Details

analyze223.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.9s (28.7%)

Results

1.4s	5177×	body	256	valid
1.1s	2025×	body	1024	valid
420.0ms	1049×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess6.0ms (0.1%)

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)

simplify26.0ms (0.3%)

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)

localize10.0ms (0.1%)

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 z (cos.f64 y))
✓	0.1b	(*.f64 x (sin.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series8.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	226	45
2	2919	45

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

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

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

simplify149.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

186 → 197

Calls

Call 1

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

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

eval91.0ms (0.9%)

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

prune90.0ms (0.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	183	14	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	15	198

Error

0.0b

Counts

198 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	29.6b	(/.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)))))
	46.3b	(/.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)))))
	47.5b	(/.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 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
▶	0.3b	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
▶	0.6b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
	19.8b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
▶	30.2b	(+.f64 (*.f64 y x) z)
	32.4b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	29.2b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	15.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	29.4b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
	55.7b	(.f64 (/.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) (sqrt.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)))) (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)))
	42.1b	(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))

Compiler

Compiled 740 to 396 computations (46.5% 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 x (sin.f64 y)))
	0.1b	(*.f64 x (sin.f64 y))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

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

Outputs

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

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

85 → 86

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
✓	0.3b	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series10.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
1.0ms	x	@	inf	(/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
1.0ms	x	@	0	(/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
1.0ms	y	@	-inf	(/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
0.0ms	z	@	inf	(/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))

rewrite113.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

Outputs

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

simplify168.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

309 → 259

Calls

Call 1

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

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

localize17.0ms (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)
✓	7.9b	(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	@	-inf	(cbrt.f64 (*.f64 x (sin.f64 y)))

rewrite59.0ms (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))))))))

simplify56.0ms (0.6%)

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)

localize68.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
✓	0.6b	(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
✓	2.1b	(-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))
✓	28.1b	(cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))

Compiler

Compiled 164 to 42 computations (74.4% saved)

series37.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))
4.0ms	x	@	0	(cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
3.0ms	x	@	0	(cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))
3.0ms	z	@	0	(cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))
2.0ms	y	@	-inf	(cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))

rewrite120.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`associate-*r/`
1054×	`associate-*l/`
444×	`associate-+l+`
432×	`add-sqr-sqrt`
424×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	140
1	422	140
2	5520	140

Stop Event

1×	node limit

Counts

4 → 195

Calls

Call 1

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

Outputs
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(pow.f64 (.f64 (cos.f64 y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (cos.f64 y) z) 4)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (cos.f64 y) z) 4)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (cos.f64 y) z) 4))) 1) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6))) 1) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (+.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) (fma.f64 (.f64 (cos.f64 y) (neg.f64 z)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (cos.f64 y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (+.f64 (.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) 1) (fma.f64 (.f64 (cos.f64 y) (neg.f64 z)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (cos.f64 y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (+.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) 1 (pow.f64 (.f64 (cos.f64 y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify247.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1326×	`associate-l`
964×	`*-commutative`
644×	`associate-/l*`
600×	`+-commutative`
576×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	847	26973
1	2461	24231

Stop Event

1×	node limit

Counts

291 → 395

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) (pow.f64 y 2)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3))) (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) (pow.f64 y 2)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3) (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) 2) (pow.f64 z 2))) (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2)))))) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) (pow.f64 y 2)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (+.f64 (.f64 -1/360 (pow.f64 z 2)) (+.f64 (.f64 -2/3 (/.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) (-.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) 2) (pow.f64 z 2))) (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2)))))) (pow.f64 z 2))) (+.f64 (.f64 -1/24 (pow.f64 z 2)) (.f64 1/27 (/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) 3) (.f64 (pow.f64 (cbrt.f64 -1) 6) (pow.f64 z 4)))))))) (pow.f64 y 6)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3) (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 z 2))) 2) (pow.f64 z 2))) (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2)))))) (pow.f64 (cbrt.f64 -1) 2)))))))
(pow.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3)
(pow.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3)
(pow.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3)
(pow.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3)
(pow.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3)
(pow.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3)
(pow.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3)
(pow.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3)
(.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (cbrt.f64 -1))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (cos.f64 y) z) 4)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (cos.f64 y) z) 4)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (cos.f64 y) z) 4)) 1) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6)) 1) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4))))
(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) 2) 1) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (cos.f64 y) z) 4)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) 2) 1) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)))) 1) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) 3)) 1) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)) (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2))) (.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (cos.f64 y) z) 4))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (cos.f64 y) z) 4))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (-.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 (.f64 (sin.f64 y) x) (cos.f64 y)) z)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (cos.f64 y) z) 4))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (sin.f64 y) x) 4)) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (pow.f64 (.f64 (cos.f64 y) z) 4))) (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (*.f64 (cos.f64 y) z) 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) 3) (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (sin.f64 y) x) 4)) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (pow.f64 (.f64 (cos.f64 y) z) 4)) (.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 (cos.f64 y) z) 4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (sin.f64 y) x) 6)) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 6) (pow.f64 (.f64 (cos.f64 y) z) 6))) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4))))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (cos.f64 y) z) 6)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) 3) (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 6) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 y) x) (cos.f64 y)) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 4))))) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (.f64 (sin.f64 y) x) 6)) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 6) (pow.f64 (.f64 (cos.f64 y) z) 6)) (.f64 (pow.f64 (.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 (cos.f64 y) z) 6)))))
(pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) 3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) 2)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
(exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
(fma.f64 (.f64 (sin.f64 y) x) (.f64 (sin.f64 y) x) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(fma.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2) (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))) 1)
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 1)
(.f64 1 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) 1/6) (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 2) 1/3) (cbrt.f64 (cbrt.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)) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 1)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))) 1)
(.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) 1)
(.f64 1 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(.f64 (pow.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/6) (pow.f64 (-.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) z) (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) z) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) z) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3))) 1) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) z) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))))
(pow.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) 1)
(pow.f64 (pow.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))

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

eval527.0ms (5.2%)

Compiler: Compiled 38407 to 15435 computations (59.8% saved)

prune376.0ms (3.7%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	888	21	909
Fresh	6	3	9
Picked	1	0	1
Done	2	3	5
Total	897	27	924

