Details

analyze244.0ms (2.4%)

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)

sample2.4s (23.8%)

Results

1.1s	2053×	body	1024	valid
975.0ms	5146×	body	256	valid
337.0ms	1052×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess19.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.17%	(*.f64 z (cos.f64 y))
✓	0.17%	(*.f64 x (sin.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series10.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite98.0ms (1%)

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

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

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

simplify141.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

648×	`associate-+r+`
634×	`distribute-lft-neg-in`
624×	`+-commutative`
598×	`distribute-rgt-neg-in`
564×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	8002
1	874	7546
2	4095	7540

Stop Event

1×	node limit

Counts

186 → 197

Calls

Call 1

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

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

eval62.0ms (0.6%)

Compiler: Compiled 6056 to 1879 computations (69% saved)

prune49.0ms (0.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	180	17	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	180	18	198

Error

0.05%

Counts

198 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	49.03%	(fma.f64 y x z)
	40.87%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))
▶	66.4%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))
	39.71%	(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
▶	0.36%	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	47.87%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
▶	0.87%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
	35.41%	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
▶	49.03%	(+.f64 (*.f64 y x) z)
	1.45%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.2%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	38.28%	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	26.52%	(+.f64 (*.f64 x (sin.f64 y)) z)
	26.83%	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	51%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))))
	40.31%	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
	55.88%	(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))

Compiler

Compiled 742 to 410 computations (44.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.11%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	0.17%	(*.f64 x (sin.f64 y))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

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

Outputs

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

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1584×	`associate-+r+`
1300×	`associate-+l+`
670×	`fma-def`
666×	`*-commutative`
590×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	3325
1	392	3267
2	1739	3195
3	5622	3195

Stop Event

1×	node limit

Counts

85 → 86

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite56.0ms (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 x) z)

Outputs

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

simplify74.0ms (0.7%)

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	0.17%	(*.f64 z (cos.f64 y))
✓	0.31%	(/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
✓	0.35%	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series8.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite104.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

Outputs

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

simplify148.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1378×	`distribute-rgt-in`
1372×	`distribute-lft-in`
584×	`associate-/l*`
558×	`associate-r`
550×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	426	12977
1	1200	12143
2	5278	12143

Stop Event

1×	node limit

Counts

309 → 259

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.17%	(*.f64 x (sin.f64 y))
	0.17%	(*.f64 z (cos.f64 y))
✓	1.05%	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
✓	9.3%	(cbrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series12.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite320.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-+r+`
1570×	`associate-+l+`
1066×	`unswap-sqr`
536×	`distribute-lft-neg-in`
536×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1035
1	258	1035
2	862	1035
3	3375	1035

Stop Event

1×	node limit

Counts

73 → 63

Calls

Call 1

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

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

localize72.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.46%	(pow.f64 (*.f64 x (sin.f64 y)) 2)
✓	4.84%	(-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))
✓	6.45%	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))
✓	13.19%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))

Compiler

Compiled 129 to 34 computations (73.6% saved)

series36.0ms (0.4%)

Counts

4 → 116

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))
5.0ms	y	@	0	(pow.f64 (*.f64 x (sin.f64 y)) 2)
2.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))
2.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))
2.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))

rewrite156.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`distribute-lft-in`
464×	`add-sqr-sqrt`
452×	`*-un-lft-identity`
448×	`pow1`
426×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	202
1	453	102
2	6467	102

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (sin.f64 y)) 0) (.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) -1/2) (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) -1/2) (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 y)))) (+.f64 (.f64 z (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) (-.f64 1 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (/.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x (sin.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (sin.f64 y) (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) (.f64 x (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (sin.f64 y))) (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (sin.f64 y)) (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (sin.f64 y)) x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (sin.f64 y)) (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (cbrt.f64 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 x (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)))))))

simplify173.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1664×	`times-frac`
1078×	`associate-/l*`
852×	`associate-/r*`
836×	`*-commutative`
668×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	811	23422
1	2190	21758

Stop Event

1×	node limit

Counts

370 → 482

Calls

Call 1

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

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

eval600.0ms (5.9%)

