Details

analyze226.0ms (2.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	8
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	9
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.9s (34%)

Results

1.2s	2097×	body	1024	valid
1.2s	5150×	body	256	valid
444.0ms	1005×	body	512	valid
3.0ms	4×	body	2048	valid

Bogosity

preprocess15.0ms (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 (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 y (sin.f64 x)) (.f64 z (cos.f64 x)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 z)) (.f64 y (cos.f64 z)))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify56.0ms (0.7%)

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 (sin.f64 y)) (.f64 z (cos.f64 y)))

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

99.8%

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize10.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series38.0ms (0.5%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
32.0ms	x	@	inf	(*.f64 x (sin.f64 y))
1.0ms	x	@	0	(*.f64 x (sin.f64 y))
1.0ms	z	@	-inf	(*.f64 z (cos.f64 y))
1.0ms	z	@	0	(*.f64 z (cos.f64 y))
1.0ms	y	@	0	(*.f64 x (sin.f64 y))

rewrite80.0ms (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	50
1	226	50
2	2967	50

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

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

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

simplify198.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

942×	`cancel-sign-sub-inv`
730×	`fma-neg`
572×	`distribute-lft-neg-in`
570×	`distribute-rgt-neg-in`
548×	`difference-of-squares`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	376	4819
1	857	4671
2	3240	4671

Stop Event

1×	node limit

Counts

223 → 197

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sin.f64 y)
✓	99.9%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	99.8%	(*.f64 z (cos.f64 y))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite100.0ms (1.2%)

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

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

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-neg`
802×	`fma-def`
694×	`associate-+r+`
656×	`associate-+l+`
468×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1884
1	284	1834
2	908	1830
3	3515	1788
4	7646	1788

Stop Event

1×	node limit

Counts

72 → 62

Calls

Call 1

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

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

eval125.0ms (1.5%)

Compiler: Compiled 5075 to 1646 computations (67.6% saved)

prune133.0ms (1.6%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	307	26	333
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	307	28	335

Accurracy

100.0%

Counts

335 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
	99.3%	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
	98.7%	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
▶	99.1%	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
	48.9%	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	99.4%	(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	99.8%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	76.6%	(fma.f64 x (sin.f64 y) z)
	49.6%	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
	56.9%	(/.f64 1 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
	55.6%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
▶	99.0%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
▶	52.6%	(+.f64 (*.f64 y x) z)
	59.7%	(+.f64 (.f64 x (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)) (.f64 z (cos.f64 y)))
	52.1%	(+.f64 (.f64 x (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 z (cos.f64 y)))
	86.0%	(+.f64 (.f64 x (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))) (*.f64 z (cos.f64 y)))
	50.0%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	98.6%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	76.6%	(+.f64 (*.f64 x (sin.f64 y)) z)
	99.7%	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) (.f64 z (cos.f64 y)))
▶	86.5%	(+.f64 (.f64 x (log.f64 (exp.f64 (sin.f64 y)))) (.f64 z (cos.f64 y)))
	91.7%	(+.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 3))) (.f64 z (cos.f64 y)))
	51.8%	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
	39.9%	(*.f64 (sin.f64 y) x)
	61.2%	(*.f64 (cos.f64 y) z)
	39.6%	z

Compiler

Compiled 755 to 508 computations (32.7% saved)

localize13.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sin.f64 y)
✓	99.9%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	99.8%	(*.f64 (sin.f64 y) x)

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

15 calls:

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

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	213	34
2	2506	34

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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

simplify132.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1886×	`fma-def`
842×	`fma-neg`
760×	`unswap-sqr`
722×	`distribute-lft-in`
708×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2504
1	462	2420
2	1529	2388
3	7103	2388

Stop Event

1×	node limit

Counts

106 → 111

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize24.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(exp.f64 (sin.f64 y))
✓	99.8%	(*.f64 x (log.f64 (exp.f64 (sin.f64 y))))
	99.8%	(*.f64 z (cos.f64 y))
✓	93.9%	(log.f64 (exp.f64 (sin.f64 y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(exp.f64 (sin.f64 y))
0.0ms	y	@	inf	(exp.f64 (sin.f64 y))
0.0ms	y	@	0	(log.f64 (exp.f64 (sin.f64 y)))
0.0ms	y	@	-inf	(exp.f64 (sin.f64 y))
0.0ms	y	@	0	(*.f64 x (log.f64 (exp.f64 (sin.f64 y))))

rewrite100.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`pow1`
1280×	`add-exp-log`
1280×	`log1p-expm1-u`
1280×	`expm1-log1p-u`
1246×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	159	25
2	1768	25