Error

0.0b

Counts

924 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
▶	30.8b	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
	29.3b	(/.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) -2)))
▶	0.3b	(/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1))
	24.8b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	1.5b	(/.f64 1 (/.f64 1 (/.f64 (/.f64 -1 (.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))) (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))
	33.8b	(/.f64 1 (/.f64 1 (/.f64 (/.f64 -1 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))
	1.8b	(/.f64 1 (/.f64 1 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 2))) 1) (.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))))))
	38.2b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
▶	39.9b	(/.f64 1 (/.f64 1 z))
	43.4b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 x (/.f64 (*.f64 z z) y))))
	29.6b	(/.f64 1 (.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))))
	33.8b	(/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
	16.4b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x))) (.f64 z (cos.f64 y)))
	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x)) (*.f64 z (cos.f64 y)))
	30.9b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
▶	19.8b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
✓	30.2b	(+.f64 (*.f64 y x) z)
	32.4b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	15.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
	31.6b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) 3))
▶	33.8b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
	38.1b	(*.f64 (sin.f64 y) x)
	24.7b	(*.f64 (cos.f64 y) z)
	39.8b	z

Compiler

Compiled 963 to 583 computations (39.5% saved)

localize65.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1)
✓	0.3b	(/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1))

Compiler

Compiled 46 to 15 computations (67.4% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`unswap-sqr`
732×	`swap-sqr`
494×	`sqr-pow`
470×	`pow-sqr`
424×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	299	52
2	3170	52

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

simplify170.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1362×	`associate-/l/`
1338×	`associate-/r/`
744×	`distribute-lft-in`
552×	`times-frac`
550×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	391	10205
1	1123	9211
2	4693	9209

Stop Event

1×	node limit

Counts

199 → 230

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.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))

rewrite68.0ms (0.7%)

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))))))

simplify45.0ms (0.4%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 15 computations (67.4% saved)

series152.0ms (1.5%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
94.0ms	y	@	inf	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
14.0ms	y	@	-inf	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
12.0ms	x	@	inf	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
5.0ms	x	@	-inf	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
5.0ms	x	@	0	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`unswap-sqr`
758×	`swap-sqr`
520×	`sqr-pow`
482×	`pow-sqr`
324×	`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 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.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 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.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 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1)) -2) (pow.f64 (cbrt.f64 (pow.f64 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simplify225.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1646×	`associate-r`
1210×	`associate-l`
1210×	`associate-/r*`
1192×	`associate-/l*`
772×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	780	23142
1	2801	23134

Stop Event

1×	node limit

Counts

156 → 281

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	0.0b	(sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.3b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))

Compiler

Compiled 74 to 11 computations (85.1% saved)

series39.0ms (0.4%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	(sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
5.0ms	y	@	0	(sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
2.0ms	x	@	-inf	(sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
1.0ms	x	@	0	(sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
1.0ms	z	@	inf	(sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))

rewrite111.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`*-commutative`
794×	`unswap-sqr`
612×	`swap-sqr`
450×	`sqr-pow`
440×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	297	50
2	3672	50

Stop Event

1×	node limit

Counts

2 → 181

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))

(sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (*.f64 x (sin.f64 y))) (*.f64 z (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 (sin.f64 y))) (+.f64 (*.f64 z (neg.f64 (cos.f64 y))) (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 (cos.f64 y))) (*.f64 x (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 0) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (-.f64 0 (*.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 0 (*.f64 x (sin.f64 y))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 x (neg.f64 (sin.f64 y)))) (*.f64 -1 (*.f64 z (neg.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (neg.f64 (sin.f64 y))) 1) (*.f64 z (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (neg.f64 (sin.f64 y))) -1) (*.f64 (*.f64 z (neg.f64 (cos.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x (neg.f64 (sin.f64 y)))) (neg.f64 (*.f64 z (neg.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (-.f64 1 (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (*.f64 x (sin.f64 y))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (-.f64 0 (*.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 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simplify153.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1216×	`times-frac`
1108×	`associate-+r+`
1096×	`associate-r`
936×	`associate-l`
574×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	11971
1	1370	9895
2	7231	9895

Stop Event

1×	node limit

Counts

237 → 288

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (cos.f64 y))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(*.f64 z 1)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))))
(.f64 -1 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x))))
(.f64 1 (+.f64 z (.f64 y x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) z)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x))) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) z)))))
(fma.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) z) (fma.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x)) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (*.f64 y y))))))
(fma.f64 1 z (fma.f64 1 (.f64 y x) (.f64 (.f64 (.f64 z y) y) -1/2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) z)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 3) x))) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) z))))))
(fma.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) z) (fma.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x)) (fma.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x (pow.f64 y 3))) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (*.f64 y y)))))))
(fma.f64 1 z (fma.f64 1 (.f64 y x) (fma.f64 -1/2 (.f64 (.f64 z y) y) (.f64 (*.f64 x (pow.f64 y 3)) -1/6))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 y) z))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 y) z))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 y) z))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 y) z))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 y) z))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 y) z))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 y) z))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 y) z))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 y) z))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sin.f64 y) x))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (cos.f64 y))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (cos.f64 y)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sin.f64 y) x)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (sin.f64 y) x))) (sqrt.f64 (/.f64 1 (.f64 z (cos.f64 y))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) (.f64 1/2 (.f64 x (*.f64 (sqrt.f64 -1) (sin.f64 y))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (cos.f64 y)))) (+.f64 (.f64 -1/8 (.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sin.f64 y) x)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (cos.f64 y))) (fma.f64 -1/8 (.f64 (sqrt.f64 -1) (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (sin.f64 y) x))) (sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (cos.f64 y))) (fma.f64 -1/8 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))) (pow.f64 (.f64 (sin.f64 y) x) 2))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) (.f64 1/2 (.f64 x (*.f64 (sqrt.f64 -1) (sin.f64 y)))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (cos.f64 y)))) (+.f64 (.f64 1/16 (.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sin.f64 y) x)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (cos.f64 y))) (fma.f64 1/16 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 (.f64 (sin.f64 y) x) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))))) (fma.f64 -1/8 (.f64 (sqrt.f64 -1) (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (sin.f64 y) x))) (sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (cos.f64 y))) (fma.f64 1/16 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)))) (pow.f64 (.f64 (sin.f64 y) x) 3))) (fma.f64 -1/8 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))) (pow.f64 (.f64 (sin.f64 y) x) 2))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) (.f64 1/2 (.f64 x (*.f64 (sqrt.f64 -1) (sin.f64 y))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 y x)) (sqrt.f64 (/.f64 1 z)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 z)))
(fma.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 y x)) (sqrt.f64 (/.f64 1 z))) (.f64 (sqrt.f64 -1) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 z) (.f64 (sqrt.f64 -1) (.f64 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z))) 1/2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 y x)) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 z)) (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2)))) (sqrt.f64 (/.f64 1 z))))))
(fma.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 y x)) (sqrt.f64 (/.f64 1 z))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 z) (.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 y y)) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 z)))) 2)))) (sqrt.f64 (/.f64 1 z)))))
(fma.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (fma.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 y y))) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2))) (sqrt.f64 (/.f64 1 z)) (*.f64 (sqrt.f64 -1) (sqrt.f64 z))))
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(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/4) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
(/.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (/.f64 1 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) (/.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 1))
(/.f64 -1 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
(neg.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/4)) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4)))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (/.f64 1 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) (/.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 1))
(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2) 0) (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2))
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 2) (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (+.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 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (.f64 (cos.f64 y) (fma.f64 z (cos.f64 y) (.f64 x (neg.f64 (sin.f64 y)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2))))
(/.f64 (+.f64 0 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2)) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))
(/.f64 (+.f64 0 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3)) (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (+.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2) 0)))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 1 (+.f64 0 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))
(/.f64 (.f64 -1 (+.f64 0 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2)) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2) (neg.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(/.f64 (.f64 (sqrt.f64 -1) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (/.f64 (sqrt.f64 -1) 1))
(/.f64 (.f64 (sqrt.f64 -1) (+.f64 0 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (sqrt.f64 -1) (/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2)))
(.f64 (/.f64 (sqrt.f64 -1) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3/2))
(/.f64 (.f64 (pow.f64 1 1/2) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 1 1/2) (+.f64 0 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 -1 1/2) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (/.f64 (sqrt.f64 -1) 1))
(/.f64 (.f64 (pow.f64 -1 1/2) (+.f64 0 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (sqrt.f64 -1) (/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2)))
(.f64 (/.f64 (sqrt.f64 -1) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3/2))
(/.f64 (.f64 (+.f64 0 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2)) 1) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))
(/.f64 (.f64 (+.f64 0 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2)) -1) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2)) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2) (neg.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/4)) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) 2))))
(/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) (fabs.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))))
(/.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
(/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (sqrt.f64 -1))
(/.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 1 1/2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1/2))
(/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) 2))))
(/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) (fabs.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))))
(/.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 -1 1/2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
(/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (sqrt.f64 -1))
(/.f64 (neg.f64 (+.f64 0 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2)) (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2) (neg.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/2)
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1)
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4) 2)
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3/2))
(neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(neg.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(fabs.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))