Compiler: Compiled 33026 to 10545 computations (68.1% saved)

prune453.0ms (4.5%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1022	19	1041
Fresh	9	3	12
Picked	1	0	1
Done	2	3	5
Total	1034	25	1059

Error

Counts

1059 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	50.42%	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
▶	39.74%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
	39.71%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))))
	47.57%	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)))
	91.8%	(/.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))
	2.16%	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
	37.12%	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
▶	60.54%	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
	62.84%	(/.f64 1 (/.f64 1 z))
	67.92%	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 x (/.f64 (*.f64 z z) y))))
▶	47.87%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
	27.19%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
▶	0.84%	(+.f64 (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (*.f64 z (cos.f64 y)))
	51.41%	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
✓	49.03%	(+.f64 (*.f64 y x) z)
	1.45%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.2%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	26.83%	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	50.5%	(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 1/4) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 1/4)))
	50.4%	(.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
	60.48%	(*.f64 (sin.f64 y) x)
	37.01%	(*.f64 (cos.f64 y) z)
▶	82.03%	(*.f64 y x)
	62.78%	z

Compiler

Compiled 753 to 487 computations (35.3% saved)

localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.41%	(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.42%	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2))
✓	0.77%	(pow.f64 (cbrt.f64 x) 2)
✓	1.01%	(cbrt.f64 x)

Compiler

Compiled 53 to 22 computations (58.5% saved)

series13.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

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

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`add-sqr-sqrt`
1880×	`*-un-lft-identity`
1742×	`add-cube-cbrt`
1714×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	218	48
2	2496	48

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1414×	`associate-+r+`
1338×	`associate-+l+`
1202×	`associate-/r*`
1082×	`unswap-sqr`
696×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1649
1	386	1637
2	1471	1555
3	5187	1555

Stop Event

1×	node limit

Counts

103 → 110

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.17%	(*.f64 (sin.f64 y) x)
✓	0.42%	(/.f64 1 (*.f64 (sin.f64 y) x))
✓	0.75%	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))

Compiler

Compiled 26 to 12 computations (53.8% saved)

series7.0ms (0.1%)

Counts

3 → 32

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
2.0ms	x	@	inf	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
0.0ms	y	@	0	(/.f64 1 (*.f64 (sin.f64 y) x))
0.0ms	y	@	inf	(/.f64 1 (*.f64 (sin.f64 y) x))
0.0ms	y	@	-inf	(/.f64 1 (*.f64 (sin.f64 y) x))

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`add-sqr-sqrt`
1678×	`*-un-lft-identity`
1554×	`add-cube-cbrt`
1534×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	203	39
2	2199	39

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
(/.f64 1 (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)

Outputs

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

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

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1362×	`associate-*r/`
1230×	`unswap-sqr`
1150×	`associate-/r*`
932×	`associate-*l/`
926×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2015
1	414	1987
2	1625	1963

Stop Event

1×	node limit

Counts

117 → 108

Calls

Call 1

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

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

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.17%	(*.f64 x (sin.f64 y))
	0.17%	(*.f64 z (cos.f64 y))
✓	0.35%	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
✓	8.6%	(sqrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series6.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite91.0ms (0.9%)

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

Outputs

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

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1264×	`associate-+r+`
1202×	`distribute-lft-in`
1166×	`associate-+l+`
1148×	`distribute-rgt-in`
784×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1019
1	235	1007
2	887	999
3	2873	999

Stop Event

1×	node limit

Counts

69 → 60

Calls

Call 1

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

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

localize71.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.41%	(pow.f64 (cos.f64 y) 2)
✓	0.46%	(pow.f64 (*.f64 (sin.f64 y) x) 2)
✓	4.84%	(-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)))
✓	37.6%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))

Compiler

Compiled 89 to 30 computations (66.3% saved)

series8.0ms (0.1%)

Counts

4 → 100

Calls

27 calls:

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

rewrite153.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`associate-/r/`
514×	`associate-+l+`
426×	`add-sqr-sqrt`
420×	`*-un-lft-identity`
416×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	150
1	406	90
2	5897	90

Stop Event

1×	node limit

Counts

4 → 247

Calls

Call 1

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

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

simplify246.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1590×	`associate-r`
1280×	`associate-l`
1174×	`associate-/l*`
722×	`*-commutative`
596×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	721	25649
1	2107	24575