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(log.f64 (exp.f64 (sin.f64 y)))
(*.f64 x (log.f64 (exp.f64 (sin.f64 y))))
(exp.f64 (sin.f64 y))

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

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`fma-def`
1102×	`log-prod`
1042×	`unswap-sqr`
538×	`fma-neg`
402×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1073
1	307	1049
2	1131	911
3	5225	911

Stop Event

1×	node limit

Counts

89 → 84

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
1
(+.f64 1 y)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))
(+.f64 0 (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (exp.f64 (sin.f64 y))) 1)
(*.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 1 (exp.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2) (cbrt.f64 (exp.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(pow.f64 (exp.f64 (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) 2)
(pow.f64 (exp.f64 1) (sin.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 y))))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) x)
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (fma.f64 y x (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (fma.f64 y x (fma.f64 -1/5040 (.f64 (pow.f64 y 7) x) (.f64 -1/6 (.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7)))) (.f64 x (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 (+.f64 y 1) (.f64 1/2 (.f64 y y)))
(+.f64 1 (fma.f64 1/2 (*.f64 y y) y))
(+.f64 y (fma.f64 1/2 (*.f64 y y) 1))
(+.f64 1 (+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 y 1) (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y))))
(+.f64 y (+.f64 1 (fma.f64 1/2 (.f64 y y) (.f64 -1/8 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (pow.f64 y 4) y) (fma.f64 1/2 (*.f64 y y) 1))
(+.f64 0 (sin.f64 y))
(sin.f64 y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(-.f64 (+.f64 1 (exp.f64 (sin.f64 y))) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (exp.f64 (sin.f64 y)) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 1 (exp.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2) (cbrt.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (sin.f64 y)) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 3)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1/3)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) 2)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 1) (sin.f64 y))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(log.f64 (exp.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))

localize17.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(*.f64 x (sin.f64 y))
	99.8%	(*.f64 z (cos.f64 y))
✓	99.0%	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
✓	86.5%	(cbrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series57.0ms (0.7%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
49.0ms	y	@	inf	(cbrt.f64 (*.f64 x (sin.f64 y)))
2.0ms	y	@	-inf	(cbrt.f64 (*.f64 x (sin.f64 y)))
1.0ms	x	@	0	(cbrt.f64 (*.f64 x (sin.f64 y)))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)

rewrite63.0ms (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
(cbrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1630×	`fma-def`
1212×	`unswap-sqr`
1062×	`distribute-rgt-in`
1024×	`log-prod`
1008×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	990
1	253	990
2	726	990
3	3105	974

Stop Event

1×	node limit

Counts

70 → 61

Calls

Call 1

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

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

localize32.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(*.f64 z (cos.f64 y))
✓	99.5%	(*.f64 (cbrt.f64 x) (sin.f64 y))
✓	99.3%	(pow.f64 (cbrt.f64 x) 2)
✓	99.1%	(cbrt.f64 x)

Compiler

Compiled 40 to 14 computations (65% saved)

series5.0ms (0.1%)

Counts

3 → 12

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(*.f64 (cbrt.f64 x) (sin.f64 y))
1.0ms	y	@	0	(*.f64 (cbrt.f64 x) (sin.f64 y))
0.0ms	x	@	-inf	(*.f64 (cbrt.f64 x) (sin.f64 y))
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	0	(*.f64 (cbrt.f64 x) (sin.f64 y))

rewrite94.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`pow1`
1526×	`add-exp-log`
1526×	`log1p-expm1-u`
1526×	`expm1-log1p-u`
1488×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	196	31
2	2173	31

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2136×	`fma-def`
968×	`distribute-rgt-in`
938×	`distribute-lft-in`
906×	`unswap-sqr`
698×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1207
1	275	1039
2	1076	877
3	3597	839

Stop Event

1×	node limit

Counts

61 → 78

Calls

Call 1

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

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

eval249.0ms (2.9%)

