Details

analyze529.0ms (6.3%)

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)

sample2.3s (27.5%)

Results

1.0s	1977×	body	1024	valid
866.0ms	5154×	body	256	valid
405.0ms	1117×	body	512	valid
6.0ms	8×	body	2048	valid

Bogosity

preprocess15.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (.f64 x (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)))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

3 → 64

Calls

21 calls:

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

rewrite119.0ms (1.4%)

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	45
1	226	45
2	2919	45

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

Outputs
((#(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 (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 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(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 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(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 (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))))))) (#(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 (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 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 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Outputs

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

simplify106.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

672×	`distribute-lft-neg-in`
662×	`associate-+r+`
638×	`distribute-rgt-neg-in`
630×	`+-commutative`
558×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	7858
1	874	7414
2	4145	7408

Stop Event

1×	node limit

Counts

174 → 202

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 2 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))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.8%)

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

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

Outputs

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

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1602×	`associate-+r+`
1298×	`associate-+l+`
702×	`fma-def`
664×	`*-commutative`
590×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	3321
1	396	3267
2	1745	3193
3	5689	3193

Stop Event

1×	node limit

Counts

85 → 91

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

eval86.0ms (1%)

Compiler: Compiled 8392 to 2549 computations (69.6% saved)

prune61.0ms (0.7%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	299	19	318
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	299	21	320

Error

0.0b

Counts

320 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(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)))
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	36.3b	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.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)))))
	24.9b	(/.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)))))
	0.2b	(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	28.2b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
▶	31.5b	(+.f64 (*.f64 y z) x)
▶	29.4b	(+.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))
▶	29.1b	(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	23.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	25.4b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	28.2b	(.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 1/4) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/4))
	28.7b	(.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)))))))
	2.0b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3))
	29.1b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3))
	26.1b	(*.f64 (cos.f64 y) x)
	37.2b	(*.f64 z (sin.f64 y))
	39.8b	x

Compiler

Compiled 735 to 430 computations (41.5% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite64.0ms (0.8%)

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

simplify77.0ms (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))))))
(/.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 x (.f64 (cos.f64 y) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.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 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (.f64 x (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(.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 (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 (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 (sqrt.f64 (.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))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/6))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 5/2)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.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))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.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))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.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))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.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 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (.f64 (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))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 5)))
(.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 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (.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)))) 7))))
(/.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 (-.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 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 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
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(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
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localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`add-sqr-sqrt`
1628×	`*-un-lft-identity`
1516×	`add-cube-cbrt`
1500×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	9
2	2000	9

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-r`
1226×	`associate-l`
770×	`associate-+r+`
664×	`distribute-lft-neg-in`
622×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	916
1	220	866
2	832	866
3	4911	866

Stop Event

1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 -1/6 (.f64 (pow.f64 y 3) z))
	0.1b	(*.f64 x (cos.f64 y))
✓	5.2b	(*.f64 (pow.f64 y 3) z)
✓	6.9b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))

Compiler

Compiled 59 to 31 computations (47.5% saved)

series4.0ms (0.1%)

Counts

3 → 21

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
1.0ms	z	@	inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
0.0ms	y	@	0	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
0.0ms	z	@	-inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
0.0ms	y	@	inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))

rewrite84.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`*-commutative`
952×	`unswap-sqr`
704×	`swap-sqr`
456×	`distribute-lft-in`
450×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	242	57
2	3023	57

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(*.f64 (pow.f64 y 3) z)
(.f64 -1/6 (.f64 (pow.f64 y 3) z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y z))) (-.f64 1 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y 6) (*.f64 z z)) 1/36) z) (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y)) (/.f64 (pow.f64 (*.f64 y z) 2) (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (exp.f64 (log1p.f64 (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y z) (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> 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y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 y (cbrt.f64 z)) 2) (cbrt.f64 1/36)) (*.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 -1/6)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 y 3)) z (*.f64 y z))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 y 6) (*.f64 z z)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))))

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-/l/`
1008×	`associate-/r/`
802×	`associate-r`
744×	`associate-l`
460×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	8192
1	1066	7672
2	5441	7600

