Details

analyze232.0ms (2.5%)

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)

sample2.6s (27.5%)

Results

1.2s	2082×	body	1024	valid
955.0ms	5129×	body	256	valid
395.0ms	1040×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess20.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (.f64 x (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)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 x (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

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite93.0ms (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 z (cos.f64 y))
(*.f64 x (sin.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 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 (.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 (fma.f64 z (cos.f64 y) (.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 z (cos.f64 y))))))) (#(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 (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 z (cos.f64 y)) (exp.f64 (log1p.f64 (.f64 x (sin.f64 y))))) 1)))) (#(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 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))))) (#(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 z (cos.f64 y) (.f64 x (sin.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 z (cos.f64 y) (.f64 x (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.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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fma.f64 1 (*.f64 z (cos.f64 y)) (*.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 (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 (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 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.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)))))))

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

648×	`associate-+r+`
634×	`distribute-lft-neg-in`
626×	`+-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	4092	7540

Stop Event

1×	node limit

Counts

186 → 197

Calls

Call 1

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

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

eval58.0ms (0.6%)

Compiler: Compiled 6056 to 1881 computations (68.9% saved)

prune48.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	181	16	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	181	17	198

Error

0.0b

Counts

198 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	28.2b	(/.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)))))
▶	45.8b	(/.f64 (-.f64 (.f64 x (.f64 (sin.f64 y) (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 z (.f64 (cos.f64 y) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 2))))
	39.6b	(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
	0.2b	(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	28.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
▶	0.5b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
	22.1b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
▶	30.3b	(+.f64 (*.f64 y x) z)
	31.0b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	28.2b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	15.8b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	18.1b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	28.0b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 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))))
	31.0b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)))))

Compiler

Compiled 754 to 418 computations (44.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

15 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	213	34
2	2507	34

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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

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

simplify114.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1350×	`fma-def`
772×	`+-commutative`
754×	`times-frac`
712×	`associate-+r-`
704×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	3754
1	522	3676
2	2351	3570
3	7683	3570

Stop Event

1×	node limit

Counts

106 → 120

Calls

Call 1

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

localize5.0ms (0.1%)

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(pow.f64 (*.f64 x (sin.f64 y)) 3)
✓	33.8b	(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

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

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1420×	`fma-def`
990×	`*-commutative`
928×	`distribute-lft-out`
706×	`distribute-lft-neg-in`
686×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	1943
1	478	1913
2	1921	1825
3	6173	1811

Stop Event

1×	node limit

Counts

107 → 91

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 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.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 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) x) (.f64 -1/5040 (pow.f64 x 3)))))))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (sin.f64 y)) 1)
(.f64 1 (.f64 x (sin.f64 y)))
(.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 (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))) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/3))
(.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 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 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3))
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 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)))))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (sin.f64 y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))) 1)
(.f64 x (.f64 (sin.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (sin.f64 y) (.f64 x (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) 1)
(.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 3))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) (pow.f64 (*.f64 x (sin.f64 y)) 3/2))
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(.f64 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) x) (sin.f64 y))
(.f64 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (sin.f64 y)) x)
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1) (.f64 x (sin.f64 y)))
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) 3) (*.f64 x (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 x (sin.f64 y)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))

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 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(.f64 (.f64 (sin.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (sin.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(.f64 (.f64 (sin.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (sin.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(.f64 (.f64 (sin.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (sin.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(.f64 (.f64 (sin.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (sin.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/5040 (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 (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 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (.f64 (pow.f64 y 5) -1/2)))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 x x) 2/45) x (.f64 (pow.f64 x 3) 23/360)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 7) (fma.f64 (pow.f64 x 3) 23/360 (.f64 (pow.f64 x 3) 2/45)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 7) (.f64 (pow.f64 x 3) 13/120) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) x) (.f64 -1/5040 (pow.f64 x 3)))))))))
(fma.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 x x) 2/45) x (.f64 (pow.f64 x 3) 23/360)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 x (.f64 (.f64 x x) 2/45)) (fma.f64 -1/360 (pow.f64 x 3) (fma.f64 (.f64 (.f64 x x) -1/315) x (*.f64 -1/5040 (pow.f64 x 3)))))))))
(fma.f64 (pow.f64 y 7) (fma.f64 (pow.f64 x 3) 23/360 (.f64 (pow.f64 x 3) 2/45)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 x 3) 2/45) (fma.f64 (pow.f64 x 3) -1/360 (fma.f64 -1/5040 (pow.f64 x 3) (.f64 (pow.f64 x 3) -1/315)))) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(fma.f64 (pow.f64 y 7) (.f64 (pow.f64 x 3) 13/120) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 x 3) 2/45) (fma.f64 -1/5040 (pow.f64 x 3) (.f64 (pow.f64 x 3) -1/168))) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2)))))
(fma.f64 (pow.f64 y 7) (.f64 (pow.f64 x 3) 13/120) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 x 3) 2/45) (.f64 (pow.f64 x 3) -31/5040)) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2)))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(-.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 (.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(.f64 1 (.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 (.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 (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))) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/3))
(*.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 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 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2)))
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(*.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)
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 x (sin.f64 y))) 1))
(*.f64 (sin.f64 y) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 x (.f64 (sin.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (sin.f64 y) (.f64 x (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) (pow.f64 (*.f64 x (sin.f64 y)) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (*.f64 x (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) x) (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (sin.f64 y)) x)
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1) (.f64 x (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) 3) (*.f64 x (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 6))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 x (sin.f64 y)))))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
✓	7.0b	(cbrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series8.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 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))))))))

simplify51.0ms (0.5%)

