Details

analyze299.0ms (3.3%)

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)

sample2.2s (24.5%)

Results

956.0ms	2069×	body	1024	valid
905.0ms	5170×	body	256	valid
371.0ms	1014×	body	512	valid
2.0ms	3×	body	2048	valid

Bogosity

preprocess16.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.0b	(sin.f64 y)
✓	0.1b	(*.f64 z (sin.f64 y))
✓	0.1b	(*.f64 x (cos.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series8.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

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

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`*-commutative`
920×	`unswap-sqr`
660×	`swap-sqr`
474×	`distribute-lft-in`
468×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	226	50
2	2919	50

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))) (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y)))) (.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) (-.f64 1 (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (cos.f64 y)))) (-.f64 1 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (-.f64 (.f64 (.f64 x (cos.f64 y)) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 3) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 3))) (+.f64 (.f64 (.f64 x (cos.f64 y)) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (-.f64 (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (pow.f64 (.f64 x (cos.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 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simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

852×	`distribute-lft-neg-in`
778×	`associate-+r+`
694×	`+-commutative`
650×	`associate-r`
634×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	372	8223
1	985	7701
2	4794	7681

Stop Event

1×	node limit

Counts

201 → 221

Calls

Call 1

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

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

eval58.0ms (0.6%)

Compiler: Compiled 6070 to 1944 computations (68% saved)

prune56.0ms (0.6%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	198	23	221
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	198	24	222

Error

0.0b

Counts

222 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
▶	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	43.9b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 4) (pow.f64 (.f64 z (sin.f64 y)) 4)) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))
	45.5b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))
▶	40.6b	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))
	40.6b	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))))))
▶	0.2b	(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	30.7b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	32.1b	(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
▶	30.9b	(+.f64 (*.f64 y z) x)
	33.4b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
▶	0.6b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
	10.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
	4.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	21.8b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z y))
	16.5b	(+.f64 x (*.f64 z (sin.f64 y)))
	35.4b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
	27.8b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))
	35.4b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2)))))
	38.3b	(*.f64 z (sin.f64 y))

Compiler

Compiled 1000 to 566 computations (43.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	0.1b	(*.f64 x (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	z	@	-inf	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	z	@	inf	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	y	@	-inf	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	z	@	0	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	y	@	0	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`*-commutative`
908×	`cbrt-prod`
826×	`sqrt-prod`
730×	`unswap-sqr`
564×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	213	23
2	2507	23

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (cos.f64 y)))) (-.f64 1 (.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2))) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) 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y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))))

Outputs

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(cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 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(exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))))

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1602×	`associate-+r+`
1302×	`associate-+l+`
702×	`fma-def`
656×	`*-commutative`
584×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	3321
1	397	3267
2	1747	3193
3	5657	3193

Stop Event

1×	node limit

Counts

85 → 85

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
✓	0.2b	(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series7.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
1.0ms	x	@	inf	(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
0.0ms	y	@	inf	(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
0.0ms	x	@	0	(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
0.0ms	y	@	-inf	(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))

rewrite97.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`*-commutative`
862×	`unswap-sqr`
636×	`swap-sqr`
474×	`sqr-pow`
464×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	279	75
2	3052	75

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 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simplify143.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1386×	`distribute-rgt-in`
1382×	`distribute-lft-in`
554×	`associate-r`
500×	`associate-/l*`
468×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	396	12965
1	1083	12139
2	4843	12139

Stop Event

1×	node limit

Counts

309 → 270

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
✓	5.6b	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series10.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`add-sqr-sqrt`
1624×	`*-un-lft-identity`
1524×	`add-cube-cbrt`
1504×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	203	26
2	2138	26

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1694×	`associate-+r+`
1574×	`associate-+l+`
1066×	`unswap-sqr`
536×	`distribute-lft-neg-in`
536×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1035
1	255	1035
2	871	1035
3	3379	1035

Stop Event

1×	node limit

Counts

73 → 62

Calls

Call 1

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

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

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 3)
✓	0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 2)
✓	2.9b	(+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))
✓	39.3b	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))

Compiler

Compiled 126 to 34 computations (73% saved)

series18.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))
2.0ms	y	@	inf	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))
2.0ms	y	@	-inf	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))
1.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))
1.0ms	z	@	0	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))

rewrite145.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`associate-*l/`
652×	`associate-+l+`
476×	`add-sqr-sqrt`
466×	`*-un-lft-identity`
460×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	178
1	473	178
2	6345	178

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) x) 3/2) (pow.f64 (.f64 z (sin.f64 y)) 3/2)) (sqrt.f64 (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) x) 3/2) (pow.f64 (.f64 z (sin.f64 y)) 3/2)) (sqrt.f64 (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) x) 3/2) (pow.f64 (.f64 z (sin.f64 y)) 3/2)) (.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) x) 3/2) (pow.f64 (.f64 z (sin.f64 y)) 3/2)) (/.f64 1 (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z 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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (sqrt.f64 (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2))) 2)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (cbrt.f64 (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) x) 3/2) (pow.f64 (.f64 z (sin.f64 y)) 3/2)) 1) (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) x) 3/2) 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simplify146.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1292×	`associate-r`
1202×	`associate-l`
764×	`fma-def`
634×	`*-commutative`
608×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	563	16362
1	1667	15158

Stop Event

1×	node limit

Counts

272 → 297

Calls

Call 1

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

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

eval322.0ms (3.5%)

Compiler: Compiled 26331 to 9095 computations (65.5% saved)

prune331.0ms (3.6%)

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	827	22	849
Fresh	8	10	18
Picked	1	0	1
Done	2	3	5
Total	838	35	873