Stop Event

1×	node limit

Counts

142 → 194

Calls

Call 1

Inputs
(*.f64 y z)
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)))) (-.f64 1 (*.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 y z))) (-.f64 1 (.f64 -1/6 (*.f64 (pow.f64 y 3) z))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) z) (-.f64 (.f64 -1/6 (pow.f64 y 3)) y)) (/.f64 (pow.f64 (.f64 y z) 2) (.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))
(-.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (exp.f64 (log1p.f64 (*.f64 y z)))) 1)
(-.f64 (+.f64 (.f64 y z) (exp.f64 (log1p.f64 (.f64 -1/6 (*.f64 (pow.f64 y 3) z))))) 1)
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(.f64 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) 1)
(.f64 1 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) (sqrt.f64 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (sqrt.f64 z) (.f64 -1/6 (pow.f64 y 3))) (.f64 y (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 y (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 -1/6 (pow.f64 y 3)))))
(.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) (pow.f64 (cbrt.f64 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) 2) (cbrt.f64 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(.f64 (.f64 y (cbrt.f64 z)) (+.f64 (.f64 -1/6 (pow.f64 (.f64 y (cbrt.f64 z)) 2)) (pow.f64 (cbrt.f64 z) 2)))
(.f64 (.f64 y (cbrt.f64 z)) (+.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 -1/6 (pow.f64 (.f64 y (cbrt.f64 z)) 2))))
(.f64 (cbrt.f64 z) (+.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 -1/6 (pow.f64 y 3))) (.f64 y (pow.f64 (cbrt.f64 z) 2))))
(.f64 (cbrt.f64 z) (+.f64 (.f64 y (pow.f64 (cbrt.f64 z) 2)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 -1/6 (pow.f64 y 3)))))
(.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (/.f64 1 (.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (*.f64 -1/6 (pow.f64 y 3))))))))
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(fma.f64 1 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 (sqrt.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))) (sqrt.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))) (*.f64 y z))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (.f64 -1/6 (.f64 (pow.f64 y 3) z)))
(fma.f64 (.f64 (pow.f64 (.f64 y (cbrt.f64 z)) 2) (cbrt.f64 1/36)) (.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 -1/6)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) (.f64 -1/6 (.f64 (pow.f64 y 3) z)))
(fma.f64 (.f64 -1/6 (pow.f64 y 3)) z (.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y 3) z))) 1)
(pow.f64 (*.f64 (pow.f64 y 3) z) 1)
(pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 z)) 2)
(pow.f64 (*.f64 y (cbrt.f64 z)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 y 6) (.f64 z z)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 3)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y 3) z))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y 3) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y 3) z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 y 3) z)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y 3) z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)))) 1)
(pow.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) 1)
(pow.f64 (sqrt.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))) 2)
(pow.f64 (.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 -1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) 1/3)
(sqrt.f64 (.f64 (.f64 (pow.f64 y 6) (*.f64 z z)) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 (pow.f64 y 3) z)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))))