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)

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (sin.f64 y) (pow.f64 (.f64 (sin.f64 y) x) 3))
✓	1.5b	(.f64 x (.f64 (sin.f64 y) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
✓	7.5b	(-.f64 (.f64 x (.f64 (sin.f64 y) (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 z (.f64 (cos.f64 y) (pow.f64 (.f64 (cos.f64 y) z) 3))))
✓	44.0b	(/.f64 (-.f64 (.f64 x (.f64 (sin.f64 y) (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 z (.f64 (cos.f64 y) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 2))))

Compiler

Compiled 206 to 70 computations (66% saved)

series30.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/.f64 (-.f64 (.f64 x (.f64 (sin.f64 y) (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 z (.f64 (cos.f64 y) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 2))))
5.0ms	y	@	inf	(.f64 (sin.f64 y) (pow.f64 (.f64 (sin.f64 y) x) 3))
4.0ms	x	@	0	(/.f64 (-.f64 (.f64 x (.f64 (sin.f64 y) (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 z (.f64 (cos.f64 y) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 2))))
3.0ms	y	@	-inf	(/.f64 (-.f64 (.f64 x (.f64 (sin.f64 y) (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 z (.f64 (cos.f64 y) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 2))))
2.0ms	y	@	0	(/.f64 (-.f64 (.f64 x (.f64 (sin.f64 y) (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 z (.f64 (cos.f64 y) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 2))))

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`add-sqr-sqrt`
622×	`*-un-lft-identity`
614×	`pow1`
588×	`add-cbrt-cube`
588×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	278
1	633	194

Stop Event

1×	node limit

Counts

4 → 97

Calls

Call 1

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

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

simplify153.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-+r+`
976×	`+-commutative`
906×	`associate-r`
768×	`fma-def`
716×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	485	16441
1	1505	14095
2	7085	14095

Stop Event

1×	node limit

Counts

217 → 249

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

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

eval238.0ms (2.5%)

Compiler: Compiled 20512 to 8414 computations (59% saved)

prune249.0ms (2.7%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	616	13	629
Fresh	4	7	11
Picked	1	0	1
Done	2	3	5
Total	623	23	646

Error

0.0b

Counts

646 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	57.0b	(/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
	35.3b	(/.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))))))))
▶	0.2b	(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
▶	28.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
▶	16.2b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x)) (*.f64 z (cos.f64 y)))
	33.9b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	32.1b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
▶	32.9b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2))) (.f64 z (cos.f64 y)))
✓	30.3b	(+.f64 (*.f64 y x) z)
	31.0b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	28.2b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	15.8b	(+.f64 (*.f64 x (sin.f64 y)) z)
	30.9b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	30.5b	(.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))
	31.4b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3))
	31.0b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)))))
	40.9b	(*.f64 (sin.f64 y) x)
▶	22.3b	(*.f64 (cos.f64 y) z)
	37.2b	z

Compiler

Compiled 781 to 461 computations (41% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 14 computations (68.9% saved)

series6.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite101.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

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

simplify149.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1378×	`distribute-rgt-in`
1374×	`distribute-lft-in`
554×	`associate-r`
530×	`associate-/l*`
502×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	413	12983
1	1144	12143
2	5039	12143

Stop Event

1×	node limit

Counts

309 → 269

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite55.0ms (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)))))))

simplify52.0ms (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))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.6b	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
	7.0b	(cbrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 34 to 12 computations (64.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
✓	6.3b	(sqrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series36.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	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	@	0	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
0.0ms	x	@	0	(sqrt.f64 (*.f64 x (sin.f64 y)))
0.0ms	y	@	0	(sqrt.f64 (*.f64 x (sin.f64 y)))

rewrite59.0ms (0.6%)

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))))))))

simplify65.0ms (0.7%)

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)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2)))
✓	3.6b	(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
✓	11.9b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))

Compiler

Compiled 67 to 28 computations (58.2% saved)

series90.0ms (1%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
27.0ms	y	@	inf	(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
11.0ms	y	@	-inf	(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
10.0ms	x	@	-inf	(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
6.0ms	x	@	inf	(pow.f64 (*.f64 (sin.f64 y) x) 3/2)