Compiler: Compiled 9070 to 3379 computations (62.7% saved)

prune159.0ms (1.9%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	534	6	540
Fresh	2	19	21
Picked	1	0	1
Done	2	4	6
Total	539	29	568

Accurracy

100.0%

Counts

568 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
	99.3%	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
▶	98.7%	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
	75.9%	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) z)
	48.9%	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	99.4%	(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	99.8%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	76.6%	(fma.f64 x (sin.f64 y) z)
	49.6%	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2)
	56.9%	(/.f64 1 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
▶	55.6%	(+.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) 2) (.f64 z (cos.f64 y)))
	75.8%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
✓	52.6%	(+.f64 (*.f64 y x) z)
	59.7%	(+.f64 (.f64 x (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)) (.f64 z (cos.f64 y)))
	52.1%	(+.f64 (.f64 x (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 z (cos.f64 y)))
	86.5%	(+.f64 (.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) (.f64 z (cos.f64 y)))
	86.0%	(+.f64 (.f64 x (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))) (*.f64 z (cos.f64 y)))
	50.0%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	98.6%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	76.6%	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	99.7%	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) (.f64 z (cos.f64 y)))
▶	63.3%	(+.f64 (*.f64 x (log.f64 (exp.f64 (sin.f64 y)))) z)
	91.7%	(+.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 3))) (.f64 z (cos.f64 y)))
	51.8%	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
	39.9%	(*.f64 (sin.f64 y) x)
▶	61.2%	(*.f64 (cos.f64 y) z)
	39.6%	z

Compiler

Compiled 750 to 508 computations (32.3% saved)

localize16.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(expm1.f64 (sin.f64 y))
✓	99.8%	(*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y))))
	99.8%	(*.f64 z (cos.f64 y))
✓	99.7%	(log1p.f64 (expm1.f64 (sin.f64 y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(expm1.f64 (sin.f64 y))
0.0ms	y	@	0	(log1p.f64 (expm1.f64 (sin.f64 y)))
0.0ms	y	@	-inf	(expm1.f64 (sin.f64 y))
0.0ms	y	@	inf	(expm1.f64 (sin.f64 y))
0.0ms	y	@	0	(*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y))))

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`pow1`
1308×	`log1p-expm1-u`
1306×	`add-exp-log`
1306×	`expm1-log1p-u`
1276×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	156	25
2	1789	25

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (sin.f64 y)))
(*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1038×	`fma-def`
970×	`log-prod`
862×	`unswap-sqr`
836×	`times-frac`
424×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1091
1	318	1063
2	1197	1033
3	4997	1033

Stop Event

1×	node limit

Counts

93 → 83

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(+.f64 (exp.f64 (sin.f64 y)) -1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 (expm1.f64 (sin.f64 y)) 1)
(*.f64 1 (expm1.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (.f64 (exp.f64 (sin.f64 y)) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))
(pow.f64 (expm1.f64 (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) x)
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (fma.f64 y x (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (fma.f64 y x (fma.f64 -1/5040 (.f64 (pow.f64 y 7) x) (.f64 -1/6 (.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7)))) (.f64 x (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (.f64 1/2 (.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y))))
(+.f64 y (fma.f64 1/2 (.f64 y y) (.f64 -1/8 (pow.f64 y 4))))
(fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) y))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 5) -1/15))))
(+.f64 y (fma.f64 y (.f64 y 1/2) (fma.f64 (pow.f64 y 5) -1/15 (.f64 -1/8 (pow.f64 y 4)))))
(+.f64 (fma.f64 y (.f64 y 1/2) y) (fma.f64 (pow.f64 y 5) -1/15 (.f64 -1/8 (pow.f64 y 4))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(+.f64 (exp.f64 (sin.f64 y)) -1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(*.f64 (expm1.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(*.f64 1 (expm1.f64 (sin.f64 y)))
(expm1.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))
(expm1.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (.f64 (exp.f64 (sin.f64 y)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) -1) (fma.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y)) (+.f64 (exp.f64 (sin.f64 y)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 y)) 3)) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (exp.f64 (*.f64 (sin.f64 y) 2)))))
(/.f64 (expm1.f64 (*.f64 3 (sin.f64 y))) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 y)) 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))
(expm1.f64 (sin.f64 y))
(pow.f64 (expm1.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)
(expm1.f64 (sin.f64 y))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)
(expm1.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)
(expm1.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))
(expm1.f64 (sin.f64 y))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))
(expm1.f64 (sin.f64 y))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))