eval664.0ms (6.6%)

Compiler: Compiled 57157 to 22657 computations (60.4% saved)

prune392.0ms (3.9%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1436	11	1447
Fresh	6	13	19
Picked	0	1	1
Done	2	5	7
Total	1444	30	1474

Error

Counts

1474 → 30

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	31.0b	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4) 4)
▶	43.2b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2)
	51.2b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y))) -2)
	39.8b	(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 3/2) (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
	24.8b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	1.3b	(/.f64 1 (/.f64 (.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))
	33.8b	(/.f64 1 (/.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (/.f64 -1 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))
	1.8b	(/.f64 1 (/.f64 1 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 2))) 1) (.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))))))
	38.2b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
✓	39.9b	(/.f64 1 (/.f64 1 z))
	43.4b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 x (/.f64 (*.f64 z z) y))))
	40.4b	(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
	33.8b	(/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
▶	47.7b	(-.f64 (+.f64 1 z) 1)
	16.4b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
▶	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x)) (*.f64 z (cos.f64 y)))
▶	30.9b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	42.0b	(+.f64 (.f64 y x) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
✓	19.8b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
	42.9b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	30.2b	(+.f64 (*.f64 y x) z)
	32.4b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	15.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	33.8b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
	41.4b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) z)))))
	38.1b	(*.f64 (sin.f64 y) x)
	24.7b	(*.f64 (cos.f64 y) z)
	39.8b	z

Compiler

Compiled 907 to 568 computations (37.4% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 (sin.f64 y)) x)
✓	0.4b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x))
✓	0.5b	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
✓	0.6b	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 55 to 18 computations (67.3% saved)

series11.0ms (0.1%)

Counts

4 → 60

Calls

18 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	218	50
2	2497	50

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1660×	`associate-+r+`
1556×	`associate-+l+`
528×	`*-commutative`
486×	`distribute-lft-in`
484×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1807
1	339	1795
2	1192	1769
3	3689	1769

Stop Event

1×	node limit

Counts

127 → 90

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(-.f64 (+.f64 1 z) 1)

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	@	0	(-.f64 (+.f64 1 z) 1)
0.0ms	z	@	-inf	(-.f64 (+.f64 1 z) 1)
0.0ms	z	@	inf	(-.f64 (+.f64 1 z) 1)

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1228×	`add-cube-cbrt`
1220×	`add-cbrt-cube`
1212×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	135	1
2	1882	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 (+.f64 1 z) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 z -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 z -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 z))))) (#(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 (*.f64 (+.f64 z 2) z) (/.f64 1 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) 1) (-.f64 (sqrt.f64 (+.f64 1 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 z 2) (*.f64 (+.f64 z 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2)) (+.f64 (pow.f64 (+.f64 1 z) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z 2) z) (+.f64 z 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z 2) z) (-.f64 (+.f64 1 z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1) (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1) (+.f64 (pow.f64 (+.f64 1 z) 2) (-.f64 1 (*.f64 (+.f64 1 z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 z -1) (+.f64 z -1))) (-.f64 1 (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 z -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 z -1) (+.f64 z -1)) (+.f64 z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 z 2) z)) (neg.f64 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2) (cbrt.f64 (+.f64 1 z)) -1)))))

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1410×	`distribute-lft-in`
1220×	`fma-def`
1198×	`distribute-rgt-in`
640×	`associate-+r+`
542×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	421
1	228	379
2	1277	363