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1840×	`add-sqr-sqrt`
1808×	`*-un-lft-identity`
1692×	`add-cube-cbrt`
1668×	`add-cbrt-cube`
210×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	222	43
2	2612	43

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2)))

Outputs

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

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

((#(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 pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2) 2/3)))) (#(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 (*.f64 (sin.f64 y) x) 1)))) (#(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 (sqrt.f64 (*.f64 (sin.f64 y) x))) 2))))) (#(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 log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))))))

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

850×	`*-commutative`
798×	`distribute-lft-neg-in`
748×	`+-commutative`
696×	`fma-def`
662×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	2612
1	470	2578
2	1779	2250
3	5587	2226

Stop Event

1×	node limit

Counts

120 → 114

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))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 y) (log.f64 x))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 2))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (.f64 11/480 (.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 4)))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (+.f64 (.f64 11/480 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 4))) (.f64 -127/120960 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 6))))))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (sin.f64 y)) (log.f64 x))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (sin.f64 y)) (log.f64 x))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (sin.f64 y)) (log.f64 x))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (sin.f64 y)) (log.f64 x))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sin.f64 y))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sin.f64 y))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sin.f64 y))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)))) 1)
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) 1)
(.f64 1 (sqrt.f64 (.f64 (sin.f64 y) x)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) x))) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)) (cbrt.f64 (pow.f64 x 3/2)))
(.f64 (pow.f64 1 1/3) (sqrt.f64 (.f64 (sin.f64 y) x)))
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/4) 1/3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/4) 1/3))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 x 3/2) 1/3))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))) 3)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(fabs.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 (sin.f64 y) x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))) 1)
(.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2) 1)
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3/2))
(.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/4) (pow.f64 (*.f64 (sin.f64 y) x) 3/4))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x))))
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 x 3/2))
(*.f64 (pow.f64 x 3/2) (pow.f64 (sin.f64 y) 3/2))
(.f64 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (sqrt.f64 (.f64 (sin.f64 y) x)))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(.f64 (.f64 (.f64 (sin.f64 y) x) (cbrt.f64 (.f64 (sin.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(.f64 (pow.f64 1 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) 3/2) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3/2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2)))
(exp.f64 (.f64 3/2 (log.f64 (.f64 (sin.f64 y) x))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 (sin.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2) 2/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(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 (sqrt.f64 (.f64 (sin.f64 y) x))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))

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))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 x 3/2) (pow.f64 y 3/2))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 2))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))))
(fma.f64 -1/4 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x))) (.f64 y y)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x))))
(.f64 (+.f64 (.f64 -1/4 (.f64 y y)) 1) (.f64 (pow.f64 x 3/2) (pow.f64 y 3/2)))
(.f64 (+.f64 1 (.f64 -1/4 (.f64 y y))) (.f64 (pow.f64 x 3/2) (pow.f64 y 3/2)))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (.f64 11/480 (.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/4 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x))) (.f64 y y)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x)))) (.f64 11/480 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x))) (pow.f64 y 4))))
(fma.f64 -1/4 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x))) (.f64 y y)) (fma.f64 11/480 (*.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x))) (pow.f64 y 4)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x)))))
(fma.f64 (pow.f64 y 3/2) (pow.f64 x 3/2) (.f64 (.f64 (pow.f64 x 3/2) (pow.f64 y 3/2)) (+.f64 (.f64 11/480 (pow.f64 y 4)) (.f64 -1/4 (*.f64 y y)))))
(.f64 (.f64 (pow.f64 x 3/2) (pow.f64 y 3/2)) (+.f64 (.f64 -1/4 (.f64 y y)) (+.f64 1 (*.f64 11/480 (pow.f64 y 4)))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (+.f64 (.f64 11/480 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 4))) (.f64 -127/120960 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/4 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x))) (.f64 y y)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x)))) (fma.f64 11/480 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x))) (pow.f64 y 4)) (.f64 (*.f64 -127/120960 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 6))))
(+.f64 (fma.f64 -1/4 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x))) (.f64 y y)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x)))) (fma.f64 11/480 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x))) (pow.f64 y 4)) (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 y) (log.f64 x))) (*.f64 (pow.f64 y 6) -127/120960))))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 y y)) 1) (.f64 (pow.f64 x 3/2) (pow.f64 y 3/2))) (.f64 (.f64 (pow.f64 x 3/2) (pow.f64 y 3/2)) (+.f64 (.f64 11/480 (pow.f64 y 4)) (.f64 -127/120960 (pow.f64 y 6)))))
(fma.f64 (pow.f64 y 3/2) (pow.f64 x 3/2) (.f64 (.f64 (pow.f64 x 3/2) (pow.f64 y 3/2)) (+.f64 (.f64 -1/4 (.f64 y y)) (+.f64 (.f64 -127/120960 (pow.f64 y 6)) (.f64 11/480 (pow.f64 y 4))))))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (sin.f64 y)) (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (sin.f64 y)) (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (sin.f64 y)) (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (sin.f64 y)) (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sin.f64 y))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (sin.f64 y)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 (neg.f64 (sin.f64 y)) 3/2))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sin.f64 y))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (sin.f64 y)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 (neg.f64 (sin.f64 y)) 3/2))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sin.f64 y))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (sin.f64 y)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 (neg.f64 (sin.f64 y)) 3/2))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sin.f64 y))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (sin.f64 y)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 (neg.f64 (sin.f64 y)) 3/2))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (.f64 1/120 (pow.f64 y 5))))
(.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (.f64 -1/6 (pow.f64 y 3))) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 x (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 -1/5040 (pow.f64 y 7) (.f64 -1/6 (pow.f64 y 3)))))
(*.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 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)))) 1)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) 1)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(.f64 1 (sqrt.f64 (.f64 (sin.f64 y) x)))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) x))) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(.f64 (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 (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)) (cbrt.f64 (pow.f64 x 3/2)))
(.f64 (pow.f64 1 1/3) (sqrt.f64 (.f64 (sin.f64 y) x)))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/4) 1/3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/4) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/4)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/4)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 x 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)) (cbrt.f64 (pow.f64 x 3/2)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2) 1/3)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/2)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))) 2)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))) 3)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(fabs.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 (sin.f64 y) x))) 1/3))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 y) x))) 1))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))) 1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2) 1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3/2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/4) (pow.f64 (*.f64 (sin.f64 y) x) 3/4))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 x 3/2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(*.f64 (pow.f64 x 3/2) (pow.f64 (sin.f64 y) 3/2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(.f64 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (sqrt.f64 (.f64 (sin.f64 y) x)))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(.f64 (.f64 (.f64 (sin.f64 y) x) (cbrt.f64 (.f64 (sin.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) x))) (.f64 (.f64 (sin.f64 y) x) (cbrt.f64 (*.f64 (sin.f64 y) x))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 4))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))) 7))
(.f64 (pow.f64 1 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) 3/2) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 3/2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3/2))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 3/2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(exp.f64 (.f64 3/2 (log.f64 (.f64 (sin.f64 y) x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 (sin.f64 y) x))) 1))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2) 2/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(*.f64 (sin.f64 y) x)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))
(*.f64 (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 y) x))) 2))
(*.f64 (sin.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) x)) 1))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)