localize14.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`pow1`
1156×	`add-exp-log`
1156×	`log1p-expm1-u`
1156×	`expm1-log1p-u`
1128×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	135	11
2	1581	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1360×	`fma-def`
1038×	`log-prod`
908×	`distribute-lft-out`
652×	`distribute-rgt-in`
638×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	341
1	130	333
2	415	325
3	2057	319
4	5744	319

Stop Event

1×	node limit

Counts

23 → 27

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sin.f64 y)
	99.9%	(exp.f64 (sin.f64 y))
	99.8%	(*.f64 x (log.f64 (exp.f64 (sin.f64 y))))
	93.9%	(log.f64 (exp.f64 (sin.f64 y)))

Compiler

Compiled 29 to 8 computations (72.4% saved)

localize16.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(*.f64 (sin.f64 y) x)
	99.8%	(*.f64 z (cos.f64 y))
✓	99.6%	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
✓	87.5%	(sqrt.f64 (*.f64 (sin.f64 y) x))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series15.0ms (0.2%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
3.0ms	y	@	0	(sqrt.f64 (*.f64 (sin.f64 y) x))
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 (sin.f64 y) x))

rewrite87.0ms (1%)

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 (sin.f64 y) x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1030
1	220	910
2	729	790
3	2868	790

Stop Event

1×	node limit

Counts

58 → 55

Calls

Call 1

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

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

localize35.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
✓	99.7%	(*.f64 (cbrt.f64 z) (cos.f64 y))
✓	99.3%	(pow.f64 (cbrt.f64 z) 2)
✓	99.1%	(cbrt.f64 z)

Compiler

Compiled 40 to 14 computations (65% saved)

series12.0ms (0.1%)

Counts

4 → 39

Calls

21 calls:

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

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	294	58
2	3356	54

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

simplify149.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

860×	`distribute-lft-in`
814×	`log-prod`
786×	`exp-prod`
766×	`unswap-sqr`
764×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	2906
1	700	2802
2	2200	2676
3	6962	2676

Stop Event

1×	node limit

Counts

156 → 165

Calls

Call 1

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

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

eval202.0ms (2.4%)

Compiler: Compiled 9824 to 4017 computations (59.1% saved)

prune153.0ms (1.8%)

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	592	14	606
Fresh	11	9	20
Picked	0	1	1
Done	2	6	8
Total	605	30	635

Accurracy

100.0%

Counts

635 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
	99.3%	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
	98.1%	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 z) (cos.f64 y))) 3) (.f64 x (sin.f64 y)))
✓	98.7%	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
▶	75.9%	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) z)
	48.9%	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
▶	99.4%	(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	68.8%	(fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))
✓	99.8%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	76.6%	(fma.f64 x (sin.f64 y) z)
	37.9%	(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
	49.6%	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2)
	29.8%	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
▶	60.1%	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
	44.3%	(+.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2) z)
▶	75.8%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3) z)
	76.6%	(+.f64 (*.f64 (sin.f64 y) x) z)
✓	52.6%	(+.f64 (*.f64 y x) z)
	48.8%	(+.f64 (*.f64 x (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)) z)
	41.3%	(+.f64 (*.f64 x (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) z)
	63.3%	(+.f64 (*.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) z)
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	76.5%	(+.f64 (*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) z)
	63.3%	(+.f64 (*.f64 x (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (sin.f64 y)))))) z)
✓	63.3%	(+.f64 (*.f64 x (log.f64 (exp.f64 (sin.f64 y)))) z)
	68.5%	(+.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 3))) z)
▶	39.9%	(*.f64 (sin.f64 y) x)
✓	61.2%	(*.f64 (cos.f64 y) z)
	39.6%	z

Compiler

Compiled 659 to 452 computations (31.4% saved)

localize18.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
	99.8%	(*.f64 x (sin.f64 y))
✓	99.6%	(cbrt.f64 (cos.f64 y))
✓	99.6%	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)