Outputs
(*.f64 y z)
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(neg.f64 (.f64 z (fma.f64 -1 y (.f64 (pow.f64 y 3) 1/6))))
(*.f64 z (neg.f64 (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(neg.f64 (.f64 z (fma.f64 -1 y (.f64 (pow.f64 y 3) 1/6))))
(*.f64 z (neg.f64 (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(neg.f64 (.f64 z (fma.f64 -1 y (.f64 (pow.f64 y 3) 1/6))))
(*.f64 z (neg.f64 (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(neg.f64 (.f64 z (fma.f64 -1 y (.f64 (pow.f64 y 3) 1/6))))
(*.f64 z (neg.f64 (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)))) (-.f64 1 (*.f64 y z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))) 1)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(-.f64 (exp.f64 (log1p.f64 (.f64 y z))) (-.f64 1 (.f64 -1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 y z))) 1) (.f64 -1/6 (*.f64 z (pow.f64 y 3))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (expm1.f64 (log1p.f64 (.f64 y z))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) z) (-.f64 (.f64 -1/6 (pow.f64 y 3)) y)) (/.f64 (pow.f64 (.f64 y z) 2) (.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))
(-.f64 (/.f64 (.f64 (pow.f64 y 6) (.f64 (.f64 z z) 1/36)) (.f64 z (fma.f64 -1/6 (pow.f64 y 3) (neg.f64 y)))) (/.f64 (pow.f64 (.f64 y z) 2) (.f64 z (fma.f64 -1/6 (pow.f64 y 3) (neg.f64 y)))))
(-.f64 (.f64 (/.f64 (pow.f64 y 6) z) (/.f64 (.f64 z (.f64 z 1/36)) (-.f64 (.f64 -1/6 (pow.f64 y 3)) y))) (/.f64 (/.f64 (pow.f64 (.f64 y z) 2) z) (-.f64 (.f64 -1/6 (pow.f64 y 3)) y)))
(-.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (exp.f64 (log1p.f64 (*.f64 y z)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 y z))) 1) (.f64 -1/6 (*.f64 z (pow.f64 y 3))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (expm1.f64 (log1p.f64 (.f64 y z))))
(-.f64 (+.f64 (.f64 y z) (exp.f64 (log1p.f64 (.f64 -1/6 (*.f64 (pow.f64 y 3) z))))) 1)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) 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 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) 1)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 1 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) (sqrt.f64 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (sqrt.f64 z) (.f64 -1/6 (pow.f64 y 3))) (.f64 y (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (fma.f64 y (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 z) -1/6) (pow.f64 y 3))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y)))
(.f64 (sqrt.f64 z) (+.f64 (.f64 y (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 -1/6 (pow.f64 y 3)))))
(.f64 (sqrt.f64 z) (fma.f64 y (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 z) -1/6) (pow.f64 y 3))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y)))
(.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) (pow.f64 (cbrt.f64 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) 2))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) 2) (cbrt.f64 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (.f64 y (cbrt.f64 z)) (+.f64 (.f64 -1/6 (pow.f64 (.f64 y (cbrt.f64 z)) 2)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (.f64 y (cbrt.f64 z)) (+.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 -1/6 (pow.f64 (.f64 y (cbrt.f64 z)) 2))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (cbrt.f64 z) (+.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 -1/6 (pow.f64 y 3))) (.f64 y (pow.f64 (cbrt.f64 z) 2))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (cbrt.f64 z) (+.f64 (.f64 y (pow.f64 (cbrt.f64 z) 2)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 -1/6 (pow.f64 y 3)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (/.f64 1 (.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))
(.f64 (.f64 z z) (.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (*.f64 y y)) (/.f64 (/.f64 1 z) (fma.f64 -1/6 (pow.f64 y 3) (neg.f64 y)))))
(.f64 1 (/.f64 (.f64 z (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y)))
(.f64 z (/.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y)) (-.f64 (.f64 -1/6 (pow.f64 y 3)) y)))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (*.f64 -1/6 (pow.f64 y 3))))))))
(.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36)))))
(.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (/.f64 1 (.f64 z (-.f64 (.f64 -1/6 (pow.f64 y 3)) y))) (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (*.f64 y y))))
(.f64 (.f64 z z) (.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (*.f64 y y)) (/.f64 (/.f64 1 z) (fma.f64 -1/6 (pow.f64 y 3) (neg.f64 y)))))
(.f64 1 (/.f64 (.f64 z (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y)))
(.f64 z (/.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y)) (-.f64 (.f64 -1/6 (pow.f64 y 3)) y)))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3))))))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (*.f64 y z) 3)))
(.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36)))))
(.f64 (/.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y 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 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3))) (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))))
(/.f64 (.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (fma.f64 -1/6 (pow.f64 y 3) y)))) (-.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216) (pow.f64 (*.f64 y z) 3)))
(/.f64 (.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (fma.f64 y (.f64 (.f64 z z) (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36))))) (-.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216) (pow.f64 (*.f64 y z) 3)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (-.f64 (.f64 (.f64 (.f64 (pow.f64 y 3) z) (pow.f64 (.f64 (pow.f64 y 3) z) 3)) 1/1296) (.f64 (pow.f64 (.f64 y z) 2) (.f64 (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3)))) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3)))))))) (-.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3)))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (-.f64 (.f64 (.f64 (.f64 z (pow.f64 y 3)) (pow.f64 (.f64 z (pow.f64 y 3)) 3)) 1/1296) (.f64 (pow.f64 (.f64 y z) 2) (.f64 (.f64 z z) (.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6)) (+.f64 y (.f64 (pow.f64 y 3) 1/6))))))) (-.f64 (.f64 (pow.f64 y 6) (.f64 (.f64 z z) 1/36)) (.f64 (.f64 (.f64 y z) z) (+.f64 y (*.f64 (pow.f64 y 3) 1/6)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (-.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 4) 1/1296) (.f64 z (.f64 (.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6)) (.f64 z (+.f64 y (.f64 (pow.f64 y 3) 1/6)))) (pow.f64 (.f64 y z) 2))))) (-.f64 (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36))) (.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6)) (.f64 y (*.f64 z z)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) 3) (pow.f64 (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3))))) 3))) (+.f64 (.f64 (.f64 (.f64 (pow.f64 y 3) z) (pow.f64 (.f64 (pow.f64 y 3) z) 3)) 1/1296) (.f64 (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3))))) (-.f64 (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3))))) (.f64 (.f64 (pow.f64 y 6) (*.f64 z z)) 1/36)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 3) 1/46656) (pow.f64 (.f64 (.f64 (.f64 y z) z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) 3))) (fma.f64 (.f64 (.f64 z (pow.f64 y 3)) (pow.f64 (.f64 z (pow.f64 y 3)) 3)) 1/1296 (.f64 (.f64 (.f64 (.f64 y z) z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (-.f64 (.f64 (.f64 (.f64 y z) z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 (pow.f64 y 6) (.f64 (*.f64 z z) 1/36))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6)) (.f64 y (.f64 z z))) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 (.f64 z (.f64 z (pow.f64 y 6))) -1/36)) (.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 4) 1/1296))) (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 6) 1/46656 (pow.f64 (.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6)) (.f64 y (.f64 z z))) 3)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))) (cbrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))) (cbrt.f64 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))))
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(/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (sqrt.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3)))))))) (sqrt.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (*.f64 -1/6 (pow.f64 y 3))))))))
(.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3))))))) (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3))))))))) (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (*.f64 -1/6 (pow.f64 y 3))))))))
(.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36)))))
(pow.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) 1)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(pow.f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) 2)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(pow.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) 3)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(pow.f64 (pow.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) 3) 1/3)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(neg.f64 (/.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (.f64 z (neg.f64 (-.f64 (.f64 -1/6 (pow.f64 y 3)) y)))))
(.f64 (/.f64 (.f64 z z) z) (/.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(.f64 1 (/.f64 (.f64 z (fma.f64 y y (.f64 (pow.f64 y 6) -1/36))) (+.f64 y (.f64 (pow.f64 y 3) 1/6))))
(.f64 z (/.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (neg.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3)))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3))) (neg.f64 (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (*.f64 (pow.f64 y 6) 1/36))))))
(sqrt.f64 (pow.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) 2))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) 2))
(fabs.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))
(log.f64 (exp.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(cbrt.f64 (pow.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) 3))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(expm1.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(exp.f64 (log.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(log1p.f64 (expm1.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 y z (.f64 -1/6 (.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 z y (.f64 -1/6 (.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 (.f64 (pow.f64 y 3) z) -1/6 (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 1 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 1 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 (sqrt.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))) (sqrt.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))) (*.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (.f64 -1/6 (.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 (.f64 (pow.f64 (.f64 y (cbrt.f64 z)) 2) (cbrt.f64 1/36)) (.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 -1/6)) (*.f64 y z))
(fma.f64 (.f64 (pow.f64 (.f64 y (cbrt.f64 z)) 2) (cbrt.f64 1/36)) (.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 -1/6))) (*.f64 y z))
(fma.f64 (.f64 (pow.f64 (.f64 y (cbrt.f64 z)) 2) (cbrt.f64 1/36)) (.f64 (cbrt.f64 z) (.f64 y (cbrt.f64 -1/6))) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) (.f64 -1/6 (.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 (.f64 -1/6 (pow.f64 y 3)) z (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y 3) z))) 1)
(*.f64 z (pow.f64 y 3))
(pow.f64 (*.f64 (pow.f64 y 3) z) 1)
(*.f64 z (pow.f64 y 3))
(pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 z)) 2)
(pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 y 3/2)) 2)
(pow.f64 (*.f64 y (cbrt.f64 z)) 3)
(*.f64 z (pow.f64 y 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) 1/3)
(*.f64 z (pow.f64 y 3))
(sqrt.f64 (.f64 (pow.f64 y 6) (.f64 z z)))
(sqrt.f64 (.f64 z (.f64 z (pow.f64 y 6))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 3)) z))
(*.f64 z (pow.f64 y 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y 3) z))))
(*.f64 z (pow.f64 y 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y 3) z) 3))
(*.f64 z (pow.f64 y 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 z 3)))
(*.f64 z (pow.f64 y 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (pow.f64 y 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (pow.f64 y 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (pow.f64 y 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)))) 1)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(pow.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) 1)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(pow.f64 (sqrt.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))) 2)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(pow.f64 (.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 -1/6)) 3)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(pow.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216))
(sqrt.f64 (.f64 (.f64 (pow.f64 y 6) (*.f64 z z)) 1/36))
(sqrt.f64 (.f64 (pow.f64 y 6) (.f64 (*.f64 z z) 1/36)))
(sqrt.f64 (.f64 z (.f64 z (*.f64 (pow.f64 y 6) 1/36))))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 (pow.f64 y 3) z)))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)))))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216))
(cbrt.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))