eval275.0ms (3%)

Compiler: Compiled 16776 to 6820 computations (59.3% saved)

prune301.0ms (3.2%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	733	14	747
Fresh	9	6	15
Picked	1	0	1
Done	2	5	7
Total	745	25	770

Error

Counts

770 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
▶	30.5b	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)
▶	41.7b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
	23.1b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
	57.0b	(/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
	35.3b	(/.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))))))))
	27.7b	(/.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) -2)))
	41.0b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
▶	22.4b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	1.8b	(/.f64 1 (/.f64 1 (/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))))))
▶	0.2b	(/.f64 1 (/.f64 1 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
▶	37.3b	(/.f64 1 (/.f64 1 z))
	39.1b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
	36.5b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
✓	16.2b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	39.2b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
	15.8b	(+.f64 (*.f64 (sin.f64 y) x) z)
✓	30.3b	(+.f64 (*.f64 y x) z)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	30.9b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	30.5b	(.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))
	40.9b	(*.f64 (sin.f64 y) x)
✓	22.3b	(*.f64 (cos.f64 y) z)
	47.2b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
	37.2b	z

Compiler

Compiled 734 to 453 computations (38.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 15 computations (71.2% saved)

series3.0ms (0%)

Counts

2 → 64

Calls

18 calls:

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

rewrite126.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`associate-*r/`
1024×	`associate-*l/`
652×	`distribute-rgt-in`
614×	`distribute-lft-in`
450×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	292	52
2	3489	52

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

Outputs

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

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

818×	`associate-/r/`
726×	`associate-r`
694×	`+-commutative`
614×	`associate-l`
578×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	428	11194
1	1343	10360
2	5897	10360

Stop Event

1×	node limit

Counts

192 → 246

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.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))

rewrite50.0ms (0.5%)

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))))))

simplify46.0ms (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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 z) (cos.f64 y))
✓	0.2b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))

Compiler

Compiled 25 to 15 computations (40% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (/.f64 1 z) (cos.f64 y))
0.0ms	y	@	inf	(/.f64 (/.f64 1 z) (cos.f64 y))
0.0ms	y	@	-inf	(/.f64 (/.f64 1 z) (cos.f64 y))
0.0ms	z	@	0	(/.f64 (/.f64 1 z) (cos.f64 y))
0.0ms	z	@	inf	(/.f64 (/.f64 1 z) (cos.f64 y))