Error

0.0b

Counts

873 → 35

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	16.5b	(fma.f64 (sin.f64 y) z x)
	35.0b	(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) -2)
	50.2b	(/.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
	45.5b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))
	40.6b	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
	35.0b	(/.f64 1 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) 2))
	1.4b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3))
▶	38.3b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
	35.2b	(/.f64 1 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) -1/2)) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))))
	35.1b	(/.f64 1 (/.f64 1 (/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))))
	1.2b	(/.f64 1 (/.f64 1 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))))))
	24.6b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
▶	40.4b	(/.f64 1 (/.f64 1 x))
	41.1b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	43.2b	(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
	40.8b	(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
▶	30.7b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	32.1b	(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
✓	30.9b	(+.f64 (*.f64 y z) x)
	33.4b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	31.4b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
	17.0b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	16.5b	(+.f64 x (*.f64 z (sin.f64 y)))
	2.1b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
	29.6b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	24.5b	(*.f64 (cos.f64 y) x)
	38.3b	(*.f64 z (sin.f64 y))
	40.4b	x

Compiler

Compiled 1211 to 747 computations (38.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (sin.f64 y))
✓	0.1b	(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(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	@	inf	(expm1.f64 (sin.f64 y))
0.0ms	y	@	-inf	(expm1.f64 (sin.f64 y))
0.0ms	y	@	0	(log1p.f64 (expm1.f64 (sin.f64 y)))
0.0ms	y	@	0	(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1436×	`*-un-lft-identity`
1324×	`add-cube-cbrt`
1304×	`add-cbrt-cube`
1288×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	172	25
2	1814	25

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))))))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-/l*`
954×	`unswap-sqr`
852×	`fma-def`
768×	`associate-/r*`
584×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1116
1	340	1088
2	1461	1058
3	5029	1058

Stop Event

1×	node limit

Counts

96 → 87

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 1 (/.f64 1 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 x))

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-r`
908×	`add-sqr-sqrt`
892×	`*-un-lft-identity`
842×	`pow1`
832×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	125	1
2	1227	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*r/`
1178×	`associate-/r*`
952×	`associate-*l/`
916×	`associate-/l*`
850×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	273
1	241	231
2	805	223
3	3088	223

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.3b	(/.f64 (/.f64 1 z) (sin.f64 y))
✓	0.5b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(/.f64 (/.f64 1 z) (sin.f64 y))
0.0ms	y	@	-inf	(/.f64 (/.f64 1 z) (sin.f64 y))
0.0ms	y	@	0	(/.f64 (/.f64 1 z) (sin.f64 y))
0.0ms	z	@	0	(/.f64 (/.f64 1 z) (sin.f64 y))
0.0ms	z	@	inf	(/.f64 (/.f64 1 z) (sin.f64 y))

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`associate-*r/`
1214×	`associate-/r*`
926×	`*-commutative`
874×	`associate-*l/`
720×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	208	28
2	2680	28

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (cbrt.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (pow.f64 (/.f64 1 (sin.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 (sin.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) 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y)) (pow.f64 z -1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sin.f64 y)) -1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) -1) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 1) (sqrt.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x 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2))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (cbrt.f64 (/.f64 -1 z))) (cbrt.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) -1) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (neg.f64 (/.f64 -1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1/2) (/.f64 (pow.f64 z -1/2) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) (neg.f64 (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (/.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))) (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))) (neg.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 z -1/2) (sin.f64 y)) (pow.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z))) (cbrt.f64 (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 y)) z)) (/.f64 1 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 y)) z)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z))) (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 y)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))) (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))) (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) 1) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 y)) -1) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sin.f64 y)) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z)))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2))) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))))))

simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1432×	`associate-+l+`
950×	`associate-/r/`
842×	`unswap-sqr`
824×	`*-commutative`
816×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	3423
1	808	3307
2	2452	3279
3	7426	3279

Stop Event

1×	node limit

Counts

179 → 187

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 y z))
(+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z)))
(+.f64 (.f64 1/6 (/.f64 y z)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) z)) (/.f64 1 (*.f64 y z))))
(+.f64 (.f64 1/6 (/.f64 y z)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) z)) (+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 5) z)) (/.f64 1 (.f64 y z)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(.f64 1 (.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(.f64 (.f64 (sin.f64 y) z) 1)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(.f64 (cbrt.f64 z) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 z (sin.f64 y))
(*.f64 z (pow.f64 (/.f64 1 (sin.f64 y)) -1))
(.f64 -1 (.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) -1))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) z) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) z) (/.f64 (sqrt.f64 (sin.f64 y)) 1))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 (sin.f64 y)) z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (sin.f64 y)) z) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1))
(.f64 (.f64 (sin.f64 y) (neg.f64 z)) -1)
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z))
(.f64 (.f64 (sin.f64 y) (cbrt.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 (sin.f64 y) -1) (neg.f64 z))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (.f64 (sqrt.f64 (sin.f64 y)) z))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 z -2))) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (cbrt.f64 z)))
(.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (cbrt.f64 z)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 z -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 z -1/2)) (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 z -1/2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 z -1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 z -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (.f64 (sin.f64 y) z)))
(*.f64 (pow.f64 (/.f64 1 (sin.f64 y)) -1) z)
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) -1))
(.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) -1))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) -1) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) -1))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) 1) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) 1) (neg.f64 z))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) -1) z)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(.f64 (/.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) 1) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) 1) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 -1 z))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 z (/.f64 1 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (cbrt.f64 (/.f64 -1 z))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) -1) (cbrt.f64 (neg.f64 z)))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) -1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))) 1)
(.f64 1 (/.f64 1 (.f64 (sin.f64 y) z)))
(*.f64 (/.f64 1 z) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 z) (neg.f64 (/.f64 -1 (sin.f64 y))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1)
(*.f64 (pow.f64 z -1/2) (/.f64 (pow.f64 z -1/2) (sin.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z)))))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) (neg.f64 (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 y) z)))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 z))
(.f64 -1 (/.f64 -1 (.f64 (sin.f64 y) z)))
(*.f64 (/.f64 -1 z) (/.f64 -1 (sin.f64 y)))
(.f64 (/.f64 -1 (.f64 (sin.f64 y) z)) -1)
(.f64 (sqrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z))) (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z))) (cbrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z)))) (neg.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))))
(*.f64 (/.f64 (pow.f64 z -1/2) (sin.f64 y)) (pow.f64 z -1/2))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))) (cbrt.f64 (pow.f64 z -2)))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) 1))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (sin.f64 y)) z)) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 y)) z)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (.f64 (cbrt.f64 (sin.f64 y)) z)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (sin.f64 y)) z)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 (sin.f64 y) z))) (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 -1 z))
(*.f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))) (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))) (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) 1) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) -1) (/.f64 -1 z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sin.f64 y)) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z)))) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z))) (cbrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z))))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (.f64 (sin.f64 y) z)))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2))) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) -1)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 3)
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1/3)
(neg.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) z))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))

Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z y))
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)))
(.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (.f64 1/120 (pow.f64 y 5))))
(.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 1/120 (.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 z y (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 z (+.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 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 y z))
(/.f64 (/.f64 1 y) z)
(/.f64 (/.f64 1 z) y)
(+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z)))
(fma.f64 1/6 (/.f64 y z) (/.f64 (/.f64 1 y) z))
(fma.f64 1/6 (/.f64 y z) (/.f64 (/.f64 1 z) y))
(+.f64 (.f64 1/6 (/.f64 y z)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) z)) (/.f64 1 (*.f64 y z))))
(fma.f64 1/6 (/.f64 y z) (fma.f64 7/360 (/.f64 (pow.f64 y 3) z) (/.f64 (/.f64 1 y) z)))
(fma.f64 1/6 (/.f64 y z) (fma.f64 7/360 (/.f64 (pow.f64 y 3) z) (/.f64 (/.f64 1 z) y)))
(+.f64 (.f64 1/6 (/.f64 y z)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) z)) (+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 5) z)) (/.f64 1 (.f64 y z)))))
(fma.f64 1/6 (/.f64 y z) (fma.f64 7/360 (/.f64 (pow.f64 y 3) z) (fma.f64 31/15120 (/.f64 (pow.f64 y 5) z) (/.f64 (/.f64 1 y) z))))
(fma.f64 1/6 (/.f64 y z) (fma.f64 7/360 (/.f64 (pow.f64 y 3) z) (fma.f64 31/15120 (/.f64 (pow.f64 y 5) z) (/.f64 (/.f64 1 z) y))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 z (sin.f64 y))
(.f64 1 (.f64 (sin.f64 y) z))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sin.f64 y) z) 1)
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))
(*.f64 z (sin.f64 y))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2))
(*.f64 z (sin.f64 y))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 z -2)))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(.f64 (cbrt.f64 z) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (pow.f64 (/.f64 1 (sin.f64 y)) -1))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) -1))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) z) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) z) (/.f64 (sqrt.f64 (sin.f64 y)) 1))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (cbrt.f64 (sin.f64 y)) z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (cbrt.f64 (sin.f64 y)) z) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (neg.f64 z)) -1)
(*.f64 z (sin.f64 y))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (sin.f64 y) (/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z -2))))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (sin.f64 y) (/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z -2))))
(.f64 (.f64 (sin.f64 y) (cbrt.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 z -2))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (sin.f64 y) (/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 (sin.f64 y) -1) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 z -2))) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (cbrt.f64 z)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (sin.f64 y) (/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z -2))))
(.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (cbrt.f64 z)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 z -2))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (sin.f64 y) (/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 z -1/2)) (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 z -1/2)))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 z -1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 z -1/2)))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (.f64 (sin.f64 y) z)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 z -2)))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (pow.f64 (/.f64 1 (sin.f64 y)) -1) z)
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) -1))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) -1))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) -1) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) -1))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) 1) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) 1) (neg.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) -1) z)
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) 1) (sqrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) 1) (cbrt.f64 z))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (sin.f64 y) (/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 -1 z))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y)))) (sqrt.f64 (/.f64 -1 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (/.f64 -1 z))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (/.f64 (sqrt.f64 (/.f64 -1 z)) (sqrt.f64 (neg.f64 (sin.f64 y)))))
(*.f64 (/.f64 z (/.f64 1 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (cbrt.f64 (/.f64 -1 z))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (/.f64 -1 z))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (/.f64 (cbrt.f64 (/.f64 -1 z)) (cbrt.f64 (neg.f64 (sin.f64 y)))))
(.f64 (/.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 -1) (sqrt.f64 z))) (sqrt.f64 (neg.f64 z)))
(.f64 (.f64 (/.f64 (sin.f64 y) (sqrt.f64 -1)) (sqrt.f64 z)) (sqrt.f64 (neg.f64 z)))
(.f64 (.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 -1)) (sin.f64 y)) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) -1) (cbrt.f64 (neg.f64 z)))
(.f64 (/.f64 (sin.f64 y) (.f64 -1 (cbrt.f64 (pow.f64 z -2)))) (cbrt.f64 (neg.f64 z)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (sin.f64 y)) (neg.f64 (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 (cbrt.f64 (pow.f64 z -2)))) (cbrt.f64 (neg.f64 z)))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) -1)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 z (sin.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))) 1)
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 1 (/.f64 1 (.f64 (sin.f64 y) z)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 1 z) (/.f64 1 (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 1 z) (neg.f64 (/.f64 -1 (sin.f64 y))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1)
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 z -1/2) (/.f64 (pow.f64 z -1/2) (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 z (sin.f64 y)))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) (neg.f64 (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 y) z)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 -1 (/.f64 -1 (.f64 (sin.f64 y) z)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 -1 z) (/.f64 -1 (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 -1 (.f64 (sin.f64 y) z)) -1)
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z))) (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z))) (cbrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z)))) (neg.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 z -1/2) (sin.f64 y)) (pow.f64 z -1/2))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))) (cbrt.f64 (pow.f64 z -2)))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) 1))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (sin.f64 y)) z)) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 y)) z)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (.f64 (cbrt.f64 (sin.f64 y)) z)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (sin.f64 y)) z)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 (sin.f64 y) z))) (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 -1 z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))) (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))) (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 z (sin.f64 y)))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 z (sin.f64 y)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) 1) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 1 (cbrt.f64 z)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) -1) (/.f64 -1 z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sin.f64 y)) (/.f64 1 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(.f64 (sqrt.f64 (/.f64 -1 (.f64 z (sin.f64 y)))) (/.f64 1 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (sin.f64 y))))))
(/.f64 (/.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y)))) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 -1))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(.f64 (cbrt.f64 (/.f64 -1 (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) -1))
(.f64 (cbrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y))) (/.f64 -1 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z)))) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z))) (cbrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z))))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (.f64 (sin.f64 y) z)))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2))) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) 1)
(/.f64 1 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) z) -1)
(/.f64 1 (*.f64 z (sin.f64 y)))
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) 2)
(/.f64 1 (*.f64 z (sin.f64 y)))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 3)
(/.f64 1 (*.f64 z (sin.f64 y)))
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(neg.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 x (cos.f64 y)))
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series10.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
0.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`add-sqr-sqrt`
1574×	`*-un-lft-identity`
1458×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1424×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	200	26
2	2036	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(sqrt.f64 (*.f64 x (cos.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 1/4)) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))))