localize17.0ms (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))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	6.5b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series6.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite60.0ms (0.7%)

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (*.f64 z (sin.f64 y)) 1)))) (#(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 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(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 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(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 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(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 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))))) (#(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 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(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 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))))))))

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-+r+`
1180×	`distribute-lft-in`
1162×	`associate-+l+`
1148×	`distribute-rgt-in`
784×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1139
1	234	1007
2	884	879
3	2870	851

Stop Event

1×	node limit

Counts

61 → 62

Calls

Call 1

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

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(+.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))))
✓	2.8b	(.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
✓	2.9b	(+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))
✓	35.2b	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.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)))))

Compiler

Compiled 130 to 34 computations (73.8% saved)

series22.0ms (0.3%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.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)))))
3.0ms	z	@	0	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.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)))))
2.0ms	y	@	-inf	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.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)))))
1.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.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)))))
1.0ms	y	@	0	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.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)))))

rewrite123.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`associate-+l+`
474×	`add-sqr-sqrt`
464×	`*-un-lft-identity`
458×	`pow1`
442×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	256
1	466	248
2	6574	248

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

Inputs
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.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 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))
(.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))))

Outputs
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(.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (.f64 (sin.f64 y) (.f64 z (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))))) (/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (hypot.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (.f64 (sin.f64 y) (.f64 z (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)) 2))) (/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (cbrt.f64 (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 4) (pow.f64 (.f64 (sin.f64 y) (.f64 z (-.f64 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simplify202.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1466×	`associate-+r+`
1174×	`+-commutative`
896×	`associate-r`
788×	`fma-def`
774×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	517	22168
1	1500	19698
2	7298	19698

Stop Event

1×	node limit

Counts

298 → 313

Calls

Call 1

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

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

eval290.0ms (3.4%)

Compiler: Compiled 26157 to 10323 computations (60.5% saved)

prune179.0ms (2.1%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	800	8	808
Fresh	3	11	14
Picked	1	0	1
Done	2	4	6
Total	806	23	829

Error

0.0b

Counts

829 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(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)))
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	51.1b	(/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.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)))))
	24.9b	(/.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)))))
▶	0.2b	(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
▶	28.2b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
✓	31.5b	(+.f64 (*.f64 y z) x)
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
	29.4b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (.f64 z (sin.f64 y))))))
	31.4b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	23.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	25.4b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	35.8b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
▶	32.5b	(+.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
	28.7b	(.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)))))))
	2.0b	(.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))
	29.1b	(.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))
	26.1b	(*.f64 (cos.f64 y) x)
	37.2b	(*.f64 z (sin.f64 y))
▶	53.2b	(*.f64 y z)
	39.8b	x

Compiler

Compiled 740 to 438 computations (40.8% saved)

localize14.0ms (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)