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) z) 1)))) (#(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 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z))))) (#(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 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (pow.f64 (/.f64 1 (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (cos.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 y)) (neg.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 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (/.f64 (sqrt.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (neg.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (*.f64 (cos.f64 y) (cbrt.f64 z)))))) (#(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) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (cbrt.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 y) -1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 z -2))) (*.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (cbrt.f64 z)) (/.f64 (sqrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 z -1/2)) (/.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cos.f64 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simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1466×	`associate-+l+`
918×	`associate-/r/`
846×	`unswap-sqr`
826×	`associate-/l/`
788×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	3409
1	785	3283
2	2426	3269
3	7447	3269

Stop Event

1×	node limit

Counts

179 → 175

Calls

Call 1

Inputs
(*.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 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 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 z)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (/.f64 1 z) (.f64 5/24 (/.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 61/720 (/.f64 (pow.f64 y 6) z)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (/.f64 1 z) (*.f64 5/24 (/.f64 (pow.f64 y 4) z)))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(.f64 1 (.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (cos.f64 y) z) 1)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (sqrt.f64 z) (.f64 (cos.f64 y) (sqrt.f64 z)))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 z) (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 z (cos.f64 y))
(*.f64 z (pow.f64 (/.f64 1 (cos.f64 y)) -1))
(.f64 -1 (.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (neg.f64 z) (neg.f64 (cos.f64 y)))
(*.f64 (neg.f64 z) (/.f64 (cos.f64 y) -1))
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 (cos.f64 y)) z) (/.f64 (sqrt.f64 (cos.f64 y)) 1))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) z) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(.f64 (.f64 (cos.f64 y) (neg.f64 z)) -1)
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (.f64 (cos.f64 y) (cbrt.f64 z)))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (cbrt.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 (cos.f64 y) -1) (neg.f64 z))
(.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (/.f64 (sqrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 z -2))) (.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (cbrt.f64 z)))
(.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (cbrt.f64 z)) (/.f64 (sqrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 z -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 z -1/2)) (/.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 z -1/2)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 z -1/2)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 z -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (.f64 (cos.f64 y) z)))
(*.f64 (pow.f64 (/.f64 1 (cos.f64 y)) -1) z)
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) z))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) -1))
(.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) -1))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) -1) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) -1))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 1) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (/.f64 (neg.f64 (cos.f64 y)) 1) (neg.f64 z))
(*.f64 (/.f64 (neg.f64 (cos.f64 y)) -1) z)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (/.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) 1) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2))) 1) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (cos.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (/.f64 -1 z))) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 z (/.f64 1 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (cos.f64 y)))
(*.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (cos.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (/.f64 -1 z))) (cbrt.f64 (neg.f64 (cos.f64 y))))
(.f64 (/.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2))) -1) (cbrt.f64 (neg.f64 z)))
(pow.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)
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (cos.f64 y) z)))) 1)
(.f64 1 (/.f64 1 (.f64 (cos.f64 y) z)))
(*.f64 (/.f64 1 z) (/.f64 1 (cos.f64 y)))
(*.f64 (/.f64 1 z) (neg.f64 (/.f64 -1 (cos.f64 y))))
(.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1)
(*.f64 (pow.f64 z -1/2) (/.f64 (pow.f64 z -1/2) (cos.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) z))) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) z))) (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (cos.f64 y) z)))))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (cos.f64 y) (cbrt.f64 z))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) 2) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) 2) (neg.f64 (/.f64 -1 (cbrt.f64 (*.f64 (cos.f64 y) z)))))
(*.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 z))
(.f64 -1 (/.f64 -1 (.f64 (cos.f64 y) z)))
(*.f64 (/.f64 -1 z) (/.f64 -1 (cos.f64 y)))
(.f64 (/.f64 -1 (.f64 (cos.f64 y) z)) -1)
(.f64 (sqrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z))) (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)))))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z))) (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z)))) (neg.f64 (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)))))
(*.f64 (/.f64 (pow.f64 z -1/2) (cos.f64 y)) (pow.f64 z -1/2))
(.f64 (/.f64 1 (.f64 (cos.f64 y) (cbrt.f64 z))) (cbrt.f64 (pow.f64 z -2)))
(.f64 (/.f64 1 (.f64 (cos.f64 y) (cbrt.f64 z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) 1))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (cos.f64 y)) z)) (/.f64 1 (sqrt.f64 (cos.f64 y))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 y))) (/.f64 1 (.f64 (sqrt.f64 (cos.f64 y)) z)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 1 (.f64 (cbrt.f64 (cos.f64 y)) z)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (cos.f64 y)) z)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 (cos.f64 y) z))) (/.f64 -1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 -1 (cos.f64 y)) (/.f64 -1 z))
(*.f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 (pow.f64 z -1/2) (cbrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (cos.f64 y))) (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 1 (.f64 (cos.f64 y) (cbrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (cos.f64 y))) (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (cos.f64 y))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (cos.f64 y))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) z))) 1) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) -1) (/.f64 -1 z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (cos.f64 y)) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) z))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z)))) (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z))) (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z))))) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (.f64 (cos.f64 y) z)))) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) 2))) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) -1)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1/3)
(neg.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (cos.f64 y) z))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))

