (not (<=.f64 x 4704063440315053/348449143727040986586495598010130648530944))) (.f64 x (cos.f64 y)) (+.f64 x (.f64 (sin.f64 y) z)))
(if (<=.f64 y -34999999999999996287277920467615565767186332046218846354819060142019305495806140392987900670108024880337924596205464405531677217360542945433933864969245969568517728814329901217239480862324244533445403444264397220496168022631559485255975761599558516729931481304161583523430400) (.f64 z (sin.f64 y)) (if (<=.f64 y -95999999999999996067093219749030317180777092867543806619894422750573279627118610947491784041118127427850380960664125795171154678816526027187874505755744844811342152656181005150570113819431613187437820345228532729204324201204950555951104) (.f64 (cos.f64 y) x) (if (<=.f64 y -619999999999999996113295594162848042197896295466847529606577149856040732662672912432337095789434270804976835216428344541539297714277167716785309494542336) (.f64 z (sin.f64 y)) (if (<=.f64 y -780000000000000015013241309309897559725160663207902065563998927654360186880) (.f64 (cos.f64 y) x) (if (<=.f64 y -2249999999999999921182062819469327838388158464) (.f64 z (sin.f64 y)) (if (<=.f64 y -7600058558368335/36893488147419103232) (.f64 (cos.f64 y) x) (if (<=.f64 y 4150517416584649/1152921504606846976) (fma.f64 y z x) (*.f64 z (sin.f64 y)))))))))
(if (<=.f64 y -34999999999999996287277920467615565767186332046218846354819060142019305495806140392987900670108024880337924596205464405531677217360542945433933864969245969568517728814329901217239480862324244533445403444264397220496168022631559485255975761599558516729931481304161583523430400) (.f64 (sin.f64 y) z) (if (<=.f64 y -95999999999999996067093219749030317180777092867543806619894422750573279627118610947491784041118127427850380960664125795171154678816526027187874505755744844811342152656181005150570113819431613187437820345228532729204324201204950555951104) (.f64 x (cos.f64 y)) (if (<=.f64 y -619999999999999996113295594162848042197896295466847529606577149856040732662672912432337095789434270804976835216428344541539297714277167716785309494542336) (.f64 (sin.f64 y) z) (if (<=.f64 y -780000000000000015013241309309897559725160663207902065563998927654360186880) (.f64 x (cos.f64 y)) (if (<=.f64 y -2249999999999999921182062819469327838388158464) (.f64 (sin.f64 y) z) (if (<=.f64 y -7600058558368335/36893488147419103232) (.f64 x (cos.f64 y)) (if (<=.f64 y 4150517416584649/1152921504606846976) (fma.f64 y z x) (*.f64 (sin.f64 y) z))))))))
(if (<=.f64 y -15999999999999999126437467145482798153263624671287082546121765757211499107886625909037474605130804474384627316793140941341550547058218959560127828517387132521722672643614692400810945044178680271650837676644249681047457061910029605620688974776624743018714886510475439260041216) (.f64 z (sin.f64 y)) (if (<=.f64 y -5999999999999999754193326234314394823798568304221487913743401421910829976694913184218236502569882964240648810041507862198197167426032876699242156609734052800708884541011312821910632113714475824214863771576783295575270262575309409746944) (.f64 (cos.f64 y) x) (if (<=.f64 y -2599999999999999888446268249941945205611624103411842222653691759554081368654279700263430095510215124737899138239260670710112189153990972780052480) (.f64 z (sin.f64 y)) (if (<=.f64 y -42000000000000001333750431124433612527765488976574808201089382533455513911296) (.f64 (cos.f64 y) x) (if (<=.f64 y -2600000000000000070899071509438313471160614912) (.f64 z (sin.f64 y)) (if (<=.f64 y -6802236877180397/1152921504606846976) (.f64 (cos.f64 y) x) (if (<=.f64 y 208967022709991/36028797018963968) (+.f64 (.f64 y z) x) (.f64 z (sin.f64 y)))))))))
(if (<=.f64 y -15999999999999999126437467145482798153263624671287082546121765757211499107886625909037474605130804474384627316793140941341550547058218959560127828517387132521722672643614692400810945044178680271650837676644249681047457061910029605620688974776624743018714886510475439260041216) (.f64 (sin.f64 y) z) (if (<=.f64 y -5999999999999999754193326234314394823798568304221487913743401421910829976694913184218236502569882964240648810041507862198197167426032876699242156609734052800708884541011312821910632113714475824214863771576783295575270262575309409746944) (.f64 x (cos.f64 y)) (if (<=.f64 y -2599999999999999888446268249941945205611624103411842222653691759554081368654279700263430095510215124737899138239260670710112189153990972780052480) (.f64 (sin.f64 y) z) (if (<=.f64 y -42000000000000001333750431124433612527765488976574808201089382533455513911296) (.f64 x (cos.f64 y)) (if (<=.f64 y -2600000000000000070899071509438313471160614912) (.f64 (sin.f64 y) z) (if (<=.f64 y -6802236877180397/1152921504606846976) (.f64 x (cos.f64 y)) (if (<=.f64 y 208967022709991/36028797018963968) (+.f64 x (.f64 y z)) (.f64 (sin.f64 y) z))))))))
(if (<=.f64 y -440000000) (.f64 z (sin.f64 y)) (if (<=.f64 y 3366530793451993/2305843009213693952) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (or (<=.f64 y -440000000) (not (<=.f64 y 3366530793451993/2305843009213693952))) (.f64 (sin.f64 y) z) (+.f64 x (.f64 y z)))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 z 8599999999999999913043353061101664502340295234323446266350267449385362573557080753331849751092369624487222759930499217300158578572467842578983506700801923560410972160) x (*.f64 y z))
x

Compiler

Compiled 216 to 118 computations (45.4% saved)

soundness204.0ms (2.4%)

Rules

1150×	`log-prod`
976×	`unswap-sqr`
842×	`cancel-sign-sub-inv`
798×	`pow-prod-down`
730×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	226	45
2	2967	45
0	308	4340
1	726	4242
2	2594	4236

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 50 to 18 computations (64% saved)

end128.0ms (1.5%)

Compiler: Compiled 408 to 160 computations (60.8% saved)