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-def`
814×	`unswap-sqr`
634×	`*-commutative`
514×	`+-commutative`
408×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1425
1	368	1367
2	1296	1275
3	4011	1275
4	6765	1275

Stop Event

1×	node limit

Counts

77 → 85

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 x) (.f64 -1/4 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (cos.f64 y)) 1)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 1 (.f64 x (cos.f64 y)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 1/4)) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1)
(.f64 1 (sqrt.f64 (.f64 x (cos.f64 y))))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x (cos.f64 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1/2))
(pow.f64 (*.f64 x (cos.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))

Outputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(fma.f64 (.f64 (.f64 -1/2 y) y) x x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (.f64 x 1/16)) x))
(fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 (pow.f64 y 4) (*.f64 x 1/24) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (*.f64 x 1/16)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) (*.f64 x 1/24) x))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (+.f64 (.f64 (*.f64 y y) -1/4) 1) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 x))) (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (.f64 x 1/16)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 (pow.f64 y 4) (.f64 1/2 (.f64 (.f64 x -1/48) (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 x) (.f64 -1/4 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (+.f64 (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) (.f64 1/2 (.f64 (pow.f64 y 6) (.f64 (+.f64 (.f64 x -1/720) (.f64 1/4 (-.f64 (.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 x))) (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (.f64 x 1/16)) (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/2 (.f64 (fma.f64 x -1/720 (.f64 (-.f64 (.f64 x 1/24) (.f64 x 1/16)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 (pow.f64 y 4) (.f64 x -1/48)) (.f64 (pow.f64 y 6) (fma.f64 (.f64 x -1/48) 1/4 (*.f64 x -1/720))))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (pow.f64 y 4) (.f64 x -1/48)) (.f64 (pow.f64 y 6) (fma.f64 x -1/720 (.f64 -1/4 (*.f64 x 1/48))))))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (cos.f64 y)) 1)
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 1/4)) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 1 (sqrt.f64 (.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1/2))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 x (cos.f64 y)) 1/2)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) 2)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 3)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1/2))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) 1))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
✓	0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))

Compiler

Compiled 48 to 14 computations (70.8% saved)

series11.0ms (0.1%)

Counts

3 → 51

Calls

21 calls:

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

rewrite108.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
830×	`swap-sqr`
522×	`sqr-pow`
514×	`pow-sqr`
368×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	295	59
2	3364	59

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))) (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))) (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 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simplify148.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

784×	`associate-r`
648×	`associate-l`
516×	`associate-+r+`
462×	`*-commutative`
446×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	6965
1	1049	6093
2	3796	5959

Stop Event

1×	node limit

Counts

175 → 208

Calls

Call 1

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

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

eval325.0ms (3.5%)

Compiler: Compiled 16988 to 6718 computations (60.5% saved)

prune371.0ms (4%)

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	828	21	849
Fresh	15	12	27
Picked	1	0	1
Done	1	6	7
Total	845	39	884

Error

Counts

884 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) (*.f64 z (sin.f64 y)))
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	16.5b	(fma.f64 (sin.f64 y) z x)
	19.9b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
	35.0b	(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) -2)
	38.7b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
	50.2b	(/.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (fma.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
	45.5b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))
	40.6b	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
	35.0b	(/.f64 1 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) 2))
	51.1b	(/.f64 1 (/.f64 (/.f64 1 z) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))
✓	38.3b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
▶	42.6b	(/.f64 1 (/.f64 (/.f64 1 z) (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	52.1b	(/.f64 1 (/.f64 (/.f64 1 z) y))
	52.1b	(/.f64 1 (/.f64 (/.f64 1 y) z))
	24.6b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
✓	40.4b	(/.f64 1 (/.f64 1 x))
	41.1b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	43.2b	(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
	51.9b	(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
	46.8b	(-.f64 (+.f64 1 x) 1)
	32.1b	(+.f64 (fma.f64 y z x) (.f64 (.f64 y y) (*.f64 x -1/2)))
✓	30.7b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	0.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
▶	0.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	28.2b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
	15.1b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	30.9b	(+.f64 (*.f64 y z) x)
	10.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	16.5b	(+.f64 x (*.f64 z (sin.f64 y)))
	16.5b	(+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
	48.9b	(.f64 (.f64 (sqrt.f64 (sin.f64 y)) z) (sqrt.f64 (sin.f64 y)))
▶	38.3b	(*.f64 (sin.f64 y) z)
	24.5b	(*.f64 (cos.f64 y) x)
▶	52.1b	(*.f64 z y)
	40.4b	x

Compiler

Compiled 1075 to 710 computations (34% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
✓	0.2b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
✓	0.3b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 55 to 18 computations (67.3% saved)

series36.0ms (0.4%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	y	@	0	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
1.0ms	y	@	-inf	(cbrt.f64 (cos.f64 y))
1.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
0.0ms	y	@	inf	(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
0.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1906×	`add-sqr-sqrt`
1886×	`*-un-lft-identity`
1748×	`add-cube-cbrt`
1718×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	218	35
2	2497	35