Outputs
(*.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 z (+.f64 (.f64 y (*.f64 y -1/2)) (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 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)))
(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 (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 z)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(fma.f64 1/2 (/.f64 (*.f64 y y) z) (/.f64 1 z))
(fma.f64 1/2 (/.f64 y (/.f64 z y)) (/.f64 1 z))
(fma.f64 1/2 (*.f64 (/.f64 y z) y) (/.f64 1 z))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (/.f64 1 z) (.f64 5/24 (/.f64 (pow.f64 y 4) z))))
(fma.f64 1/2 (/.f64 (.f64 y y) z) (+.f64 (/.f64 1 z) (.f64 5/24 (/.f64 (pow.f64 y 4) z))))
(fma.f64 1/2 (/.f64 y (/.f64 z y)) (fma.f64 5/24 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))
(fma.f64 1/2 (*.f64 (/.f64 y z) y) (fma.f64 5/24 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))
(+.f64 (.f64 61/720 (/.f64 (pow.f64 y 6) z)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (/.f64 1 z) (*.f64 5/24 (/.f64 (pow.f64 y 4) z)))))
(fma.f64 61/720 (/.f64 (pow.f64 y 6) z) (fma.f64 1/2 (/.f64 (.f64 y y) z) (+.f64 (/.f64 1 z) (.f64 5/24 (/.f64 (pow.f64 y 4) z)))))
(fma.f64 61/720 (/.f64 (pow.f64 y 6) z) (fma.f64 1/2 (/.f64 y (/.f64 z y)) (fma.f64 5/24 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))))
(fma.f64 1/2 (*.f64 (/.f64 y z) y) (fma.f64 61/720 (/.f64 (pow.f64 y 6) z) (fma.f64 5/24 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
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(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (cos.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (cos.f64 y))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (cos.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (.f64 (cos.f64 y) z))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) z))) 1) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 1 (cbrt.f64 z)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) -1) (/.f64 -1 z))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (cos.f64 y)) (/.f64 1 (cbrt.f64 z)))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (cos.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (cos.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) z))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(.f64 (sqrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z))) (/.f64 1 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 (cos.f64 y) z)))))
(.f64 (sqrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z))) (/.f64 1 (.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 -1))))
(/.f64 (sqrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z))) (.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 -1)))
(.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(.f64 (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) -1))
(.f64 (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z))) (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (.f64 (cos.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z)))) (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z))) (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) z))))) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (.f64 (cos.f64 y) z)))) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) z))) 2))) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1)
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(pow.f64 (*.f64 (cos.f64 y) z) -1)
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) 2)
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(neg.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (cos.f64 y) z)))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(exp.f64 (neg.f64 (log.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 (cos.f64 y) z))
	0.1b	(*.f64 (cos.f64 y) z)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)

Compiler

Compiled 24 to 9 computations (62.5% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1794×	`distribute-rgt-in`
1794×	`distribute-lft-in`
838×	`fma-def`
816×	`unswap-sqr`
612×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1657
1	365	1559
2	1298	1465
3	4006	1451

Stop Event

1×	node limit

Counts

77 → 93

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

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

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)
	0.1b	(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.3b	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)

Compiler

Compiled 46 to 15 computations (67.4% saved)

series114.0ms (1.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)
15.0ms	y	@	-inf	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)
14.0ms	y	@	inf	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)
6.0ms	z	@	-inf	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)
5.0ms	x	@	inf	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`unswap-sqr`
758×	`swap-sqr`
520×	`sqr-pow`
482×	`pow-sqr`
322×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	309	52
2	3314	52

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

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simplify219.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1602×	`associate-r`
1208×	`associate-/r*`
1206×	`associate-l`
1196×	`associate-/l*`
762×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	777	22878
1	2769	22870

Stop Event

1×	node limit

Counts

156 → 283

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (sqrt.f64 (.f64 (sin.f64 y) x))) (.f64 -1/4 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (sqrt.f64 (.f64 (sin.f64 y) x)))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (cos.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 y) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (sqrt.f64 (.f64 (sin.f64 y) x))) (.f64 -1/4 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))))) (.f64 (sin.f64 y) x))) (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 -1/48 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (sqrt.f64 (.f64 (sin.f64 y) x))))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (sqrt.f64 (.f64 (sin.f64 y) x))) (.f64 -1/4 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (cos.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (.f64 -1/2 (.f64 (.f64 (cos.f64 y) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (sqrt.f64 (.f64 (sin.f64 y) x))) (.f64 -1/4 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))))) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (sqrt.f64 (.f64 (sin.f64 y) x))) (.f64 -1/4 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (sqrt.f64 (.f64 (sin.f64 y) x)))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (*.f64 (sin.f64 y) x))))
(/.f64 1 (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))) 2))
(+.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))) 2)) (/.f64 (.f64 (sin.f64 y) x) (.f64 (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))) 2) (*.f64 z (cos.f64 y)))))
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z
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(*.f64 (cos.f64 y) z)
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (+.f64 (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 x (sin.f64 y)))) (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))
(/.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)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (.f64 1 (-.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 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 1) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)) 1) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) 1))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))) 1)
(.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2) 1)
(.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))
(.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1)) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))
(.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1/2))
(.f64 (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/8) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4))) (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/8) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) -1/4) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4))) (.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) -1/4) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/8)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/8)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) -1/4) (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/8)) (.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) -1/4) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/8)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) -1/4)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1/4)))
(.f64 (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/8) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) -1/4)) (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/8) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1/4)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1)))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 2) -1/8) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2) -1/8))
(.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 3) 1/6))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) 1))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1))
(log.f64 (exp.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))
(exp.f64 (.f64 -1/2 (log.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))