Stop Event

1×	node limit

Counts

49 → 45

Calls

Call 1

Inputs
z
z
z
z
z
z
z
z
z
z
z
z
(+.f64 1 (+.f64 z -1))
(+.f64 1 (*.f64 (+.f64 z -1) 1))
(+.f64 z 0)
(+.f64 (+.f64 1 z) -1)
(+.f64 (+.f64 z -1) 1)
(+.f64 -1 (+.f64 1 z))
(*.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 (.f64 (+.f64 z 2) z) (/.f64 1 (+.f64 z 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) 1) (-.f64 (sqrt.f64 (+.f64 1 z)) 1))
(/.f64 1 (/.f64 (+.f64 z 2) (*.f64 (+.f64 z 2) z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2)) (+.f64 (pow.f64 (+.f64 1 z) 3) -1)))
(/.f64 (*.f64 (+.f64 z 2) z) (+.f64 z 2))
(/.f64 (*.f64 (+.f64 z 2) z) (-.f64 (+.f64 1 z) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1) (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1) (+.f64 (pow.f64 (+.f64 1 z) 2) (-.f64 1 (*.f64 (+.f64 1 z) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 z -1) (+.f64 z -1))) (-.f64 1 (+.f64 z -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 z -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 z -1) (+.f64 z -1)) (+.f64 z -1))))
(/.f64 (neg.f64 (*.f64 (+.f64 z 2) z)) (neg.f64 (+.f64 z 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2))))
(pow.f64 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))
(fma.f64 1 (+.f64 1 z) -1)
(fma.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 z)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2) (cbrt.f64 (+.f64 1 z)) -1)

Outputs
z
z
z
z
z
z
z
z
z
z
z
z
(+.f64 1 (+.f64 z -1))
z
(+.f64 1 (*.f64 (+.f64 z -1) 1))
z
(+.f64 z 0)
z
(+.f64 (+.f64 1 z) -1)
z
(+.f64 (+.f64 z -1) 1)
z
(+.f64 -1 (+.f64 1 z))
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 (.f64 (+.f64 z 2) z) (/.f64 1 (+.f64 z 2)))
z
(*.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (/.f64 1 (+.f64 (+.f64 z 2) (pow.f64 (+.f64 z 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (+.f64 (+.f64 z 2) (pow.f64 (+.f64 z 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (+.f64 (*.f64 z (+.f64 z 2)) (+.f64 z 3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) 1) (-.f64 (sqrt.f64 (+.f64 1 z)) 1))
z
(/.f64 1 (/.f64 (+.f64 z 2) (*.f64 (+.f64 z 2) z)))
z
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2)) (+.f64 (pow.f64 (+.f64 1 z) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (/.f64 1 (+.f64 (+.f64 z 2) (pow.f64 (+.f64 z 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (+.f64 (+.f64 z 2) (pow.f64 (+.f64 z 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (+.f64 (*.f64 z (+.f64 z 2)) (+.f64 z 3)))
(/.f64 (*.f64 (+.f64 z 2) z) (+.f64 z 2))
z
(/.f64 (*.f64 (+.f64 z 2) z) (-.f64 (+.f64 1 z) -1))
z
(/.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1) (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (/.f64 1 (+.f64 (+.f64 z 2) (pow.f64 (+.f64 z 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (+.f64 (+.f64 z 2) (pow.f64 (+.f64 z 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (+.f64 (*.f64 z (+.f64 z 2)) (+.f64 z 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1) (+.f64 (pow.f64 (+.f64 1 z) 2) (-.f64 1 (*.f64 (+.f64 1 z) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (/.f64 1 (+.f64 (+.f64 z 2) (pow.f64 (+.f64 z 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (+.f64 (+.f64 z 2) (pow.f64 (+.f64 z 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (+.f64 (*.f64 z (+.f64 z 2)) (+.f64 z 3)))
(/.f64 (-.f64 1 (*.f64 (+.f64 z -1) (+.f64 z -1))) (-.f64 1 (+.f64 z -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 z -1) (-.f64 1 z))) (-.f64 2 z))
(/.f64 (+.f64 z (*.f64 z (-.f64 1 z))) (-.f64 2 z))
(/.f64 (+.f64 1 (pow.f64 (+.f64 z -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 z -1) (+.f64 z -1)) (+.f64 z -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 z -1) 3)) (+.f64 (*.f64 (+.f64 z -1) (+.f64 z -1)) (-.f64 2 z)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 z -1) 3)) (fma.f64 (+.f64 z -1) (+.f64 z -2) 1))
(/.f64 (neg.f64 (*.f64 (+.f64 z 2) z)) (neg.f64 (+.f64 z 2)))
z
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 z) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 z) 2) (+.f64 z 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (/.f64 1 (+.f64 (+.f64 z 2) (pow.f64 (+.f64 z 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (+.f64 (+.f64 z 2) (pow.f64 (+.f64 z 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 z 1) 3)) (+.f64 (*.f64 z (+.f64 z 2)) (+.f64 z 3)))
(pow.f64 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
(fma.f64 1 (+.f64 1 z) -1)
z
(fma.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 z)) -1)
z
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2) (cbrt.f64 (+.f64 1 z)) -1)
z

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))
✓	0.2b	(/.f64 (/.f64 1 z) (cos.f64 y))
✓	0.3b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2)

Compiler

Compiled 34 to 21 computations (38.2% saved)

series11.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2)
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2)
1.0ms	z	@	0	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2)

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`associate-*r/`
1010×	`*-commutative`
994×	`associate-/r*`
754×	`associate-*l/`
634×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	249	49
2	3018	49

Stop Event

1×	node limit

Counts

3 → 287

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2)
(/.f64 (/.f64 1 z) (cos.f64 y))
(sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))

Outputs

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

simplify147.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

848×	`distribute-rgt-in`
844×	`distribute-lft-in`
780×	`associate-/l*`
658×	`*-commutative`
612×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	639	9407
1	1642	9021
2	5618	9009