Compiler

Compiled 45 to 17 computations (62.2% saved)

series17.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	z	@	0	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	y	@	inf	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`pow1`
1526×	`add-exp-log`
1526×	`log1p-expm1-u`
1526×	`expm1-log1p-u`
1488×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	196	45
2	2168	45

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1390×	`unswap-sqr`
1188×	`distribute-rgt-in`
1152×	`distribute-lft-in`
1010×	`log-prod`
832×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1761
1	307	1729
2	1085	1711
3	4641	1701

Stop Event

1×	node limit

Counts

97 → 96

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 3) 1/3)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)
(sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))

Outputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/3 (.f64 y y)))
(fma.f64 -1/3 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (.f64 y y) (.f64 -1/405 (pow.f64 y 6))))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (.f64 y y) (.f64 -1/405 (pow.f64 y 6)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 (.f64 y y) -1/6)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 (*.f64 y y) -1/6 1))
(fma.f64 y (*.f64 y -1/6) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 (.f64 y y) -1/6))))
(fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 (*.f64 y y) -1/6 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 (*.f64 y y) -1/6 1)))
(fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/72 (pow.f64 y 4) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (.f64 -1/3 (.f64 (*.f64 y y) z)))
(.f64 (fma.f64 -1/3 (.f64 y y) 1) z)
(fma.f64 (.f64 y y) (.f64 -1/3 z) z)
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 z (fma.f64 -1/405 (.f64 (pow.f64 y 6) z) (.f64 -1/3 (.f64 (.f64 y y) z))))
(+.f64 z (.f64 z (fma.f64 -1/3 (.f64 y y) (*.f64 -1/405 (pow.f64 y 6)))))
(fma.f64 z (fma.f64 -1/3 (.f64 y y) (.f64 -1/405 (pow.f64 y 6))) z)
(fma.f64 z (fma.f64 -1/405 (pow.f64 y 6) (.f64 y (.f64 -1/3 y))) z)
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(fma.f64 -1/1701 (.f64 (pow.f64 y 8) z) (+.f64 z (fma.f64 -1/405 (.f64 (pow.f64 y 6) z) (.f64 -1/3 (.f64 (*.f64 y y) z)))))
(+.f64 (.f64 z (fma.f64 -1/3 (.f64 y y) (.f64 -1/405 (pow.f64 y 6)))) (fma.f64 -1/1701 (.f64 (pow.f64 y 8) z) z))
(+.f64 z (.f64 z (fma.f64 -1/3 (.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) (*.f64 -1/1701 (pow.f64 y 8))))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(pow.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/6) 4)
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 3) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (.f64 z z)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))

localize6.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize30.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(*.f64 (cos.f64 y) z)
✓	99.0%	(cbrt.f64 (*.f64 (cos.f64 y) z))
✓	98.9%	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)

Compiler

Compiled 24 to 9 computations (62.5% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite60.0ms (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 (cos.f64 y) z)) 3)
(cbrt.f64 (*.f64 (cos.f64 y) z))

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

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1638×	`fma-def`
770×	`*-commutative`
686×	`log-prod`
574×	`cube-prod`
500×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	1750
1	518	1664
2	1700	1590
3	5764	1574