Stop Event

1×	node limit

Counts

347 → 410

Calls

Call 1

Inputs
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 y x) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) z)) (+.f64 (.f64 -1/2 z) (.f64 -1 (/.f64 (pow.f64 x 2) z)))) (pow.f64 y 2)) z))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 x) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) z)) (+.f64 (.f64 -1/2 z) (.f64 -1 (/.f64 (pow.f64 x 2) z)))) x) z)))))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) z)) (+.f64 (.f64 -1/2 z) (.f64 -1 (/.f64 (pow.f64 x 2) z)))) (pow.f64 y 2)) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (cos.f64 y))))) (pow.f64 x 2))))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z)))) (.f64 (sin.f64 y) (pow.f64 x 3))) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))))) (pow.f64 x 2)))))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y)) (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y))) x)) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) (.f64 z (-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)) (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y))))) (.f64 (sin.f64 y) (pow.f64 x 2)))) (+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y)) (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y))) x)) (*.f64 (sin.f64 y) x))))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 -1 (pow.f64 z 2))
(+.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) (pow.f64 y 2)) (*.f64 -1 (pow.f64 z 2)))
(+.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) (pow.f64 y 2)) (+.f64 (.f64 (-.f64 (.f64 -1/3 (pow.f64 x 2)) (.f64 1/3 (pow.f64 z 2))) (pow.f64 y 4)) (.f64 -1 (pow.f64 z 2))))
(+.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) (pow.f64 y 2)) (+.f64 (.f64 (-.f64 (.f64 -1/3 (pow.f64 x 2)) (.f64 1/3 (pow.f64 z 2))) (pow.f64 y 4)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (.f64 -2/45 (pow.f64 z 2))) (pow.f64 y 6)) (.f64 -1 (pow.f64 z 2)))))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))
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(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(+.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (exp.f64 (log1p.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)))) 1)
(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1)
(.f64 (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))
(.f64 1 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 3))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (-.f64 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 3)) (-.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (sin.f64 y) x) 4)) (.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) 3) (pow.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (sin.f64 y) x) 4)) (.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))) (.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))) (.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(fma.f64 (.f64 (sin.f64 y) x) (.f64 (sin.f64 y) x) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(fma.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2) (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))) 1)
(.f64 (sin.f64 y) (.f64 x (*.f64 (sin.f64 y) x)))
(.f64 x (.f64 (sin.f64 y) (*.f64 (sin.f64 y) x)))
(.f64 (.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x))
(.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) 1)
(.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(.f64 (.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)) x)
(.f64 (.f64 (*.f64 (sin.f64 y) x) x) (sin.f64 y))
(.f64 (.f64 (.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 y) x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 (sin.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
(+.f64 (.f64 1/2 (cos.f64 (.f64 2 y))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1)
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))

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

eval371.0ms (3.7%)

Compiler: Compiled 23176 to 8507 computations (63.3% saved)

prune301.0ms (3%)

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	756	12	768
Fresh	7	10	17
Picked	1	0	1
Done	3	4	7
Total	767	26	793

Error

Counts

793 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	78.04%	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
	81.55%	(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
▶	61.56%	(/.f64 (.f64 (.f64 z (neg.f64 z)) (pow.f64 (cos.f64 y) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))
	61.53%	(/.f64 (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
	2.16%	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
	60.63%	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	37.12%	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	82.1%	(/.f64 1 (/.f64 (/.f64 1 y) x))
▶	60.6%	(/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) (/.f64 1 x))))
	60.61%	(/.f64 1 (/.f64 1 (/.f64 x (/.f64 1 (sin.f64 y)))))
	82.07%	(/.f64 1 (/.f64 1 (*.f64 y x)))
▶	62.84%	(/.f64 1 (/.f64 1 z))
	67.92%	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 x (/.f64 (*.f64 z z) y))))
	81.72%	(/.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (.f64 1/6 (/.f64 y x))))
✓	49.03%	(+.f64 (*.f64 y x) z)
▶	1.45%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.2%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	61.11%	(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
	78.12%	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
	50.5%	(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 1/4) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 1/4)))
	50.4%	(.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
	60.48%	(*.f64 (sin.f64 y) x)
▶	37.01%	(*.f64 (cos.f64 y) z)
✓	82.03%	(*.f64 y x)
	62.78%	z