Stop Event

1×	node limit

Counts

335 → 416

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 1/16 z) (.f64 -2 (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/16 (sqrt.f64 z)) (.f64 1/2 (.f64 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3))))))))) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/16 z) (.f64 -2 (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/16 (sqrt.f64 z)) (.f64 1/2 (.f64 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3))))))))) (+.f64 z (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 -1/8 (.f64 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 61/720 (/.f64 1 z)) (.f64 1/4 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)))) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1/4 (+.f64 (.f64 -1/16 (sqrt.f64 z)) (.f64 1/2 (.f64 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3)))))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/16 (sqrt.f64 z)) (.f64 1/2 (.f64 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3)))))))) (pow.f64 y 6)))))
(*.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)))
(sqrt.f64 (/.f64 1 z))
(+.f64 (sqrt.f64 (/.f64 1 z)) (.f64 1/4 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 z)))))
(+.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2))) (sqrt.f64 z))) (.f64 1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 z))))))
(+.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 61/720 (/.f64 1 z)) (.f64 1/4 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)))) (pow.f64 y 6)) (sqrt.f64 z))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2))) (sqrt.f64 z))) (.f64 1/4 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 z)))))))
(sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))
(sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))
(sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))
(sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))
(sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))
(sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))
(sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))
(sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(.f64 1 (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 z (/.f64 (cos.f64 y) 1))
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 z (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (cos.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 (cos.f64 y) (pow.f64 z -1/2)))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 z (cbrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 z) (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 -1 (.f64 z (neg.f64 (cos.f64 y))))
(.f64 (.f64 z (cos.f64 y)) 1)
(*.f64 (neg.f64 z) (/.f64 (cos.f64 y) -1))
(.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 (sqrt.f64 (cos.f64 y))) (/.f64 (sqrt.f64 (cos.f64 y)) 1))
(.f64 (.f64 z (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 z (cbrt.f64 (cos.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(*.f64 (/.f64 (cos.f64 y) 1) z)
(*.f64 (/.f64 (cos.f64 y) (pow.f64 z -1/2)) (sqrt.f64 z))
(*.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z))
(.f64 (.f64 (/.f64 (cos.f64 y) 1) (cbrt.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 (cos.f64 y) -1) (neg.f64 z))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (.f64 (/.f64 (cos.f64 y) 1) (cbrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (.f64 z (sqrt.f64 (cos.f64 y))))
(.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 z (cbrt.f64 (cos.f64 y))))
(*.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))) (.f64 (/.f64 (cbrt.f64 (cos.f64 y)) 1) (cbrt.f64 z)))
(.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 y)) 1) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 2) -1))
(*.f64 (pow.f64 (/.f64 1 z) -1) (pow.f64 (/.f64 1 (cos.f64 y)) -1))
(*.f64 (pow.f64 (/.f64 1 (cos.f64 y)) -1) (pow.f64 (/.f64 1 z) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4) -2) (pow.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4) -2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2) (pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))) -2))
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(*.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 (cos.f64 y)) (neg.f64 z)) -1)
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (/.f64 (/.f64 1 z) (cos.f64 y)))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 2) 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 1/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 1/2)))
(pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 3)
(pow.f64 (/.f64 (pow.f64 z -2) (pow.f64 (cos.f64 y) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 3) 1/3)
(pow.f64 (*.f64 z (cos.f64 y)) -1)
(neg.f64 (/.f64 -1 (*.f64 z (cos.f64 y))))
(neg.f64 (*.f64 (/.f64 1 z) (/.f64 -1 (cos.f64 y))))
(neg.f64 (/.f64 (/.f64 -1 z) (cos.f64 y)))
(neg.f64 (.f64 (/.f64 -1 (.f64 z (cos.f64 y))) 1))
(neg.f64 (.f64 1 (/.f64 -1 (.f64 z (cos.f64 y)))))
(sqrt.f64 (/.f64 (pow.f64 z -2) (pow.f64 (cos.f64 y) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 1 z) (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 z) (cos.f64 y))))
(exp.f64 (neg.f64 (log.f64 (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 z) (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))))) 1)
(.f64 1 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))) 1)
(.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 1 1/2))
(*.f64 (pow.f64 z -1/2) (sqrt.f64 (/.f64 1 (cos.f64 y))))
(*.f64 (pow.f64 z -1/2) (/.f64 1 (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 z -1/2) (pow.f64 (/.f64 1 (cos.f64 y)) 1/2))
(*.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4) (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4))
(.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))))
(.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))) (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 y))) (pow.f64 z -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 y))) (pow.f64 z -1/2))
(.f64 (pow.f64 1 1/2) (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/2) (pow.f64 z -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) 2) 1/2))
(/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(/.f64 (pow.f64 z -1/2) (sqrt.f64 (cos.f64 y)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 1 (cbrt.f64 z)) (/.f64 (sqrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 z -1/2))))
(/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))) (cbrt.f64 (.f64 z (cos.f64 y))))
(/.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (neg.f64 z))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 z -2))) (/.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (/.f64 1 (cbrt.f64 z)))))
(/.f64 (sqrt.f64 (pow.f64 z -1/2)) (/.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (pow.f64 z -1/2))))
(/.f64 (sqrt.f64 (/.f64 -1 z)) (sqrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (/.f64 -1 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 z)) 1) (neg.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (*.f64 1 (/.f64 1 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 z))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 -1 z))) (sqrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4) (sqrt.f64 (pow.f64 z -1/2))) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) (cbrt.f64 (pow.f64 z -1/2))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))) (/.f64 1 (cbrt.f64 z))) (cbrt.f64 (cos.f64 y)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))) (cbrt.f64 (/.f64 -1 z))) (cbrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (.f64 z (cos.f64 y))))
(/.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 z -1/2)) (sqrt.f64 (cos.f64 y)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 -1 z))) (sqrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 (pow.f64 1 1/2) (/.f64 -1 (sqrt.f64 z))) (neg.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 -1 z)) 1) (sqrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (cos.f64 y)))) (sqrt.f64 z))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (cos.f64 y)))) (sqrt.f64 (neg.f64 z)))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 1 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (neg.f64 z)))
(/.f64 (*.f64 1 (pow.f64 (/.f64 1 (cos.f64 y)) 1/2)) (sqrt.f64 z))
(/.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (/.f64 1 (cos.f64 y)) 1/2)) (sqrt.f64 (neg.f64 z)))
(/.f64 (*.f64 (sqrt.f64 (pow.f64 z -1/2)) (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4)) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 z)) (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))))) (cbrt.f64 (cos.f64 y)))
(/.f64 (.f64 (cbrt.f64 (/.f64 -1 z)) (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))))) (cbrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 z -1/2)) (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (/.f64 (pow.f64 z -1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2))) (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))))
(/.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (.f64 z (cos.f64 y))))) (sqrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))) -1/2)) (pow.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))) -1/2))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4) -1)) (pow.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4) -1))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -1)) (pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))) -1))
(/.f64 (/.f64 (pow.f64 z -1/2) (sqrt.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
(pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/2)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 3/2) 1/3)
(neg.f64 (/.f64 (pow.f64 z -1/2) (neg.f64 (sqrt.f64 (cos.f64 y)))))
(fabs.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(log.f64 (exp.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(exp.f64 (log.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))

Outputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/16 z) (.f64 -2 (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/16 (sqrt.f64 z)) (.f64 1/2 (.f64 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3))))))))) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 (pow.f64 y 4) (fma.f64 1/16 z (.f64 (.f64 -2 (sqrt.f64 z)) (fma.f64 -1/16 (sqrt.f64 z) (.f64 (.f64 1/2 (-.f64 (/.f64 5/24 z) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2))) (sqrt.f64 (pow.f64 z 3)))))) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 (pow.f64 y 4) (fma.f64 -2 (+.f64 (.f64 z -1/16) (.f64 (sqrt.f64 z) (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (.f64 (sqrt.f64 (pow.f64 z 3)) 1/2)))) (.f64 z 1/16)) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/16 z) (.f64 -2 (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/16 (sqrt.f64 z)) (.f64 1/2 (.f64 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3))))))))) (+.f64 z (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 -1/8 (.f64 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 61/720 (/.f64 1 z)) (.f64 1/4 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)))) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1/4 (+.f64 (.f64 -1/16 (sqrt.f64 z)) (.f64 1/2 (.f64 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3)))))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/16 (sqrt.f64 z)) (.f64 1/2 (.f64 (-.f64 (.f64 5/24 (/.f64 1 z)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3)))))))) (pow.f64 y 6)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 (fma.f64 (pow.f64 y 4) (fma.f64 1/16 z (.f64 (.f64 -2 (sqrt.f64 z)) (fma.f64 -1/16 (sqrt.f64 z) (.f64 (.f64 1/2 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2))) (sqrt.f64 (pow.f64 z 3)))))) z) (.f64 (fma.f64 -2 (.f64 (sqrt.f64 z) (fma.f64 -1/8 (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3))) (fma.f64 1/2 (.f64 (sqrt.f64 (pow.f64 z 3)) (+.f64 (/.f64 61/720 z) (.f64 -1/4 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2))))) (.f64 (fma.f64 -1/16 (sqrt.f64 z) (.f64 (.f64 1/2 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2))) (sqrt.f64 (pow.f64 z 3)))) -1/4)))) (.f64 (.f64 1/2 (sqrt.f64 z)) (fma.f64 -1/16 (sqrt.f64 z) (.f64 (.f64 1/2 (-.f64 (/.f64 5/24 z) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2))) (sqrt.f64 (pow.f64 z 3)))))) (pow.f64 y 6))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 (pow.f64 y 4) (fma.f64 -2 (+.f64 (.f64 z -1/16) (.f64 (sqrt.f64 z) (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (.f64 (sqrt.f64 (pow.f64 z 3)) 1/2)))) (.f64 z 1/16)) (fma.f64 (fma.f64 1/2 (+.f64 (.f64 z -1/16) (.f64 (sqrt.f64 z) (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (.f64 (sqrt.f64 (pow.f64 z 3)) 1/2)))) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3))) -1/8 (+.f64 (.f64 (sqrt.f64 z) 1/64) (.f64 (sqrt.f64 (pow.f64 z 3)) (+.f64 (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) -1/8) (.f64 1/2 (+.f64 (/.f64 61/720 z) (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) -1/4))))))) (.f64 -2 (sqrt.f64 z)))) (pow.f64 y 6) z)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 (pow.f64 y 4) (fma.f64 -2 (+.f64 (.f64 z -1/16) (.f64 (sqrt.f64 z) (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (.f64 (sqrt.f64 (pow.f64 z 3)) 1/2)))) (.f64 z 1/16)) (fma.f64 (.f64 (sqrt.f64 z) (+.f64 (.f64 -2 (fma.f64 (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (sqrt.f64 (pow.f64 z 3))) -1/8 (+.f64 (.f64 (sqrt.f64 (pow.f64 z 3)) (+.f64 (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) -1/8) (.f64 1/2 (+.f64 (/.f64 61/720 z) (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) -1/4))))) (.f64 (sqrt.f64 z) 1/64)))) (.f64 (fma.f64 (sqrt.f64 z) -1/16 (.f64 (-.f64 (/.f64 5/24 z) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 z))) 2)) (*.f64 (sqrt.f64 (pow.f64 z 3)) 1/2))) 1/2))) (pow.f64 y 6) 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))
(fma.f64 1/2 (/.f64 (*.f64 y y) z) (/.f64 1 z))
(fma.f64 1/2 (/.f64 y (/.f64 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))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 y y) z) (/.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)))
(+.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) (+.f64 (fma.f64 1/2 (/.f64 (.f64 y y) z) (/.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))))
(/.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)))
(sqrt.f64 (/.f64 1 z))
(+.f64 (sqrt.f64 (/.f64 1 z)) (.f64 1/4 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 z)))))
(+.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (.f64 1/4 (*.f64 y y)) (sqrt.f64 (/.f64 1 z))))
(.f64 (+.f64 (.f64 (*.f64 y y) 1/4) 1) (sqrt.f64 (/.f64 1 z)))
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(/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4) (sqrt.f64 (pow.f64 z -1/2))) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (pow.f64 (/.f64 1 (*.f64 z (cos.f64 y))) 1/4) (/.f64 (sqrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 z -1/2))))
(.f64 (/.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/4) (sqrt.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (pow.f64 z -1/2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) (cbrt.f64 (pow.f64 z -1/2))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 z (cos.f64 y)))) (/.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 z -1/2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -1/2)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (cbrt.f64 (/.f64 1 (.f64 z (cos.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))) (/.f64 1 (cbrt.f64 z))) (cbrt.f64 (cos.f64 y)))
(/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))) (/.f64 (cbrt.f64 (cos.f64 y)) (/.f64 1 (cbrt.f64 z))))
(/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))) (cbrt.f64 (/.f64 -1 z))) (cbrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))) (/.f64 (cbrt.f64 (neg.f64 (cos.f64 y))) (cbrt.f64 (/.f64 -1 z))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))) (cbrt.f64 (neg.f64 (cos.f64 y)))) (cbrt.f64 (/.f64 -1 z)))
(/.f64 (.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (.f64 z (cos.f64 y))))
(/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 z -1/2)) (sqrt.f64 (cos.f64 y)))
(/.f64 (*.f64 1 (pow.f64 z -1/2)) (sqrt.f64 (cos.f64 y)))
(/.f64 (pow.f64 z -1/2) (sqrt.f64 (cos.f64 y)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 -1 z))) (sqrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (sqrt.f64 (/.f64 -1 z)) (sqrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 (pow.f64 1 1/2) (/.f64 -1 (sqrt.f64 z))) (neg.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 -1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 z)))
(/.f64 (/.f64 -1 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 -1 z)) 1) (sqrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (sqrt.f64 (/.f64 -1 z)) (sqrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (cos.f64 y)))) (sqrt.f64 z))
(/.f64 (sqrt.f64 (/.f64 1 (cos.f64 y))) (sqrt.f64 z))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (cos.f64 y)))) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (/.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 1 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (neg.f64 z)))
(/.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (neg.f64 z))))
(/.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 z)))
(/.f64 (*.f64 1 (pow.f64 (/.f64 1 (cos.f64 y)) 1/2)) (sqrt.f64 z))
(/.f64 (sqrt.f64 (/.f64 1 (cos.f64 y))) (sqrt.f64 z))
(/.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (/.f64 1 (cos.f64 y)) 1/2)) (sqrt.f64 (neg.f64 z)))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (cos.f64 y)))) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (/.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (pow.f64 z -1/2)) (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4)) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (pow.f64 (/.f64 1 (*.f64 z (cos.f64 y))) 1/4) (/.f64 (sqrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 z -1/2))))
(.f64 (/.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/4) (sqrt.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (pow.f64 z -1/2)))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 z)) (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))))) (cbrt.f64 (cos.f64 y)))
(/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))) (/.f64 (cbrt.f64 (cos.f64 y)) (/.f64 1 (cbrt.f64 z))))
(/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(/.f64 (.f64 (cbrt.f64 (/.f64 -1 z)) (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))))) (cbrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))) (/.f64 (cbrt.f64 (neg.f64 (cos.f64 y))) (cbrt.f64 (/.f64 -1 z))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))) (cbrt.f64 (neg.f64 (cos.f64 y)))) (cbrt.f64 (/.f64 -1 z)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 z -1/2)) (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 z (cos.f64 y)))) (/.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 z -1/2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z -1/2)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (cbrt.f64 (/.f64 1 (.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (pow.f64 z -1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(/.f64 (pow.f64 z -1/2) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(/.f64 (/.f64 (pow.f64 z -1/2) (fabs.f64 (cbrt.f64 (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2))) (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))))
(/.f64 1 (.f64 (fabs.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (.f64 z (cos.f64 y))))) (sqrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))))
(/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))) -1/2)) (pow.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))) -1/2))
(/.f64 1 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))) -1/2) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1/2)))
(/.f64 1 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4) -1)) (pow.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4) -1))
(/.f64 1 (pow.f64 (pow.f64 (/.f64 1 (*.f64 z (cos.f64 y))) 1/4) -2))
(/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -1)) (pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))) -1))
(/.f64 1 (.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (sqrt.f64 (.f64 z (cos.f64 y)))))) (/.f64 1 (cbrt.f64 (/.f64 1 (*.f64 z (cos.f64 y)))))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 z (cos.f64 y)))) 1) (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (pow.f64 z -1/2) (sqrt.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (*.f64 1 (pow.f64 z -1/2)) (sqrt.f64 (cos.f64 y)))
(/.f64 (pow.f64 z -1/2) (sqrt.f64 (cos.f64 y)))
(pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/2)
(sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)
(/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4) 2)
(sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))) 3)
(/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 z (cos.f64 y))) 3/2))
(neg.f64 (/.f64 (pow.f64 z -1/2) (neg.f64 (sqrt.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (pow.f64 z -1/2)) (neg.f64 (sqrt.f64 (cos.f64 y))))
(fabs.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(log.f64 (exp.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))))))
(/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 z (cos.f64 y))) 3/2))
(expm1.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(/.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 10 computations (77.8% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