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1136×	`unswap-sqr`
914×	`associate-+r+`
826×	`associate-+l+`
520×	`exp-prod`
474×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1420
1	315	1398
2	1108	1374
3	4206	1362

Stop Event

1×	node limit

Counts

102 → 104

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 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 -1/6 (.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (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 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 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))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 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 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405)))
(fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 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 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1)))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.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 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.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 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.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 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 (.f64 y y) x) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 x (fma.f64 (.f64 y y) -1/2 1))
(fma.f64 x (.f64 y (.f64 y -1/2)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 y (*.f64 y x)) x))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (.f64 y -1/2))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 y (.f64 y x)) x)))
(fma.f64 (pow.f64 y 6) (.f64 x -1/720) (fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (*.f64 y -1/2))) x))
(.f64 x (+.f64 (fma.f64 (.f64 y y) -1/2 1) (fma.f64 (pow.f64 y 6) -1/720 (*.f64 (pow.f64 y 4) 1/24))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (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 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.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))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.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 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(*.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 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(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))
(log.f64 (+.f64 1 (expm1.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))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.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))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(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)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 (cos.f64 y) x)
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)

localize4.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(*.f64 (sin.f64 y) z)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`add-sqr-sqrt`
1272×	`*-un-lft-identity`
1170×	`add-cube-cbrt`
1152×	`add-cbrt-cube`
1138×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	135	11
2	1583	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1386×	`fma-def`
924×	`log-prod`
778×	`*-commutative`
776×	`distribute-lft-out`
636×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	489
1	142	483
2	449	461
3	2078	457
4	5582	457

Stop Event

1×	node limit

Counts

35 → 27

Calls

Call 1

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

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

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1 z) (cbrt.f64 (pow.f64 (sin.f64 y) 3)))
✓	0.4b	(pow.f64 (sin.f64 y) 3)
✓	0.5b	(/.f64 1 (/.f64 (/.f64 1 z) (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
✓	19.5b	(cbrt.f64 (pow.f64 (sin.f64 y) 3))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series2.0ms (0%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(pow.f64 (sin.f64 y) 3)
0.0ms	y	@	-inf	(pow.f64 (sin.f64 y) 3)
0.0ms	y	@	0	(pow.f64 (sin.f64 y) 3)
0.0ms	y	@	0	(/.f64 (/.f64 1 z) (cbrt.f64 (pow.f64 (sin.f64 y) 3)))
0.0ms	y	@	0	(cbrt.f64 (pow.f64 (sin.f64 y) 3))

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`associate-*r/`
1260×	`associate-/r*`
1036×	`*-commutative`
884×	`associate-*l/`
780×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	277	44
2	3219	44

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(/.f64 1 (/.f64 (/.f64 1 z) (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
(pow.f64 (sin.f64 y) 3)
(/.f64 (/.f64 1 z) (cbrt.f64 (pow.f64 (sin.f64 y) 3)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (.f64 (sin.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z -1/2) (/.f64 (pow.f64 z -1/2) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (cbrt.f64 z)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 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(sin.f64 y))) (/.f64 (/.f64 1 z) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 z) (sqrt.f64 (sin.f64 y))) (/.f64 1 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 z) (cbrt.f64 (sin.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))) (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 z)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2)) (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) 1) (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) 1) (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 (.f64 z z))) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sin.f64 y)) -1) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sin.f64 y)) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 y) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))))))

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1024×	`distribute-lft-neg-out`
900×	`distribute-rgt-neg-out`
746×	`associate-r`
684×	`associate-l`
474×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	4407
1	1006	4205
2	4786	4185

Stop Event

1×	node limit

Counts

249 → 255

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 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 y z))
(+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z)))
(+.f64 (.f64 1/6 (/.f64 y z)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) z)) (/.f64 1 (*.f64 y z))))
(+.f64 (.f64 1/6 (/.f64 y z)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) z)) (+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 5) z)) (/.f64 1 (.f64 y z)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 (sin.f64 y) (pow.f64 1 1/3))
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 -1 (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3))
(/.f64 (sin.f64 y) 1)
(/.f64 1 (/.f64 1 (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 y)))
(/.f64 (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3) (/.f64 1 (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)))
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 1 (sin.f64 y)))) (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (cbrt.f64 (/.f64 1 (sin.f64 y))))) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(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 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) (neg.f64 (neg.f64 z)))
(.f64 1 (.f64 (sin.f64 y) z))
(.f64 (.f64 (sin.f64 y) z) 1)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(.f64 (cbrt.f64 z) (.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))))
(*.f64 z (sin.f64 y))
(*.f64 z (pow.f64 (/.f64 1 (sin.f64 y)) -1))
(.f64 -1 (.f64 (sin.f64 y) (neg.f64 z)))
(.f64 -1 (neg.f64 (.f64 (sin.f64 y) z)))
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) -1))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(.f64 (.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) z) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) z) (/.f64 (sqrt.f64 (sin.f64 y)) 1))
(.f64 (.f64 (cbrt.f64 (sin.f64 y)) z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (sin.f64 y)) z) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1))
(.f64 (.f64 (sin.f64 y) (neg.f64 z)) -1)
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z))
(.f64 (.f64 (sin.f64 y) (cbrt.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 (sin.f64 y) -1) (neg.f64 z))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (.f64 (sqrt.f64 (sin.f64 y)) z))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 z -2))) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (cbrt.f64 z)))
(.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (cbrt.f64 z)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 z -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 z -1/2)) (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 z -1/2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 z -1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 z -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (.f64 (sin.f64 y) z)))
(*.f64 (pow.f64 (/.f64 1 (sin.f64 y)) -1) z)
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) -1))
(.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) -1))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) -1) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) -1))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) 1) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) 1) (neg.f64 z))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) -1) z)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (/.f64 1 (cbrt.f64 z))) (cbrt.f64 (sin.f64 y)))
(.f64 (/.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) 1) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) 1) (cbrt.f64 z))
(*.f64 (/.f64 1 (neg.f64 (/.f64 -1 z))) (neg.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))) (cbrt.f64 (sin.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 -1 z))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 z (/.f64 1 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 -1 z))) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (cbrt.f64 (/.f64 -1 z))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) -1) (cbrt.f64 (neg.f64 z)))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) -1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (-.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 1)
(*.f64 (pow.f64 (sin.f64 y) 3) 1)
(*.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))
(*.f64 (sin.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3))
(*.f64 1 (pow.f64 (sin.f64 y) 3))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sin.f64 y) 3/2))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3) (pow.f64 (sqrt.f64 (sin.f64 y)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y)))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))) (sin.f64 y)) 2)
(sqrt.f64 (pow.f64 (sin.f64 y) 6))
(log.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))
(exp.f64 (*.f64 3 (log.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))) 1)
(.f64 1 (/.f64 1 (.f64 (sin.f64 y) z)))
(*.f64 (/.f64 1 z) (/.f64 1 (sin.f64 y)))
(.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1)
(*.f64 (pow.f64 z -1/2) (/.f64 (pow.f64 z -1/2) (sin.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (cbrt.f64 z)) (sin.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 z))
(*.f64 -1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
(*.f64 (/.f64 (/.f64 -1 z) (sin.f64 y)) -1)
(*.f64 (/.f64 -1 z) (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 z -1/2) (sin.f64 y)) (pow.f64 z -1/2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sin.f64 y)) (cbrt.f64 (pow.f64 z -2)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sin.f64 y)) (/.f64 (cbrt.f64 (pow.f64 z -2)) 1))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 -1 z))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 (/.f64 1 z) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 1 z) (sqrt.f64 (sin.f64 y))) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 1 z) (cbrt.f64 (sin.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))) (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 z)) (sin.f64 y)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) 1) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(.f64 (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 (.f64 z z))) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) -1) (/.f64 -1 z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sin.f64 y)) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y))))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) -1)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 3)
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1/3)
(neg.f64 (/.f64 (/.f64 -1 z) (sin.f64 y)))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) z))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))