Compiler

Compiled 665 to 447 computations (32.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.17%	(*.f64 x (sin.f64 y))
	0.17%	(*.f64 z (cos.f64 y))
✓	1.01%	(cbrt.f64 (*.f64 z (cos.f64 y)))
✓	1.08%	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1176×	`fma-def`
908×	`*-commutative`
784×	`distribute-lft-in`
740×	`distribute-rgt-in`
528×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	1795
1	539	1709
2	1902	1635
3	5710	1617

Stop Event

1×	node limit

Counts

81 → 92

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.24%	(/.f64 1 (/.f64 1 z))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite91.0ms (0.9%)

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 z))

Outputs

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

simplify52.0ms (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
z
z
z
z
z
z
z
z
z
z
z
z
(-.f64 (+.f64 1 z) 1)
(*.f64 1 z)
(*.f64 z 1)
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))
(*.f64 -1 (neg.f64 z))
(*.f64 (neg.f64 z) -1)
(*.f64 (pow.f64 (pow.f64 z -1/2) -1) (pow.f64 (pow.f64 z -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 z -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 z)) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 z)) -1) (pow.f64 (cbrt.f64 (pow.f64 z -2)) -1))
(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(.f64 (.f64 -1 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(.f64 (.f64 (sqrt.f64 z) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z)))
(.f64 (.f64 (cbrt.f64 z) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2)))
(.f64 (.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
(.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))
(.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z)))
(.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z)))
(.f64 (.f64 -1 (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(.f64 (.f64 -1 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(.f64 (.f64 -1 (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(.f64 (.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(pow.f64 z 1)
(pow.f64 (/.f64 1 z) -1)
(pow.f64 (sqrt.f64 z) 2)
(pow.f64 (cbrt.f64 z) 3)
(pow.f64 (pow.f64 z 3) 1/3)
(sqrt.f64 (*.f64 z z))
(log.f64 (exp.f64 z))
(cbrt.f64 (pow.f64 z 3))
(expm1.f64 (log1p.f64 z))
(exp.f64 (log.f64 z))
(log1p.f64 (expm1.f64 z))

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.17%	(*.f64 (cos.f64 y) z)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite64.0ms (0.6%)

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) z)

Outputs

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1238×	`fma-def`
914×	`log-prod`
884×	`distribute-lft-out`
766×	`*-commutative`
662×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	341
1	132	333
2	436	325
3	2085	319
4	5558	319

Stop Event

1×	node limit

Counts

23 → 26

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.42%	(/.f64 (sin.f64 y) (/.f64 1 x))
✓	0.42%	(/.f64 1 (/.f64 (sin.f64 y) (/.f64 1 x)))
✓	0.75%	(/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) (/.f64 1 x))))

Compiler

Compiled 35 to 22 computations (37.1% saved)

series1.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`associate-*l/`
1330×	`associate-/r*`
944×	`*-commutative`
772×	`associate-/l*`
548×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	235	39
2	2824	39

Stop Event

1×	node limit

Counts

3 → 210

Calls

Call 1

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

Outputs

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

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1684×	`unswap-sqr`
962×	`associate-/r/`
836×	`associate-/l/`
670×	`distribute-rgt-in`
648×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	5712
1	840	5512
2	2747	5494

Stop Event

1×	node limit

Counts

282 → 212

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.17%	(*.f64 (sin.f64 y) x)
	0.17%	(*.f64 z (cos.f64 y))
	0.41%	(pow.f64 (cos.f64 y) 2)
✓	27.34%	(/.f64 (.f64 (.f64 z (neg.f64 z)) (pow.f64 (cos.f64 y) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))

Compiler

Compiled 66 to 20 computations (69.7% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`associate-*r/`
1360×	`associate-*l/`
400×	`associate-+l+`
382×	`add-sqr-sqrt`
372×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	370	45
2	5291	45

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 z (neg.f64 z)) (pow.f64 (cos.f64 y) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))