Outputs
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (sqrt.f64 (.f64 (sin.f64 y) x))) (.f64 -1/4 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (sqrt.f64 (.f64 (sin.f64 y) x)))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (fma.f64 (fma.f64 -2 (.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) 3/8) (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 -1/4 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3))))))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (.f64 z z) (*.f64 (sin.f64 y) x)))
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(.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) -1/4) (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) -1/4)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) -1/4)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1/4)))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) -1/4) (.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) -1/4))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) -1/4) (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) -1/4))))
(.f64 (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/8) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) -1/4)) (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/8) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1/4)))
(.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) -1/4) (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) -1/4)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/2)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/2))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/4))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/4)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1)))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/2)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/4))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/4)) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)) 3/2))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/2)) 3)
(.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 2) -1/8) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2) -1/8))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2) -1/4)
(.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 3) 1/6))
(.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/2) 3) 1/6))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)))) (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) -1/2))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2))) 3) -1) (+.f64 (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)))) 1) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2))) 3)) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2))) (+.f64 1 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)) (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) -1/2)))))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1))
(sqrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(log.f64 (exp.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 3))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/2)
(exp.f64 (.f64 -1/2 (log.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))
(pow.f64 (exp.f64 -1/2) (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/2)

eval894.0ms (9.6%)

Compiler: Compiled 37200 to 18284 computations (50.8% saved)

prune231.0ms (2.5%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	1029	9	1038
Fresh	7	8	15
Picked	1	0	1
Done	1	8	9
Total	1038	25	1063

Error

Counts

1063 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	52.3b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y))) -2)
	23.1b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
	57.0b	(/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
	35.3b	(/.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))))))))
	41.0b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
✓	22.4b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	41.0b	(/.f64 1 (/.f64 (/.f64 1 x) (sin.f64 y)))
✓	0.2b	(/.f64 1 (/.f64 1 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
	15.9b	(/.f64 1 (/.f64 1 (+.f64 z (*.f64 (sin.f64 y) x))))
✓	37.3b	(/.f64 1 (/.f64 1 z))
	38.1b	(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
	22.4b	(/.f64 1 (*.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 z)))
	45.5b	(-.f64 (+.f64 1 z) 1)
✓	16.2b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	15.8b	(+.f64 (*.f64 (sin.f64 y) x) z)
✓	30.3b	(+.f64 (*.f64 y x) z)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	22.4b	(*.f64 (pow.f64 (/.f64 1 (cos.f64 y)) -1) z)
	23.0b	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
	41.8b	(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
	40.9b	(*.f64 (sin.f64 y) x)
✓	22.3b	(*.f64 (cos.f64 y) z)
	47.2b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
	37.2b	z

Compiler

Compiled 318 to 222 computations (30.2% saved)

regimes164.0ms (1.8%)

Counts

53 → 1

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	x
42.0ms	z
25.0ms	y
25.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 825 to 302 computations (63.4% saved)

regimes59.0ms (0.6%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	z
13.0ms	y
12.0ms	x
11.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 200 to 104 computations (48% saved)

regimes162.0ms (1.7%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

103.0ms	y
30.0ms	z
26.0ms	x

Results

Error	Segments	Branch
7.5b	3	`x`
10.6b	6	`y`
9.0b	3	`z`

Compiler

Compiled 137 to 78 computations (43.1% saved)

bsearch109.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	3.4006397282430526e-49	2.8937931173600155e-46
77.0ms	-1.0744393164035158e-133	-1.3305829709843294e-140

Results

67.0ms	61×	body	1024	valid
29.0ms	181×	body	256	valid
9.0ms	29×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

regimes96.0ms (1%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	y
32.0ms	x
27.0ms	z

Results

Error	Segments	Branch
15.0b	3	`x`
12.0b	6	`y`
15.0b	5	`z`

Compiler

Compiled 65 to 41 computations (36.9% saved)

bsearch212.0ms (2.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
67.0ms	2.0688486790625063e+231	1.5090635301648212e+239
13.0ms	1.1644662311079836e-13	4.633059104268117e-13
18.0ms	-0.10782420640378673	-0.006892281453412102
11.0ms	-6.891587756164335e+47	-3.950159402528471e+47
102.0ms	-5.792386243138572e+177	-1.5550952536059737e+174