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 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 (.f64 -1/6 (pow.f64 y 3)) z (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (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 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))
(fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120))))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (*.f64 -41/3024 (pow.f64 y 9)))))
(+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 y z))
(+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z)))
(fma.f64 1/6 (/.f64 y z) (/.f64 1 (*.f64 y z)))
(+.f64 (.f64 1/6 (/.f64 y z)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) z)) (/.f64 1 (*.f64 y z))))
(fma.f64 1/6 (/.f64 y z) (fma.f64 7/360 (/.f64 (pow.f64 y 3) z) (/.f64 1 (*.f64 y z))))
(+.f64 (.f64 1/6 (/.f64 y z)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) z)) (+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 5) z)) (/.f64 1 (.f64 y z)))))
(fma.f64 1/6 (/.f64 y z) (fma.f64 7/360 (/.f64 (pow.f64 y 3) z) (fma.f64 31/15120 (/.f64 (pow.f64 y 5) z) (/.f64 1 (*.f64 y z)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) (pow.f64 1 1/3))
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)) (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)))
(/.f64 (sin.f64 y) 1)
(sin.f64 y)
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(/.f64 1 (*.f64 (sin.f64 y) z))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (cbrt.f64 z)) (sin.f64 y)))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 z))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 -1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 -1 z) (sin.f64 y)) -1)
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 -1 z) (/.f64 -1 (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 (pow.f64 z -1/2) (sin.f64 y)) (pow.f64 z -1/2))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sin.f64 y)) (cbrt.f64 (pow.f64 z -2)))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sin.f64 y)) (/.f64 (cbrt.f64 (pow.f64 z -2)) 1))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 -1 z))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 (/.f64 1 z) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 1 z) (sqrt.f64 (sin.f64 y))) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 1 z) (cbrt.f64 (sin.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))) (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 z)) (sin.f64 y)))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z))))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) 1) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(.f64 (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 (.f64 z z))) (/.f64 1 (cbrt.f64 z)))
(/.f64 (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (cbrt.f64 z))) (cbrt.f64 (.f64 z z)))
(/.f64 (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))) (cbrt.f64 (.f64 z z)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) -1) (/.f64 -1 z))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sin.f64 y)) (/.f64 1 (cbrt.f64 z)))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 -1))) (sqrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z))))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (sin.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2)) (/.f64 -1 (cbrt.f64 (/.f64 -1 (.f64 (sin.f64 y) z)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2)) -1) (cbrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (sin.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) 1)
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) -1)
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) 2)
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 3)
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(neg.f64 (/.f64 (/.f64 -1 z) (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 1 (*.f64 (sin.f64 y) z))

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 x) (cos.f64 y))
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.5b	(cbrt.f64 x)

Compiler

Compiled 51 to 18 computations (64.7% saved)

series7.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

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

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1906×	`add-sqr-sqrt`
1886×	`*-un-lft-identity`
1748×	`add-cube-cbrt`
1718×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	218	42
2	2497	42

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cbrt.f64 x) (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (pow.f64 (cos.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cbrt.f64 x) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cbrt.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cbrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cbrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))))))

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1100×	`unswap-sqr`
708×	`*-commutative`
664×	`fma-def`
618×	`+-commutative`
490×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1417
1	373	1407
2	1617	1361
3	5438	1347

Stop Event

1×	node limit

Counts

103 → 103

Calls

Call 1

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

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

eval240.0ms (2.6%)

Compiler: Compiled 10145 to 4808 computations (52.6% saved)

prune176.0ms (1.9%)

Pruning

41 alts after pruning (30 fresh and 11 done)

	Pruned	Kept	Total
New	607	8	615
Fresh	6	22	28
Picked	0	1	1
Done	0	10	10
Total	613	41	654