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite76.0ms (0.9%)

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	52
1	279	52
2	3052	52

Stop Event

1×	node limit

Counts

2 → 100

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))))

Outputs

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

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1238×	`distribute-rgt-in`
1226×	`distribute-lft-in`
722×	`associate-/r/`
558×	`distribute-lft-neg-in`
552×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	7386
1	869	6824
2	3790	6820

Stop Event

1×	node limit

Counts

172 → 181

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

localize3.0ms (0%)

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

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 -1/6 (.f64 (pow.f64 y 3) z))
	5.2b	(*.f64 (pow.f64 y 3) z)
	6.9b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))

Compiler

Compiled 50 to 29 computations (42% saved)

localize16.0ms (0.2%)

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))
✓	0.3b	(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
6.0ms	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)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
0.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)

rewrite57.0ms (0.7%)

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)))))))))

simplify77.0ms (0.9%)

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)))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 3)
	1.2b	(+.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))))
	2.8b	(.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
✓	20.6b	(/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.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)))))

Compiler

Compiled 104 to 24 computations (76.9% saved)

series10.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`associate-*l/`
706×	`associate-+l+`
416×	`add-sqr-sqrt`
406×	`*-un-lft-identity`
402×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	407	100
2	5633	100

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.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)))))
(pow.f64 (*.f64 z (sin.f64 y)) 3)

Outputs

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

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

simplify111.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-+r+`
994×	`associate-+l+`
956×	`associate-r`
896×	`associate-l`
768×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	384	9384
1	1184	8132
2	6569	8132

Stop Event

1×	node limit

Counts

130 → 144

Calls

Call 1

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

eval342.0ms (4.1%)

Compiler: Compiled 27857 to 12173 computations (56.3% saved)

prune210.0ms (2.5%)

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	899	14	913
Fresh	5	9	14
Picked	1	0	1
Done	2	6	8
Total	907	29	936

Error

Counts

936 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	51.2b	(/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
	1.4b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3))
	31.6b	(/.f64 1 (/.f64 1 (+.f64 (*.f64 y z) x)))
	37.2b	(/.f64 1 (/.f64 1 (*.f64 z (sin.f64 y))))
▶	39.9b	(/.f64 1 (/.f64 1 x))
	41.6b	(/.f64 1 (-.f64 (/.f64 1 x) (.f64 (/.f64 z (.f64 x x)) y)))
	40.6b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	28.4b	(+.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) 2) 2) (.f64 z (sin.f64 y)))
	28.5b	(+.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y))))) 2) (.f64 z (sin.f64 y)))
✓	28.2b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	39.0b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 y z))
▶	0.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
▶	0.8b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	0.8b	(+.f64 (.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (*.f64 z (sin.f64 y)))
	17.1b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	31.5b	(+.f64 (*.f64 y z) x)
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
	29.4b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (.f64 z (sin.f64 y))))))
	31.4b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	23.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
▶	25.4b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	35.8b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
▶	26.1b	(*.f64 (cos.f64 y) x)
	37.2b	(*.f64 z (sin.f64 y))
✓	53.2b	(*.f64 y z)
	39.8b	x

Compiler

Compiled 747 to 511 computations (31.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 (cos.f64 y)) x)
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
✓	0.3b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
✓	0.4b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 55 to 18 computations (67.3% saved)

series13.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
2.0ms	x	@	0	(*.f64 (cbrt.f64 (cos.f64 y)) x)
1.0ms	y	@	-inf	(*.f64 (cbrt.f64 (cos.f64 y)) x)
1.0ms	y	@	inf	(*.f64 (cbrt.f64 (cos.f64 y)) x)
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)

rewrite70.0ms (0.8%)

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	50
1	218	50
2	2497	50

Stop Event

1×	node limit

Counts

4 → 67

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

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-def`
682×	`+-commutative`
582×	`*-commutative`
532×	`associate-*r/`
486×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	2051
1	403	2029
2	1404	1993
3	4087	1975
4	6960	1975

Stop Event

1×	node limit

Counts

139 → 130

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)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -23/6480 (.f64 (pow.f64 y 6) x)) x)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) 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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x))) 1)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 3)
(pow.f64 (*.f64 (cos.f64 y) (pow.f64 x 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 2))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (cos.f64 y))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x))))
(cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (cos.f64 y)) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.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))
(+.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 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 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 (.f64 x y) y) x)
(.f64 x (fma.f64 (.f64 y -1/2) y 1))
(+.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 (*.f64 x y) y) 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 (.f64 x y) y) 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 -1/2) y 1) (fma.f64 (pow.f64 y 6) -1/720 (*.f64 (pow.f64 y 4) 1/24))))
(.f64 x (+.f64 (fma.f64 (pow.f64 y 6) -1/720 (.f64 (pow.f64 y 4) 1/24)) (fma.f64 (*.f64 y -1/2) y 1)))
(*.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)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 -1/6 (.f64 y y) 1) x)
(fma.f64 (.f64 y y) (.f64 -1/6 x) x)
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/72 (.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (.f64 (*.f64 y y) x) x))
(fma.f64 -1/72 (.f64 (pow.f64 y 4) x) (.f64 (fma.f64 -1/6 (*.f64 y y) 1) x))
(.f64 x (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (.f64 y y) 1)) x)
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -23/6480 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/72 (.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 -23/6480 (.f64 (pow.f64 y 6) x) x)))
(fma.f64 -1/72 (.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (.f64 (.f64 x y) y) (fma.f64 -23/6480 (.f64 (pow.f64 y 6) x) x)))
(fma.f64 -1/72 (.f64 (pow.f64 y 4) x) (.f64 x (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 x (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) 1))))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(-.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)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x))) 1)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 1)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 2)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 3)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 2))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (cos.f64 y))) x))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x))))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (cos.f64 y)) x)) 1))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))
(*.f64 x (cbrt.f64 (cos.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	@	0	(/.f64 1 (/.f64 1 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 x))