Results

166.0ms	272×	body	1024	valid
40.0ms	240×	body	256	valid

Compiler

Compiled 541 to 397 computations (26.6% saved)

regimes73.0ms (0.8%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	y
21.0ms	z
19.0ms	x

Results

Error	Segments	Branch
19.4b	3	`x`
14.5b	3	`y`
18.3b	3	`z`

Compiler

Compiled 61 to 39 computations (36.1% saved)

bsearch59.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.1644662311079836e-13	4.633059104268117e-13
36.0ms	-0.10782420640378673	-0.006892281453412102

Results

57.0ms

176×

body

256

valid

Compiler

Compiled 205 to 145 computations (29.3% saved)

regimes17.0ms (0.2%)

Accuracy

Total -16.2b remaining (-53.5%)

Threshold costs -16.2b (-53.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
5.0ms	z
5.0ms	x

Results

Error	Segments	Branch
30.3b	1	`x`
30.3b	1	`y`
30.3b	1	`z`

Compiler

Compiled 57 to 37 computations (35.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	279
1	63	279

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -671300808259951/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 1892330240919387/205688069665150755269371147819668813122841983204197482918576128) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -450000000000000003352041225933443951148897722362419242561839143590687933610517272118673944368258176283809521171253090827676445224764397932390756158502307476693442503812197646336) (.f64 (cos.f64 y) z) (if (<=.f64 y -679999999999999964911462538966468844519948288000) (.f64 (sin.f64 y) x) (if (<=.f64 y -4150517416584649/576460752303423488) (.f64 (cos.f64 y) z) (if (<=.f64 y 4456584141427369/9903520314283042199192993792) (+.f64 (.f64 y x) z) (if (<=.f64 y 4200000000000000291073617592167745876312847934514011129242422538996295031764355890434553731035472059531777210246775006765987958916798452501690195630869952371250925690567080429988001482765576850862064528907126853598896138331579566803386368) (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))))
(if (<=.f64 y -1152921504606847/144115188075855872) (.f64 (cos.f64 y) z) (if (<=.f64 y 4456584141427369/9903520314283042199192993792) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
z

Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(if (<=.f64 x -671300808259951/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 1892330240919387/205688069665150755269371147819668813122841983204197482918576128) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (or (<=.f64 x -671300808259951/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (not (<=.f64 x 1892330240919387/205688069665150755269371147819668813122841983204197482918576128))) (+.f64 z (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))
(if (<=.f64 y -450000000000000003352041225933443951148897722362419242561839143590687933610517272118673944368258176283809521171253090827676445224764397932390756158502307476693442503812197646336) (.f64 (cos.f64 y) z) (if (<=.f64 y -679999999999999964911462538966468844519948288000) (.f64 (sin.f64 y) x) (if (<=.f64 y -4150517416584649/576460752303423488) (.f64 (cos.f64 y) z) (if (<=.f64 y 4456584141427369/9903520314283042199192993792) (+.f64 (.f64 y x) z) (if (<=.f64 y 4200000000000000291073617592167745876312847934514011129242422538996295031764355890434553731035472059531777210246775006765987958916798452501690195630869952371250925690567080429988001482765576850862064528907126853598896138331579566803386368) (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))))
(if (<=.f64 y -450000000000000003352041225933443951148897722362419242561839143590687933610517272118673944368258176283809521171253090827676445224764397932390756158502307476693442503812197646336) (.f64 (cos.f64 y) z) (if (<=.f64 y -679999999999999964911462538966468844519948288000) (.f64 (sin.f64 y) x) (if (<=.f64 y -4150517416584649/576460752303423488) (.f64 (cos.f64 y) z) (if (<=.f64 y 4456584141427369/9903520314283042199192993792) (+.f64 z (.f64 y x)) (if (<=.f64 y 4200000000000000291073617592167745876312847934514011129242422538996295031764355890434553731035472059531777210246775006765987958916798452501690195630869952371250925690567080429988001482765576850862064528907126853598896138331579566803386368) (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))))
(if (<=.f64 y -1152921504606847/144115188075855872) (.f64 (cos.f64 y) z) (if (<=.f64 y 4456584141427369/9903520314283042199192993792) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -1152921504606847/144115188075855872) (not (<=.f64 y 4456584141427369/9903520314283042199192993792))) (.f64 (cos.f64 y) z) (+.f64 z (.f64 y x)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 y x))
z

Compiler

Compiled 126 to 76 computations (39.7% saved)

soundness88.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

648×	`associate-+r+`
634×	`distribute-lft-neg-in`
626×	`+-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	4092	7540

Stop Event

1×	node limit

Compiler

Compiled 37 to 12 computations (67.6% saved)

end47.0ms (0.5%)

Compiler: Compiled 108 to 41 computations (62% saved)