Error

Counts

654 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) (*.f64 z (sin.f64 y)))
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	16.5b	(fma.f64 (sin.f64 y) z x)
	35.0b	(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) -2)
	53.9b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
	45.5b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))
	40.6b	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
	35.0b	(/.f64 1 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) 2))
	51.1b	(/.f64 1 (/.f64 (/.f64 1 z) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))
✓	38.3b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
✓	42.6b	(/.f64 1 (/.f64 (/.f64 1 z) (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	52.1b	(/.f64 1 (/.f64 (/.f64 1 z) y))
	52.1b	(/.f64 1 (/.f64 (/.f64 1 y) z))
	24.6b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
✓	40.4b	(/.f64 1 (/.f64 1 x))
	41.1b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	43.2b	(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
	51.9b	(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
	46.8b	(-.f64 (+.f64 1 x) 1)
	32.1b	(+.f64 (fma.f64 y z x) (.f64 (.f64 y y) (*.f64 x -1/2)))
✓	30.7b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 z (sin.f64 y)))
	0.3b	(+.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
✓	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
	1.1b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	0.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	28.2b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
	15.1b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	19.9b	(+.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (cos.f64 y))) (.f64 z (sin.f64 y)))
✓	30.9b	(+.f64 (*.f64 y z) x)
	10.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	16.5b	(+.f64 x (*.f64 z (sin.f64 y)))
	38.7b	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) z)
	38.3b	(*.f64 (/.f64 -1 (neg.f64 (/.f64 -1 z))) (neg.f64 (sin.f64 y)))
	48.9b	(.f64 (.f64 (sqrt.f64 (sin.f64 y)) z) (sqrt.f64 (sin.f64 y)))
✓	38.3b	(*.f64 (sin.f64 y) z)
	38.3b	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) z)
	24.5b	(*.f64 (cos.f64 y) x)
✓	52.1b	(*.f64 z y)
	40.4b	x

Compiler

Compiled 581 to 399 computations (31.3% saved)

regimes154.0ms (1.7%)

Counts

75 → 1

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	x
33.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
32.0ms	z
32.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 1172 to 422 computations (64% saved)

regimes91.0ms (1%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	y
15.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
14.0ms	x
14.0ms	z

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 239 to 126 computations (47.3% saved)

regimes261.0ms (2.8%)

Counts

21 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (/.f64 1 y) z))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) z)
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z y))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 -1 z))) (neg.f64 (sin.f64 y)))
(+.f64 (fma.f64 y z x) (.f64 (.f64 y y) (*.f64 x -1/2)))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 (sin.f64 y) z x)

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

Calls

3 calls:

126.0ms	y
73.0ms	z
57.0ms	x

Results

Error	Segments	Branch
7.9b	3	`x`
10.5b	6	`y`
8.1b	3	`z`

Compiler

Compiled 170 to 96 computations (43.5% saved)

bsearch115.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	1.9186567603143877e+53	1.491514460382369e+55
43.0ms	-1.282071523970379e-24	-1.9473204507356995e-25

Results

63.0ms	127×	body	256	valid
30.0ms	36×	body	512	valid
19.0ms	45×	body	1024	valid

Compiler

Compiled 239 to 169 computations (29.3% saved)

regimes248.0ms (2.7%)

Counts

20 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (/.f64 1 y) z))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) z)
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z y))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 -1 z))) (neg.f64 (sin.f64 y)))
(+.f64 (fma.f64 y z x) (.f64 (.f64 y y) (*.f64 x -1/2)))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))

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

Calls

3 calls:

129.0ms	y
57.0ms	z
57.0ms	x

Results

Error	Segments	Branch
7.9b	3	`x`
10.5b	6	`y`
8.1b	3	`z`

Compiler

Compiled 165 to 95 computations (42.4% saved)

bsearch69.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	1.9186567603143877e+53	1.491514460382369e+55
23.0ms	-1.282071523970379e-24	-1.9473204507356995e-25

Results

42.0ms	142×	body	256	valid
18.0ms	42×	body	1024	valid
7.0ms	24×	body	512	valid

Compiler

Compiled 252 to 182 computations (27.8% saved)

regimes200.0ms (2.2%)

Counts

13 → 6

Calls

Call 1

Inputs
x
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (/.f64 1 y) z))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) z)

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

Calls

3 calls:

95.0ms	x
61.0ms	y
40.0ms	z

Results

Error	Segments	Branch
13.7b	3	`x`
11.6b	6	`y`
14.0b	5	`z`

Compiler

Compiled 100 to 63 computations (37% saved)

bsearch345.0ms (3.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
104.0ms	5.708275491311085e+272	4.603693874012982e+276
70.0ms	6.653546015658034e+180	2.557968825467731e+183
40.0ms	1.4251699221628055e-11	0.00013504822566335706
22.0ms	-1.6934187675467675e-7	-1.6721771121546287e-9
109.0ms	-7.292031062531348e+220	-9.402449759228385e+199

Results

276.0ms	432×	body	1024	valid
59.0ms	256×	body	256	valid

Compiler

Compiled 722 to 529 computations (26.7% saved)

regimes120.0ms (1.3%)

Counts

11 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (/.f64 1 y) z))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(*.f64 z (sin.f64 y))

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

Calls

3 calls:

47.0ms	z
46.0ms	y
25.0ms	x

Results

Error	Segments	Branch
25.3b	3	`x`
17.9b	3	`y`
25.2b	5	`z`

Compiler

Compiled 92 to 60 computations (34.8% saved)

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	12448.239393019836	216009238.26228437
23.0ms	-29883450.700769912	-10278.879031484217

Results

42.0ms

256×

body

256

valid

Compiler

Compiled 290 to 205 computations (29.3% saved)

regimes23.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
x
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (/.f64 1 y) z))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))

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

Calls

3 calls:

7.0ms	x
7.0ms	z
6.0ms	y

Results

Error	Segments	Branch
30.9b	1	`x`
30.9b	1	`y`
30.9b	1	`z`

Compiler

Compiled 88 to 58 computations (34.1% saved)

regimes26.0ms (0.3%)

Accuracy

Total -25.9b remaining (-71%)

Threshold costs -25.9b (-71%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)

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

Calls

3 calls:

9.0ms	x
9.0ms	y
8.0ms	z

Results

Error	Segments	Branch
36.7b	3	`x`
38.2b	3	`y`
36.5b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch69.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	2.2457348578076e+83	8.606366719674662e+87
36.0ms	-9.567125759980688e+166	-6.1840625528771e+160

Results

28.0ms	176×	body	256	valid
25.0ms	59×	body	1024	valid
10.0ms	37×	body	512	valid

Compiler

Compiled 222 to 166 computations (25.2% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	357
1	87	357

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -2096139380232981/2722258935367507707706996859454145691648) (.f64 (cos.f64 y) x) (if (<=.f64 x 14499999999999999263674317801483986664867383473623531520) (fma.f64 (sin.f64 y) z x) (.f64 (cos.f64 y) x)))
(if (<=.f64 x -6805647338418769/5444517870735015415413993718908291383296) (.f64 (cos.f64 y) x) (if (<=.f64 x 1149999999999999970936443042957218206470051743750160384) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -118000000000000001459447489036640634605770878968675625990831277231855657699088686164574198319545820429619686107100975097374649060281426229237273834682186027574781076335927576149164337054121782717297197056) (.f64 z (sin.f64 y)) (if (<=.f64 y -1558380939346983/9444732965739290427392) (.f64 (cos.f64 y) x) (if (<=.f64 y 9002011107970261/73786976294838206464) (+.f64 (.f64 y z) x) (if (<=.f64 y 45999999999999997661300481547673670851250816593979890242204074392439119885469222095475916232992953976641168801809142867698507218730796072990039616016744371857365741482942546187386880) (.f64 (cos.f64 y) x) (if (<=.f64 y 6499999999999999585055086397414784909994085958636322393867890590471143219155746649445421557380535654139473258804562460631572756264757751367840405004770576492858148508349227507511631043470368241665126007023563134365691288057728518048762183645526864897236011546963865870794752) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))))
(if (<=.f64 y -10500) (.f64 z (sin.f64 y)) (if (<=.f64 y 13000) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 z -13600000000000000113760333735455819024153811160830653727079213723227665224733182030817032924142984129672674583962494837142115608973272184447994791598902345149186048) (.f64 z y) (if (<=.f64 z 45000000000000000658381285380369286393651934453909477667537485422640836391301669715968) x (.f64 z y)))
x

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(if (<=.f64 x -2096139380232981/2722258935367507707706996859454145691648) (.f64 (cos.f64 y) x) (if (<=.f64 x 14499999999999999263674317801483986664867383473623531520) (fma.f64 (sin.f64 y) z x) (.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -2096139380232981/2722258935367507707706996859454145691648) (not (<=.f64 x 14499999999999999263674317801483986664867383473623531520))) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z x))
(if (<=.f64 x -6805647338418769/5444517870735015415413993718908291383296) (.f64 (cos.f64 y) x) (if (<=.f64 x 1149999999999999970936443042957218206470051743750160384) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -6805647338418769/5444517870735015415413993718908291383296) (not (<=.f64 x 1149999999999999970936443042957218206470051743750160384))) (.f64 x (cos.f64 y)) (+.f64 x (.f64 (sin.f64 y) z)))
(if (<=.f64 y -118000000000000001459447489036640634605770878968675625990831277231855657699088686164574198319545820429619686107100975097374649060281426229237273834682186027574781076335927576149164337054121782717297197056) (.f64 z (sin.f64 y)) (if (<=.f64 y -1558380939346983/9444732965739290427392) (.f64 (cos.f64 y) x) (if (<=.f64 y 9002011107970261/73786976294838206464) (+.f64 (.f64 y z) x) (if (<=.f64 y 45999999999999997661300481547673670851250816593979890242204074392439119885469222095475916232992953976641168801809142867698507218730796072990039616016744371857365741482942546187386880) (.f64 (cos.f64 y) x) (if (<=.f64 y 6499999999999999585055086397414784909994085958636322393867890590471143219155746649445421557380535654139473258804562460631572756264757751367840405004770576492858148508349227507511631043470368241665126007023563134365691288057728518048762183645526864897236011546963865870794752) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))))
(if (<=.f64 y -118000000000000001459447489036640634605770878968675625990831277231855657699088686164574198319545820429619686107100975097374649060281426229237273834682186027574781076335927576149164337054121782717297197056) (.f64 (sin.f64 y) z) (if (<=.f64 y -1558380939346983/9444732965739290427392) (.f64 x (cos.f64 y)) (if (<=.f64 y 9002011107970261/73786976294838206464) (+.f64 x (.f64 y z)) (if (or (<=.f64 y 45999999999999997661300481547673670851250816593979890242204074392439119885469222095475916232992953976641168801809142867698507218730796072990039616016744371857365741482942546187386880) (not (<=.f64 y 6499999999999999585055086397414784909994085958636322393867890590471143219155746649445421557380535654139473258804562460631572756264757751367840405004770576492858148508349227507511631043470368241665126007023563134365691288057728518048762183645526864897236011546963865870794752))) (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(if (<=.f64 y -10500) (.f64 z (sin.f64 y)) (if (<=.f64 y 13000) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (or (<=.f64 y -10500) (not (<=.f64 y 13000))) (.f64 (sin.f64 y) z) (+.f64 x (.f64 y z)))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 z -13600000000000000113760333735455819024153811160830653727079213723227665224733182030817032924142984129672674583962494837142115608973272184447994791598902345149186048) (.f64 z y) (if (<=.f64 z 45000000000000000658381285380369286393651934453909477667537485422640836391301669715968) x (.f64 z y)))
(if (<=.f64 z -13600000000000000113760333735455819024153811160830653727079213723227665224733182030817032924142984129672674583962494837142115608973272184447994791598902345149186048) (.f64 y z) (if (<=.f64 z 45000000000000000658381285380369286393651934453909477667537485422640836391301669715968) x (.f64 y z)))
x

Compiler

Compiled 162 to 101 computations (37.7% saved)

soundness0.0ms (0%)

end79.0ms (0.9%)

Compiler: Compiled 138 to 56 computations (59.4% saved)