Stop Event

1×	node limit

Counts

78 → 85

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (.f64 (pow.f64 1 1/3) z))
(fma.f64 (.f64 z -1/2) (.f64 y y) z)
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (fma.f64 1/3 (.f64 z -1/24) (fma.f64 (fma.f64 2/3 (.f64 z (.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (fma.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (.f64 z -1/72))) (pow.f64 y 4) (fma.f64 (.f64 z -1/2) (*.f64 y y) z))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3))))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24))))) (.f64 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) -1/9)) (+.f64 (.f64 1/3 (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24))))) (fma.f64 -1/6 (.f64 (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z)) (.f64 -1/9 (.f64 z -1/24))))) (pow.f64 y 6) (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 (fma.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (.f64 z 7/2160) (.f64 z 1/72))) (.f64 (.f64 z -1/24) (.f64 (cbrt.f64 (/.f64 1 z)) -1/9))) (cbrt.f64 z) (fma.f64 1/3 (-.f64 (.f64 z 7/2160) (.f64 z 1/72)) (fma.f64 (.f64 -1/6 (cbrt.f64 z)) (fma.f64 2/3 (.f64 z (.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (.f64 (.f64 z -1/24) -1/9)))) (pow.f64 y 6) (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (fma.f64 1/3 (.f64 z -1/24) (fma.f64 (fma.f64 2/3 (.f64 z (.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 z (.f64 (.f64 y y) -1/2) (fma.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (.f64 2/3 (.f64 z -23/2160)) (.f64 (.f64 z -1/24) -1/9))) (cbrt.f64 z) (fma.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (.f64 -1/6 (cbrt.f64 z)) (fma.f64 1/3 (.f64 z -23/2160) (.f64 (.f64 z -1/24) -1/9)))) (pow.f64 y 6) (fma.f64 (fma.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (.f64 z -1/72))) (pow.f64 y 4) z)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))
(fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 z -1/24) (pow.f64 y 4))) (+.f64 (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 (pow.f64 y 4) z) -1/24)) (fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(fma.f64 (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (.f64 z z)))) (.f64 z -1/72) (fma.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24)))) (pow.f64 y 6))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 z -1/24) (pow.f64 y 4))) (+.f64 (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))))
(+.f64 (fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 z z)))) (+.f64 (.f64 (-.f64 (.f64 z 7/2160) (.f64 z 1/72)) (pow.f64 y 6)) (.f64 (.f64 (pow.f64 y 4) z) -1/24))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (fma.f64 (.f64 z -23/2160) (pow.f64 y 6) (.f64 (.f64 z -1/24) (pow.f64 y 4)))) (fma.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) z))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/6) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) z))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) 1) (cbrt.f64 (.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) z))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (pow.f64 (.f64 (cos.f64 y) z) 1/6)) (pow.f64 (*.f64 (cos.f64 y) z) 1/6))
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 z (cos.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(*.f64 z (cos.f64 y))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z)))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) z))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) z))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/6) (pow.f64 (*.f64 (cos.f64 y) z) 1/6))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (cos.f64 y) z)))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6) 4)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 2)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (*.f64 z (cos.f64 y)))

localize13.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sin.f64 y)
	99.8%	(*.f64 (sin.f64 y) x)
✓	99.0%	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
✓	86.5%	(cbrt.f64 (*.f64 (sin.f64 y) x))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series4.0ms (0%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(cbrt.f64 (*.f64 (sin.f64 y) x))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
0.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
0.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)

rewrite100.0ms (1.2%)

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
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)

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

simplify112.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1628×	`fma-def`
1212×	`unswap-sqr`
1062×	`distribute-rgt-in`
1022×	`log-prod`
1008×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	990
1	247	990
2	708	990
3	3083	974

Stop Event

1×	node limit

Counts

70 → 60

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) z)
	99.5%	(*.f64 (cbrt.f64 x) (sin.f64 y))
	99.3%	(pow.f64 (cbrt.f64 x) 2)
	99.1%	(cbrt.f64 x)

Compiler

Compiled 31 to 12 computations (61.3% saved)

series15.0ms (0.2%)

Counts

1 → 27

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	z	@	0	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) z)
1.0ms	y	@	inf	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) z)
1.0ms	x	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) z)
1.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) z)
0.0ms	y	@	0	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) z)

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`log-prod`
822×	`prod-exp`
710×	`pow-prod-down`
618×	`pow-prod-up`
548×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	255	17
2	2881	13

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-def`
680×	`associate-+r+`
652×	`associate-+l+`
590×	`div-sub`
506×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	919
1	286	851
2	863	847
3	3058	847
4	6092	847

Stop Event

1×	node limit

Counts

61 → 56

Calls

Call 1

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

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

eval256.0ms (3%)

Compiler: Compiled 10998 to 5203 computations (52.7% saved)

prune186.0ms (2.2%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	653	18	671
Fresh	10	8	18
Picked	1	0	1
Done	4	7	11
Total	668	33	701