15 calls:

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`add-sqr-sqrt`
1630×	`*-un-lft-identity`
1504×	`add-cube-cbrt`
1478×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	175	35
2	2090	35

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 x (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))

Outputs

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

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

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1510×	`fma-def`
1242×	`associate-+r+`
1156×	`associate-+l+`
808×	`*-commutative`
744×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1287
1	282	1269
2	948	1239
3	3616	1209

Stop Event

1×	node limit

Counts

93 → 72

Calls

Call 1

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

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

eval265.0ms (2.6%)

Compiler: Compiled 12220 to 6193 computations (49.3% saved)

prune186.0ms (1.8%)

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	715	15	730
Fresh	8	11	19
Picked	1	0	1
Done	2	8	10
Total	726	34	760

Error

Counts

760 → 34

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	31.0b	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4) 4)
✓	43.2b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2)
	51.2b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y))) -2)
	46.1b	(/.f64 (/.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 (/.f64 -1 z))) (sqrt.f64 (/.f64 -1 z)))
	46.9b	(/.f64 (+.f64 z (*.f64 z (-.f64 1 z))) (-.f64 2 z))
	46.9b	(/.f64 (*.f64 (+.f64 z 2) z) (+.f64 z 2))
	24.8b	(/.f64 (cos.f64 y) (/.f64 1 z))
	24.7b	(/.f64 z (/.f64 1 (cos.f64 y)))
	24.8b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	46.9b	(/.f64 1 (/.f64 (+.f64 z 2) (*.f64 (+.f64 z 2) z)))
	38.2b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
✓	39.9b	(/.f64 1 (/.f64 1 z))
	43.4b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 x (/.f64 (*.f64 z z) y))))
	40.4b	(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
✓	47.7b	(-.f64 (+.f64 1 z) 1)
	16.4b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	47.7b	(+.f64 (+.f64 z -1) 1)
	4.1b	(+.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) (.f64 (cbrt.f64 (sin.f64 y)) x)) (*.f64 z (cos.f64 y)))
	32.3b	(+.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	39.3b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
	32.2b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) 3/2))) (*.f64 z (cos.f64 y)))
✓	19.8b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
✓	30.2b	(+.f64 (*.f64 y x) z)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	15.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
	25.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (/.f64 1 (*.f64 z (cbrt.f64 (cos.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
	46.9b	(.f64 (.f64 (+.f64 z 2) z) (/.f64 1 (+.f64 z 2)))
	42.8b	(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
	41.4b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) z)))))
	38.1b	(*.f64 (sin.f64 y) x)
	24.7b	(*.f64 (cos.f64 y) z)
	50.5b	(cbrt.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z -2)) z))
	39.8b	z

Compiler

Compiled 437 to 316 computations (27.7% saved)

regimes235.0ms (2.3%)

Counts

62 → 1

Calls

Call 1

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

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

Calls

4 calls:

57.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
51.0ms	y
46.0ms	z
25.0ms	x