rewrite48.0ms (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))))))

simplify44.0ms (0.5%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 y) x)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite46.0ms (0.5%)

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 (cos.f64 y) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 x) (cos.f64 y)))))) (#(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 log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))))

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1180×	`fma-def`
920×	`log-prod`
848×	`distribute-lft-out`
772×	`*-commutative`
660×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	377
1	126	311
2	420	233
3	2043	227
4	5541	227

Stop Event

1×	node limit

Counts

15 → 26

Calls

Call 1

Inputs
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 (+.f64 1 (*.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 x) (cos.f64 y)))
(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)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.1b	(pow.f64 (*.f64 x (cos.f64 y)) 3)
	0.1b	(*.f64 x (cos.f64 y))
✓	38.1b	(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
1.0ms	y	@	0	(pow.f64 (*.f64 x (cos.f64 y)) 3)
0.0ms	x	@	0	(pow.f64 (*.f64 x (cos.f64 y)) 3)
0.0ms	x	@	-inf	(pow.f64 (*.f64 x (cos.f64 y)) 3)
0.0ms	x	@	inf	(pow.f64 (*.f64 x (cos.f64 y)) 3)

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1638×	`*-un-lft-identity`
1538×	`add-cube-cbrt`
1522×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	205	28
2	2196	28

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

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

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1196×	`fma-def`
972×	`distribute-lft-out`
906×	`*-commutative`
738×	`distribute-lft-neg-in`
670×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	1871
1	456	1847
2	1870	1793
3	6057	1771

Stop Event

1×	node limit

Counts

107 → 94

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 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.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 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2))) x)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 2))) x) (.f64 -1/720 (pow.f64 x 3)))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (cos.f64 y)) 1)
(.f64 1 (.f64 x (cos.f64 y)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (pow.f64 (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))) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3))
(.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 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 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 1 1/3) (.f64 x (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) 1)
(.f64 x (.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(.f64 (cos.f64 y) (.f64 x (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(.f64 (.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) 1)
(.f64 1 (pow.f64 (.f64 x (cos.f64 y)) 3))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 3/2) (pow.f64 (*.f64 x (cos.f64 y)) 3/2))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(.f64 (.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) x) (cos.f64 y))
(.f64 (.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (cos.f64 y)) x)
(.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 1) (.f64 x (cos.f64 y)))
(.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (sqrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 3) (*.f64 x (cos.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))

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 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x)))
(.f64 (.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x)))
(.f64 (.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x)))
(.f64 (.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x)))
(.f64 (.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
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 x (fma.f64 -1/2 (.f64 y y) 1))
(+.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))
(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 y (.f64 y x)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 1/24 (pow.f64 y 4))) (.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))
(.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)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(pow.f64 x 3)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))
(fma.f64 (.f64 y y) (.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))
(fma.f64 y (.f64 y (.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 1 (.f64 (*.f64 y y) -3/2)))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) 1/3) (.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (.f64 (pow.f64 x 3) 1/3)) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (fma.f64 y (.f64 y (*.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (.f64 (pow.f64 x 3) (+.f64 1 (.f64 (.f64 y y) -3/2))))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2))) x)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 2))) x) (.f64 -1/720 (pow.f64 x 3)))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) 1/3) (.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (pow.f64 y 6) (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 (.f64 x (.f64 (.f64 x x) 1/3)) (fma.f64 (.f64 (.f64 x x) -2/45) x (.f64 -1/720 (pow.f64 x 3))))) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (.f64 (pow.f64 x 3) 1/3)) (fma.f64 (pow.f64 y 6) (fma.f64 (pow.f64 x 3) -1/24 (fma.f64 -1/2 (.f64 (pow.f64 x 3) 1/3) (fma.f64 -1/720 (pow.f64 x 3) (.f64 (pow.f64 x 3) -2/45)))) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 -1/2 (.f64 (pow.f64 x 3) 1/3) (fma.f64 (pow.f64 x 3) -1/24 (.f64 (pow.f64 x 3) -11/240))) (fma.f64 y (.f64 y (*.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 -1/2 (.f64 (pow.f64 x 3) 1/3) (.f64 (pow.f64 x 3) -7/80)) (.f64 (pow.f64 x 3) (+.f64 1 (.f64 (.f64 y y) -3/2)))))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 (cos.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2)))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(*.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)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 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 x (cos.f64 y)))))
(*.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)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 x (.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (cos.f64 y) (.f64 x (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 2))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 1 (pow.f64 (.f64 x (cos.f64 y)) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 3/2) (pow.f64 (*.f64 x (cos.f64 y)) 3/2))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) x) (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (cos.f64 y)) x)
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 1) (.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (sqrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 3) (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 x (cos.f64 y)))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)

localize20.0ms (0.2%)