Accurracy

100.0%

Counts

701 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 z) (cos.f64 y))) 3) (.f64 x (sin.f64 y)))
	99.5%	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	37.9%	(fma.f64 (.f64 z -1/2) (.f64 y y) z)
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	68.8%	(fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))
	58.1%	(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (sin.f64 y)) z)
✓	99.8%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	76.6%	(fma.f64 x (sin.f64 y) z)
	60.0%	(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) 3)
	49.6%	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2)
	20.3%	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
	29.8%	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
	39.2%	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
✓	60.1%	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
	76.6%	(+.f64 (*.f64 (sin.f64 y) x) z)
✓	52.6%	(+.f64 (*.f64 y x) z)
	63.3%	(+.f64 (*.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) z)
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	17.7%	(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) x)
	21.2%	(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 2) x)
	60.1%	(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
	60.1%	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
	29.2%	(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
	60.8%	(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
	26.7%	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y))))) x)
✓	39.9%	(*.f64 (sin.f64 y) x)
	39.8%	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) x)
	27.2%	(*.f64 (log.f64 (exp.f64 (sin.f64 y))) x)
✓	61.2%	(*.f64 (cos.f64 y) z)
	32.2%	(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) x)
	16.3%	(*.f64 y x)
	19.9%	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
	39.6%	z

Compiler

Compiled 368 to 262 computations (28.8% saved)

regimes180.0ms (2.1%)

Counts

66 → 1

Calls

Call 1

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

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

Calls

4 calls:

79.0ms	x
29.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
28.0ms	z
28.0ms	y

Results

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

Compiler

Compiled 684 to 249 computations (63.6% saved)

regimes95.0ms (1.1%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	y
16.0ms	x
13.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
13.0ms	z

Results

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

Compiler

Compiled 208 to 95 computations (54.3% saved)

regimes68.0ms (0.8%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	y
21.0ms	x
19.0ms	z

Results

Accuracy	Segments	Branch
87.6%	3	`x`
79.4%	3	`y`
91.3%	3	`z`

Compiler

Compiled 88 to 41 computations (53.4% saved)

bsearch86.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	3.6178787925362445e-56	1.8610484882696883e-53
47.0ms	-1.6388137771225763e+64	-3.622714913231848e+58

Results

36.0ms	64×	body	1024	valid
36.0ms	181×	body	256	valid
11.0ms	27×	body	512	valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

regimes88.0ms (1%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	x
30.0ms	z
21.0ms	y

Results

Accuracy	Segments	Branch
80.2%	7	`x`
78.4%	4	`y`
79.5%	5	`z`

Compiler

Compiled 32 to 18 computations (43.8% saved)

bsearch204.0ms (2.4%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
37.0ms	1.1804626684839053e+80	7.324642141538587e+86
30.0ms	2.927721749384667e+43	1.0415254534934518e+45
34.0ms	2.3221848622319727e-67	4.652990994072681e-58
21.0ms	-9.86887314625749e-76	-2.6089291024085914e-76
37.0ms	-2.671720844646119e-22	-1.1180091223547658e-26
45.0ms	-2.80869213187336e+71	-5.758281230054995e+60

Results

85.0ms	180×	body	1024	valid
82.0ms	503×	body	256	valid
26.0ms	85×	body	512	valid

Compiler

Compiled 802 to 589 computations (26.6% saved)

regimes47.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	x
15.0ms	z
10.0ms	y

Results

Accuracy	Segments	Branch
69.6%	5	`x`
74.9%	3	`y`
70.6%	3	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch52.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.9025728624495892	328.97124668248284
28.0ms	-37451.512899130284	-0.45788455713350396

Results

49.0ms

256×

body

256

valid

Compiler

Compiled 290 to 205 computations (29.3% saved)

regimes11.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`y`
52.6%	1	`z`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes26.0ms (0.3%)

Accuracy

Total -26.2b remaining (-72.9%)

Threshold costs -26.2b (-72.9%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

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

Calls

3 calls:

13.0ms	z
10.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
43.8%	3	`x`
39.6%	1	`y`
43.5%	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch57.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	3.4132878551903892e+174	4.120792736549519e+181
19.0ms	-1.5097288266432764e+144	-8.562995294615497e+143

Results

23.0ms	46×	body	1024	valid
22.0ms	142×	body	256	valid
9.0ms	20×	body	512	valid

Compiler

Compiled 174 to 130 computations (25.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	332
1	78	332