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 1079 to 419 computations (61.2% saved)

regimes196.0ms (1.9%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

95.0ms	z
71.0ms	y
26.0ms	x

Results

Error	Segments	Branch
6.3b	3	`x`
10.2b	6	`y`
6.7b	5	`z`

Compiler

Compiled 154 to 94 computations (39% saved)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	5.809290755300339e+22	1.5068014557617784e+24
27.0ms	-3.2663177891931332e-109	-6.163401922310553e-111

Results

24.0ms	49×	body	1024	valid
24.0ms	151×	body	256	valid
7.0ms	24×	body	512	valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

regimes137.0ms (1.4%)

Counts

13 → 6

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	x
42.0ms	y
31.0ms	z

Results

Error	Segments	Branch
12.5b	6	`x`
12.9b	5	`y`
15.1b	3	`z`

Compiler

Compiled 112 to 75 computations (33% saved)

bsearch175.0ms (1.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
44.0ms	2.7972991519175358e+196	2.9352731906697242e+212
32.0ms	2.6989302628339997e+158	5.556596121783698e+162
32.0ms	4.5698820628197455e+78	2.2314358120602217e+80
31.0ms	4.300934323249541e+34	5.679800080516914e+37
35.0ms	-1.2897013800557575e+26	-1.3293383908675528e+23

Results

84.0ms	459×	body	256	valid
60.0ms	129×	body	1024	valid
20.0ms	68×	body	512	valid

Compiler

Compiled 692 to 505 computations (27% saved)

regimes71.0ms (0.7%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	x
23.0ms	y
19.0ms	z

Results

Error	Segments	Branch
18.6b	3	`x`
14.4b	3	`y`
18.7b	3	`z`

Compiler

Compiled 108 to 73 computations (32.4% saved)

bsearch56.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	0.0008906217199969401	0.24906340904742658
14.0ms	-2.4540906375101775e-8	-7.266765145973171e-9

Results

34.0ms

208×

body

256

valid

Compiler

Compiled 239 to 169 computations (29.3% saved)

regimes22.0ms (0.2%)

Accuracy

Total -25.1b remaining (-83.1%)

Threshold costs -25.1b (-83.1%)

Counts

11 → 1

Calls

Call 1

Inputs
z
(+.f64 (*.f64 y x) z)
(+.f64 (+.f64 z -1) 1)
(-.f64 (+.f64 1 z) 1)
(/.f64 1 (/.f64 1 z))
(/.f64 (*.f64 (+.f64 z 2) z) (+.f64 z 2))
(.f64 (.f64 (+.f64 z 2) z) (/.f64 1 (+.f64 z 2)))
(/.f64 1 (/.f64 (+.f64 z 2) (*.f64 (+.f64 z 2) z)))
(/.f64 (+.f64 z (*.f64 z (-.f64 1 z))) (-.f64 2 z))
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 x (/.f64 (*.f64 z z) y))))

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

Calls

3 calls:

7.0ms	y
6.0ms	x
6.0ms	z

Results

Error	Segments	Branch
30.2b	1	`x`
30.2b	1	`y`
30.2b	1	`z`

Compiler

Compiled 104 to 71 computations (31.7% 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	256
1	63	256

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -7107673776432753/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 64999999999999997902848) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x -22999999999999998003511296) (.f64 (sin.f64 y) x) (if (<=.f64 x 55999999999999996472597589357949353984) (.f64 (cos.f64 y) z) (if (<=.f64 x 48999999999999998564994823264438648406954295928319952073277107194659702122217472) (.f64 (sin.f64 y) x) (if (<=.f64 x 299999999999999998056336635625477677826702727225130131367717658034401414761199234743595451774958985924107645276250309606028839627698027291375566860402791809024) (.f64 (cos.f64 y) z) (if (<=.f64 x 38000000000000001463057568733887868612805100705436544267930004578128864546775708648980123109181409986529965862998160806044712651392730819668136656849270771485827260136989964651898941566478146600960) (+.f64 (.f64 y x) z) (.f64 (sin.f64 y) x))))))
(if (<=.f64 y -7253554917687775/302231454903657293676544) (.f64 (cos.f64 y) z) (if (<=.f64 y 4726978168888073/1152921504606846976) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
z

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -7107673776432753/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 64999999999999997902848) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (or (<=.f64 x -7107673776432753/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (not (<=.f64 x 64999999999999997902848))) (+.f64 (.f64 x (sin.f64 y)) z) (.f64 z (cos.f64 y)))
(if (<=.f64 x -22999999999999998003511296) (.f64 (sin.f64 y) x) (if (<=.f64 x 55999999999999996472597589357949353984) (.f64 (cos.f64 y) z) (if (<=.f64 x 48999999999999998564994823264438648406954295928319952073277107194659702122217472) (.f64 (sin.f64 y) x) (if (<=.f64 x 299999999999999998056336635625477677826702727225130131367717658034401414761199234743595451774958985924107645276250309606028839627698027291375566860402791809024) (.f64 (cos.f64 y) z) (if (<=.f64 x 38000000000000001463057568733887868612805100705436544267930004578128864546775708648980123109181409986529965862998160806044712651392730819668136656849270771485827260136989964651898941566478146600960) (+.f64 (.f64 y x) z) (.f64 (sin.f64 y) x))))))
(if (<=.f64 x -22999999999999998003511296) (.f64 x (sin.f64 y)) (if (<=.f64 x 55999999999999996472597589357949353984) (.f64 z (cos.f64 y)) (if (<=.f64 x 48999999999999998564994823264438648406954295928319952073277107194659702122217472) (.f64 x (sin.f64 y)) (if (<=.f64 x 299999999999999998056336635625477677826702727225130131367717658034401414761199234743595451774958985924107645276250309606028839627698027291375566860402791809024) (.f64 z (cos.f64 y)) (if (<=.f64 x 38000000000000001463057568733887868612805100705436544267930004578128864546775708648980123109181409986529965862998160806044712651392730819668136656849270771485827260136989964651898941566478146600960) (+.f64 z (.f64 x y)) (.f64 x (sin.f64 y)))))))
(if (<=.f64 y -7253554917687775/302231454903657293676544) (.f64 (cos.f64 y) z) (if (<=.f64 y 4726978168888073/1152921504606846976) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -7253554917687775/302231454903657293676544) (not (<=.f64 y 4726978168888073/1152921504606846976))) (.f64 z (cos.f64 y)) (+.f64 z (.f64 x y)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
z

Compiler

Compiled 115 to 69 computations (40% saved)

soundness0.0ms (0%)

end42.0ms (0.4%)

Compiler: Compiled 100 to 40 computations (60% saved)