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)
✓	0.6b	(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
1.0ms	y	@	inf	(*.f64 (cbrt.f64 x) (cos.f64 y))
1.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	y	@	0	(*.f64 (cbrt.f64 x) (cos.f64 y))
0.0ms	x	@	-inf	(*.f64 (cbrt.f64 x) (cos.f64 y))

rewrite98.0ms (1.2%)

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))))))))

simplify62.0ms (0.7%)

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))

eval145.0ms (1.7%)

Compiler: Compiled 9436 to 4077 computations (56.8% saved)

prune130.0ms (1.5%)

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	515	4	519
Fresh	2	16	18
Picked	0	1	1
Done	2	8	10
Total	519	29	548

Error

Counts

548 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	40.6b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	51.2b	(/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
	1.4b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3))
	31.6b	(/.f64 1 (/.f64 1 (+.f64 (*.f64 y z) x)))
	37.2b	(/.f64 1 (/.f64 1 (*.f64 z (sin.f64 y))))
✓	39.9b	(/.f64 1 (/.f64 1 x))
	41.6b	(/.f64 1 (-.f64 (/.f64 1 x) (.f64 (/.f64 z (.f64 x x)) y)))
	40.6b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	46.5b	(-.f64 (+.f64 1 x) 1)
	28.4b	(+.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) 2) 2) (.f64 z (sin.f64 y)))
	0.2b	(+.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
✓	0.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
✓	0.8b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	0.8b	(+.f64 (.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (*.f64 z (sin.f64 y)))
	17.1b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	31.5b	(+.f64 (*.f64 y z) x)
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
	29.4b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (.f64 z (sin.f64 y))))))
	31.4b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	23.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	35.8b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	26.1b	(*.f64 (cos.f64 y) x)
	37.2b	(*.f64 z (sin.f64 y))
✓	53.2b	(*.f64 y z)
	47.8b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
	39.8b	x

Compiler

Compiled 389 to 269 computations (30.8% saved)

regimes93.0ms (1.1%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	y
20.0ms	x
20.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
19.0ms	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 711 to 255 computations (64.1% saved)

regimes102.0ms (1.2%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	z
11.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
10.0ms	y
8.0ms	x

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 165 to 82 computations (50.3% saved)

regimes66.0ms (0.8%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	y
11.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
9.0ms	x
8.0ms	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 157 to 81 computations (48.4% saved)

regimes178.0ms (2.1%)

Counts

13 → 4

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 y z) x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (-.f64 (/.f64 1 x) (.f64 (/.f64 z (.f64 x x)) y)))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(/.f64 1 (/.f64 1 (*.f64 z (sin.f64 y))))
(+.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))

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

Calls

3 calls:

86.0ms	z
56.0ms	x
33.0ms	y

Results

Error	Segments	Branch
13.0b	4	`x`
11.3b	4	`y`
13.0b	7	`z`

Compiler

Compiled 106 to 59 computations (44.3% saved)

bsearch145.0ms (1.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
6.0ms	7.690081486344532e+65	8.807475703469644e+65
59.0ms	-888.9127594491316	-1.2701756015391112
80.0ms	-3.6946439131634533e+174	-1.903800458329128e+172

Results

79.0ms	112×	body	1024	valid
62.0ms	160×	body	256	valid

Compiler

Compiled 330 to 237 computations (28.2% saved)

regimes98.0ms (1.2%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	z
26.0ms	y
22.0ms	x

Results

Error	Segments	Branch
14.6b	3	`x`
11.8b	5	`y`
13.1b	7	`z`

Compiler

Compiled 77 to 46 computations (40.3% saved)

bsearch264.0ms (3.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
77.0ms	5.690307050338116e+159	9.43886564635468e+179
62.0ms	2.344803401864888e-6	0.0007537128539443915
23.0ms	-888.9127594491316	-1.2701756015391112
102.0ms	-3.6946439131634533e+174	-1.903800458329128e+172

Results

176.0ms	288×	body	1024	valid
58.0ms	256×	body	256	valid

Compiler

Compiled 578 to 421 computations (27.2% saved)

regimes94.0ms (1.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	y
30.0ms	z
21.0ms	x

Results

Error	Segments	Branch
22.9b	3	`x`
16.5b	3	`y`
25.2b	5	`z`

Compiler

Compiled 73 to 44 computations (39.7% saved)

bsearch85.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.04979930281471329	0.657623406736264
69.0ms	-888.9127594491316	-1.2701756015391112

Results

83.0ms

224×

body

256

valid

Compiler

Compiled 256 to 181 computations (29.3% saved)

regimes18.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
6.0ms	x
5.0ms	y

Results

Error	Segments	Branch
31.5b	1	`x`
31.5b	1	`y`
31.5b	1	`z`

Compiler

Compiled 69 to 42 computations (39.1% saved)

regimes53.0ms (0.6%)

Accuracy

Total -26.7b remaining (-75%)