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -191999999999999998132192286920990968277592674086797984137216) (.f64 (cos.f64 y) z) (if (<=.f64 z 7980144213476589/431359146674410236714672241392314090778194310760649159697657763987456) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 x -14500000000000000336549231337043184364687329746815798346776576) (.f64 (sin.f64 y) x) (if (<=.f64 x -8014330305721943/174224571863520493293247799005065324265472) (.f64 (cos.f64 y) z) (if (<=.f64 x -7822218149124427/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (.f64 (sin.f64 y) x) (if (<=.f64 x 5936606137655371/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 (cos.f64 y) z) (if (<=.f64 x 149999999999999993425001479393549562666811392) (+.f64 (.f64 y x) z) (if (<=.f64 x 16000000000000000924265758369854347238996274033537026193568669811755397344270793834496) (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))))
(if (<=.f64 y -2476979795053773/4503599627370496) (.f64 (cos.f64 y) z) (if (<=.f64 y 3) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 x -1400000000000000033243605302111547500372121098960155062462850984138332401358828801595448679502516611781084356787376162506110778437846114202812416) (.f64 y x) (if (<=.f64 x 27000000000000000763486697873906184920251176802492886912422488403180855154225482903600134246031474366908657033261542593400700542675975766344478626446925909727670947836877340672) z (.f64 y x)))
z

Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -191999999999999998132192286920990968277592674086797984137216) (.f64 (cos.f64 y) z) (if (<=.f64 z 7980144213476589/431359146674410236714672241392314090778194310760649159697657763987456) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 z -191999999999999998132192286920990968277592674086797984137216) (not (<=.f64 z 7980144213476589/431359146674410236714672241392314090778194310760649159697657763987456))) (.f64 z (cos.f64 y)) (+.f64 z (.f64 x (sin.f64 y))))
(if (<=.f64 x -14500000000000000336549231337043184364687329746815798346776576) (.f64 (sin.f64 y) x) (if (<=.f64 x -8014330305721943/174224571863520493293247799005065324265472) (.f64 (cos.f64 y) z) (if (<=.f64 x -7822218149124427/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (.f64 (sin.f64 y) x) (if (<=.f64 x 5936606137655371/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 (cos.f64 y) z) (if (<=.f64 x 149999999999999993425001479393549562666811392) (+.f64 (.f64 y x) z) (if (<=.f64 x 16000000000000000924265758369854347238996274033537026193568669811755397344270793834496) (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))))
(if (<=.f64 x -14500000000000000336549231337043184364687329746815798346776576) (.f64 x (sin.f64 y)) (if (<=.f64 x -8014330305721943/174224571863520493293247799005065324265472) (.f64 z (cos.f64 y)) (if (<=.f64 x -7822218149124427/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (.f64 x (sin.f64 y)) (if (<=.f64 x 5936606137655371/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 z (cos.f64 y)) (if (<=.f64 x 149999999999999993425001479393549562666811392) (+.f64 z (.f64 x y)) (if (<=.f64 x 16000000000000000924265758369854347238996274033537026193568669811755397344270793834496) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(if (<=.f64 y -2476979795053773/4503599627370496) (.f64 (cos.f64 y) z) (if (<=.f64 y 3) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -2476979795053773/4503599627370496) (not (<=.f64 y 3))) (.f64 z (cos.f64 y)) (+.f64 z (.f64 x y)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 x -1400000000000000033243605302111547500372121098960155062462850984138332401358828801595448679502516611781084356787376162506110778437846114202812416) (.f64 y x) (if (<=.f64 x 27000000000000000763486697873906184920251176802492886912422488403180855154225482903600134246031474366908657033261542593400700542675975766344478626446925909727670947836877340672) z (.f64 y x)))
(if (<=.f64 x -1400000000000000033243605302111547500372121098960155062462850984138332401358828801595448679502516611781084356787376162506110778437846114202812416) (.f64 x y) (if (<=.f64 x 27000000000000000763486697873906184920251176802492886912422488403180855154225482903600134246031474366908657033261542593400700542675975766344478626446925909727670947836877340672) z (.f64 x y)))
z

Compiler

Compiled 152 to 89 computations (41.4% saved)

soundness13.0ms (0.1%)

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

Compiler

Compiled 20 to 9 computations (55% saved)

end57.0ms (0.7%)

Compiler: Compiled 131 to 50 computations (61.8% saved)