Outputs

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

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

978×	`unswap-sqr`
550×	`associate-/l*`
498×	`distribute-lft-in`
492×	`distribute-rgt-in`
464×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	5435
1	790	5049
2	3897	5031

Stop Event

1×	node limit

Counts

85 → 108

Calls

Call 1

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

Outputs
(.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (sin.f64 y) x)))
(neg.f64 (/.f64 (.f64 z z) (/.f64 (.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) 2))))
(/.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))
(.f64 -1 (+.f64 (/.f64 (.f64 z z) (/.f64 (.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) 2))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))))
(-.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 4) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 z 4))) (.f64 -1 (+.f64 (/.f64 (.f64 z z) (/.f64 (.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) 2))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)) (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 (sin.f64 y) 4)) (/.f64 (pow.f64 z 5) (pow.f64 x 4))) (fma.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 4) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 z 4))) (.f64 -1 (+.f64 (/.f64 (.f64 z z) (/.f64 (.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) 2))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (.f64 (/.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 (sin.f64 y) 4)) (/.f64 (pow.f64 z 5) (pow.f64 x 4)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 (.f64 (sin.f64 y) x) 4)) (pow.f64 z 5)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (pow.f64 (.f64 (sin.f64 y) x) 3))))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 z (cos.f64 y))) (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) z) (/.f64 (.f64 x x) (cos.f64 y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
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eval196.0ms (1.9%)

Compiler: Compiled 11734 to 5321 computations (54.7% saved)

prune187.0ms (1.8%)

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	603	9	612
Fresh	4	13	17
Picked	1	0	1
Done	0	8	8
Total	608	30	638

Error

Counts

638 → 30

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	78.04%	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
	38.22%	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
	61.53%	(/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
	61.65%	(/.f64 (.f64 (.f64 z (neg.f64 z)) (+.f64 (.f64 1/2 (cos.f64 (.f64 2 y))) 1/2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))
	2.16%	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
	60.63%	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	37.12%	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	82.1%	(/.f64 1 (/.f64 (/.f64 1 y) x))
	60.6%	(/.f64 1 (/.f64 (/.f64 1 x) (sin.f64 y)))
	82.1%	(/.f64 1 (/.f64 (/.f64 1 x) y))
✓	60.6%	(/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) (/.f64 1 x))))
	60.61%	(/.f64 1 (/.f64 1 (/.f64 x (/.f64 1 (sin.f64 y)))))
	82.07%	(/.f64 1 (/.f64 1 (*.f64 y x)))
✓	62.84%	(/.f64 1 (/.f64 1 z))
	67.92%	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 x (/.f64 (*.f64 z z) y))))
	81.72%	(/.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (.f64 1/6 (/.f64 y x))))
	74.62%	(-.f64 (+.f64 1 z) 1)
✓	49.03%	(+.f64 (*.f64 y x) z)
✓	1.45%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	1.37%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))))
✓	0.2%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	61.13%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 1 x)) (cbrt.f64 (sin.f64 y)))
	78.12%	(.f64 (.f64 (sqrt.f64 (sin.f64 y)) x) (sqrt.f64 (sin.f64 y)))
	61.11%	(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
	50.4%	(.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
	60.48%	(*.f64 (sin.f64 y) x)
✓	37.01%	(*.f64 (cos.f64 y) z)
✓	82.03%	(*.f64 y x)
	62.78%	z

Compiler

Compiled 378 to 271 computations (28.3% saved)

regimes168.0ms (1.7%)

Counts

58 → 1

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	y
43.0ms	z
28.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
26.0ms	x

Results

Error	Segments	Branch
0.2%	1	`x`
0.2%	1	`y`
0.2%	1	`z`
0.2%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 853 to 315 computations (63.1% saved)

regimes113.0ms (1.1%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	z
13.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
13.0ms	x
12.0ms	y

Results

Error	Segments	Branch
0.2%	1	`x`
0.2%	1	`y`
0.2%	1	`z`
0.2%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 194 to 109 computations (43.8% saved)

regimes263.0ms (2.6%)

Counts

21 → 5

Calls

Call 1

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

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

Calls

3 calls:

119.0ms	z
74.0ms	y
65.0ms	x

Results

Error	Segments	Branch
12.74%	3	`x`
19.56%	5	`y`
11.08%	5	`z`

Compiler

Compiled 159 to 94 computations (40.9% saved)

bsearch164.0ms (1.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
61.0ms	2.5690488325037046e+58	4.349986974288854e+61
30.0ms	24398635.262811065	530755696.9173677
39.0ms	1.024949085069212e-12	4.163630553729418e-7
34.0ms	-8.202630023511659e+57	-1.6990252593829798e+56

Results

57.0ms	128×	body	1024	valid
52.0ms	305×	body	256	valid
49.0ms	63×	body	512	valid

Compiler

Compiled 576 to 416 computations (27.8% saved)

regimes249.0ms (2.5%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

3 calls:

109.0ms	y
77.0ms	x
21.0ms	z

Results

Error	Segments	Branch
21.53%	7	`x`
20.46%	5	`y`
20.81%	3	`z`

Compiler

Compiled 93 to 57 computations (38.7% saved)

bsearch258.0ms (2.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
70.0ms	1.0529295196602072e+254	2.005190014178457e+254
105.0ms	1.1774336417505296e+160	5.257472002215742e+168
46.0ms	3.0270545719744367e-5	0.012396631716137202
36.0ms	-7792.629658705435	-0.08799702352216394

Results

172.0ms	208×	body	1024	valid
80.0ms	272×	body	256	valid

Compiler

Compiled 515 to 373 computations (27.6% saved)

regimes66.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	x
20.0ms	y
19.0ms	z

Results

Error	Segments	Branch
29.99%	3	`x`
22.27%	3	`y`
28.21%	3	`z`

Compiler

Compiled 85 to 54 computations (36.5% saved)

bsearch47.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.0270545719744367e-5	0.012396631716137202
26.0ms	-7792.629658705435	-0.08799702352216394

Results

44.0ms

272×

body

256

valid

Compiler

Compiled 307 to 217 computations (29.3% saved)

regimes36.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	z
6.0ms	x
6.0ms	y

Results

Error	Segments	Branch
49.03%	1	`x`
49.03%	1	`y`
49.03%	1	`z`

Compiler

Compiled 81 to 52 computations (35.8% saved)

regimes59.0ms (0.6%)

Accuracy

Total -25.5b remaining (-69.4%)

Threshold costs -25.5b (-69.4%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

42.0ms	x
9.0ms	z
8.0ms	y

Results

Error	Segments	Branch
60.02%	2	`x`
60.57%	3	`y`
57.36%	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch76.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	1.688106782674658e-179	1.3993589978756115e-178
34.0ms	-2.064463927843749e-155	-1.3373611162339762e-158

Results

27.0ms	61×	body	1024	valid
26.0ms	28×	body	512	valid
21.0ms	135×	body	256	valid

Compiler

Compiled 186 to 139 computations (25.3% saved)

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	328
1	77	318
2	80	314
3	86	310
4	90	310
5	94	310
6	95	310
7	96	310

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -2550000000000000114572836301485805932035016906767545139200) (.f64 (cos.f64 y) z) (if (<=.f64 z 6346860552976803/604462909807314587353088) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 z 35000000) (.f64 (cos.f64 y) z) (if (<=.f64 z 6200000000000000114374546653646881292660389903131683367944192) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y -3242591731706757/36028797018963968) (.f64 (cos.f64 y) z) (if (<=.f64 y 5072854620270127/1152921504606846976) (+.f64 (.f64 y x) z) (if (<=.f64 y 2299999999999999931677937682050073365793141736576300789552929870010170098181347412800117782930114283504817839122453022456439689536460887260504522137094637985447391789056) (.f64 (cos.f64 y) z) (if (<=.f64 y 179999999999999988544567248798166519255662731896261324167109933020446813004948735880080965902565056403658633286969302464192711954975658043387900723369560100083270954648982294226319523873271968974368975530571936713993847249288394892341023454492882508972032) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y -3242591731706757/36028797018963968) (.f64 (cos.f64 y) z) (if (<=.f64 y 2824657686286775/576460752303423488) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 z -5935929635354509/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) z (if (<=.f64 z 8759885985834615/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (*.f64 y x) z))
z

Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(if (<=.f64 z -2550000000000000114572836301485805932035016906767545139200) (.f64 (cos.f64 y) z) (if (<=.f64 z 6346860552976803/604462909807314587353088) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 z 35000000) (.f64 (cos.f64 y) z) (if (<=.f64 z 6200000000000000114374546653646881292660389903131683367944192) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z -2550000000000000114572836301485805932035016906767545139200) (.f64 (cos.f64 y) z) (if (<=.f64 z 6346860552976803/604462909807314587353088) (+.f64 z (.f64 x (sin.f64 y))) (if (or (<=.f64 z 35000000) (not (<=.f64 z 6200000000000000114374546653646881292660389903131683367944192))) (.f64 (cos.f64 y) z) (+.f64 z (.f64 x (sin.f64 y))))))
(if (<=.f64 z -2550000000000000114572836301485805932035016906767545139200) (.f64 (cos.f64 y) z) (if (or (<=.f64 z 6346860552976803/604462909807314587353088) (not (or (<=.f64 z 35000000) (not (<=.f64 z 6200000000000000114374546653646881292660389903131683367944192))))) (+.f64 z (.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 z -2550000000000000114572836301485805932035016906767545139200) (not (or (<=.f64 z 6346860552976803/604462909807314587353088) (not (or (<=.f64 z 35000000) (not (<=.f64 z 6200000000000000114374546653646881292660389903131683367944192))))))) (.f64 (cos.f64 y) z) (+.f64 z (.f64 x (sin.f64 y))))
(if (or (<=.f64 z -2550000000000000114572836301485805932035016906767545139200) (not (or (<=.f64 z 6346860552976803/604462909807314587353088) (and (not (<=.f64 z 35000000)) (<=.f64 z 6200000000000000114374546653646881292660389903131683367944192))))) (.f64 (cos.f64 y) z) (+.f64 z (.f64 x (sin.f64 y))))
(if (or (<=.f64 z -2550000000000000114572836301485805932035016906767545139200) (and (not (<=.f64 z 6346860552976803/604462909807314587353088)) (or (<=.f64 z 35000000) (not (<=.f64 z 6200000000000000114374546653646881292660389903131683367944192))))) (.f64 (cos.f64 y) z) (+.f64 z (.f64 x (sin.f64 y))))
(if (<=.f64 y -3242591731706757/36028797018963968) (.f64 (cos.f64 y) z) (if (<=.f64 y 5072854620270127/1152921504606846976) (+.f64 (.f64 y x) z) (if (<=.f64 y 2299999999999999931677937682050073365793141736576300789552929870010170098181347412800117782930114283504817839122453022456439689536460887260504522137094637985447391789056) (.f64 (cos.f64 y) z) (if (<=.f64 y 179999999999999988544567248798166519255662731896261324167109933020446813004948735880080965902565056403658633286969302464192711954975658043387900723369560100083270954648982294226319523873271968974368975530571936713993847249288394892341023454492882508972032) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y -3242591731706757/36028797018963968) (.f64 (cos.f64 y) z) (if (<=.f64 y 5072854620270127/1152921504606846976) (+.f64 z (.f64 y x)) (if (or (<=.f64 y 2299999999999999931677937682050073365793141736576300789552929870010170098181347412800117782930114283504817839122453022456439689536460887260504522137094637985447391789056) (not (<=.f64 y 179999999999999988544567248798166519255662731896261324167109933020446813004948735880080965902565056403658633286969302464192711954975658043387900723369560100083270954648982294226319523873271968974368975530571936713993847249288394892341023454492882508972032))) (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))))
(if (<=.f64 y -3242591731706757/36028797018963968) (.f64 (cos.f64 y) z) (if (<=.f64 y 2824657686286775/576460752303423488) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -3242591731706757/36028797018963968) (not (<=.f64 y 2824657686286775/576460752303423488))) (.f64 (cos.f64 y) z) (+.f64 z (.f64 y x)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 y x))
(if (<=.f64 z -5935929635354509/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) z (if (<=.f64 z 8759885985834615/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (*.f64 y x) z))
z

Compiler

Compiled 140 to 91 computations (35% saved)

soundness0.0ms (0%)

end82.0ms (0.8%)

Compiler: Compiled 119 to 52 computations (56.3% saved)