Threshold costs -26.7b (-75%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)

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

Calls

3 calls:

36.0ms	x
13.0ms	z
3.0ms	y

Results

Error	Segments	Branch
36.6b	3	`x`
39.8b	1	`y`
35.6b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch99.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	2.8523083770023314e+110	6.442344639915373e+115
58.0ms	-1.2030936061945287e+187	-7.633576692111556e+184

Results

61.0ms	59×	body	1024	valid
24.0ms	156×	body	256	valid
11.0ms	41×	body	512	valid

Compiler

Compiled 210 to 157 computations (25.2% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	341
1	71	341

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 y -26999999999999999829874216096143263682712668127423409363779287583691319476578452454366261303950251278240545903303723116488402193434579073295888258485462351217603100245229568) (.f64 (cos.f64 y) x) (if (<=.f64 y -31/2) (.f64 z (sin.f64 y)) (if (<=.f64 y 820000000000000026251753411738022944509140450737429374290549014528) (+.f64 (.f64 x (cos.f64 y)) (.f64 y z)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y -200000000000000002807837251159941043564923941140258272187660085890042609097300216216368266487131373689224571527556203812385978553726279379745535544168843379433521211366178816) (.f64 (cos.f64 y) x) (if (<=.f64 y -5854679515581645/4503599627370496) (.f64 z (sin.f64 y)) (if (<=.f64 y 6640827866535439/18446744073709551616) (+.f64 (.f64 y z) x) (if (<=.f64 y 120000000000000006292574213700754046345685601853156695326793646919816742017044626365851481970654291391864695637003186133952144820162246929820787575527108287261802884721449331851264) (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(if (<=.f64 y -5854679515581645/4503599627370496) (.f64 z (sin.f64 y)) (if (<=.f64 y 3602879701896397/72057594037927936) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 z -230000000000000013426939797956752980114101762673064256376777245359127200806469296487315412087705566581486858472836885786391407392175822979048152023020622819773875443513595771478222045184) (.f64 y z) (if (<=.f64 z 108000000000000004414480347961183952086593534764501341495397011303045593898006873965059671110045028378421749612544) x (.f64 y z)))
x

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(if (<=.f64 y -26999999999999999829874216096143263682712668127423409363779287583691319476578452454366261303950251278240545903303723116488402193434579073295888258485462351217603100245229568) (.f64 (cos.f64 y) x) (if (<=.f64 y -31/2) (.f64 z (sin.f64 y)) (if (<=.f64 y 820000000000000026251753411738022944509140450737429374290549014528) (+.f64 (.f64 x (cos.f64 y)) (.f64 y z)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y -26999999999999999829874216096143263682712668127423409363779287583691319476578452454366261303950251278240545903303723116488402193434579073295888258485462351217603100245229568) (.f64 x (cos.f64 y)) (if (or (<=.f64 y -31/2) (not (<=.f64 y 820000000000000026251753411738022944509140450737429374290549014528))) (.f64 (sin.f64 y) z) (+.f64 (.f64 x (cos.f64 y)) (.f64 y z))))
(if (<=.f64 y -200000000000000002807837251159941043564923941140258272187660085890042609097300216216368266487131373689224571527556203812385978553726279379745535544168843379433521211366178816) (.f64 (cos.f64 y) x) (if (<=.f64 y -5854679515581645/4503599627370496) (.f64 z (sin.f64 y)) (if (<=.f64 y 6640827866535439/18446744073709551616) (+.f64 (.f64 y z) x) (if (<=.f64 y 120000000000000006292574213700754046345685601853156695326793646919816742017044626365851481970654291391864695637003186133952144820162246929820787575527108287261802884721449331851264) (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(if (<=.f64 y -200000000000000002807837251159941043564923941140258272187660085890042609097300216216368266487131373689224571527556203812385978553726279379745535544168843379433521211366178816) (.f64 x (cos.f64 y)) (if (<=.f64 y -5854679515581645/4503599627370496) (.f64 (sin.f64 y) z) (if (<=.f64 y 6640827866535439/18446744073709551616) (+.f64 x (.f64 y z)) (if (<=.f64 y 120000000000000006292574213700754046345685601853156695326793646919816742017044626365851481970654291391864695637003186133952144820162246929820787575527108287261802884721449331851264) (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(if (<=.f64 y -5854679515581645/4503599627370496) (.f64 z (sin.f64 y)) (if (<=.f64 y 3602879701896397/72057594037927936) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (or (<=.f64 y -5854679515581645/4503599627370496) (not (<=.f64 y 3602879701896397/72057594037927936))) (.f64 (sin.f64 y) z) (+.f64 x (.f64 y z)))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 z -230000000000000013426939797956752980114101762673064256376777245359127200806469296487315412087705566581486858472836885786391407392175822979048152023020622819773875443513595771478222045184) (.f64 y z) (if (<=.f64 z 108000000000000004414480347961183952086593534764501341495397011303045593898006873965059671110045028378421749612544) x (.f64 y z)))
x

Compiler

Compiled 157 to 94 computations (40.1% saved)

soundness0.0ms (0%)

end68.0ms (0.8%)

Compiler: Compiled 133 to 48 computations (63.9% saved)