Details

analyze379.0ms (3.1%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.4s (19.6%)

Results

1.0s	2004×	body	1024	valid
945.0ms	5181×	body	256	valid
418.0ms	1067×	body	512	valid
3.0ms	4×	body	2048	valid

Bogosity

preprocess15.0ms (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 (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 y (cos.f64 x)) (.f64 z (sin.f64 x)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

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

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

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

650×	`associate-+r+`
634×	`distribute-lft-neg-in`
622×	`+-commutative`
600×	`distribute-rgt-neg-in`
562×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	7858
1	869	7414
2	4088	7408

Stop Event

1×	node limit

Counts

174 → 197

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

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

Outputs

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

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

85 → 91

Calls

Call 1

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

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

eval81.0ms (0.7%)

Compiler: Compiled 8234 to 2532 computations (69.2% saved)

prune69.0ms (0.6%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	292	21	313
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	292	23	315

Error

0.1b

Counts

315 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
▶	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	29.7b	(fma.f64 z y x)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	29.5b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2) (/.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))))
	47.8b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))
	38.6b	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
	29.1b	(/.f64 1 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))
	0.3b	(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
▶	29.7b	(+.f64 (*.f64 y z) x)
	28.7b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
▶	0.5b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
▶	27.4b	(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	18.4b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	28.6b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	32.7b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3/2))
	38.6b	(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))
	32.7b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2)))))
	22.6b	(*.f64 (cos.f64 y) x)
	41.0b	(*.f64 z (sin.f64 y))
	37.1b	x

Compiler

Compiled 885 to 504 computations (43.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite68.0ms (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 (sin.f64 y) z (*.f64 x (cos.f64 y)))

Outputs

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

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

85 → 85

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(.f64 -1/6 (.f64 (pow.f64 y 3) z))
✓	5.5b	(*.f64 (pow.f64 y 3) z)
✓	8.2b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))

Compiler

Compiled 59 to 31 computations (47.5% saved)

series4.0ms (0%)

Counts

3 → 21

Calls

18 calls:

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

142 → 194

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
✓	6.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series10.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

73 → 62

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)
	6.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 48 to 14 computations (70.8% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`add-sqr-sqrt`
1672×	`*-un-lft-identity`
1550×	`add-cube-cbrt`
1528×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	197	21
2	2209	21

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1116×	`associate-/r/`
708×	`*-commutative`
688×	`fma-def`
508×	`distribute-lft-in`
496×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	709
1	129	655
2	347	655
3	1142	655
4	2401	655
5	6659	655

Stop Event

1×	node limit

Counts

29 → 26

Calls

Call 1

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

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

eval271.0ms (2.2%)

Compiler: Compiled 15958 to 7102 computations (55.5% saved)

prune184.0ms (1.5%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	639	12	651
Fresh	4	12	16
Picked	1	0	1
Done	2	4	6
Total	646	28	674

Error

0.0b

Counts

674 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
	15.9b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) x)
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	12.9b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 2)) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
	29.7b	(fma.f64 z y x)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	29.5b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2) (/.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))))
	38.6b	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
▶	29.1b	(/.f64 1 (/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
▶	0.3b	(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
✓	29.7b	(+.f64 (*.f64 y z) x)
	28.7b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	29.7b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (exp.f64 (.f64 (log.f64 (*.f64 z (sin.f64 y))) 1/3)) 3))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	0.5b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y))))
▶	31.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	31.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	18.4b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	28.6b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
▶	15.9b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	30.8b	(+.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
	38.6b	(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))
	22.6b	(*.f64 (cos.f64 y) x)
	41.0b	(*.f64 z (sin.f64 y))
▶	54.6b	(*.f64 y z)
	37.1b	x

Compiler

Compiled 896 to 562 computations (37.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 14 computations (68.9% saved)

series6.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite127.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

Outputs

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

simplify141.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	396	12965
1	1083	12139
2	4841	12139

Stop Event

1×	node limit

Counts

309 → 253

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	0.1b	(*.f64 z (sin.f64 y))
	0.6b	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
	6.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`*-commutative`
938×	`unswap-sqr`
614×	`swap-sqr`
488×	`distribute-lft-in`
482×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	252	13
2	2963	13

Stop Event

1×	node limit

Counts

1 → 85

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1840×	`distribute-lft-in`
1732×	`associate-/r*`
1664×	`associate-*r/`
1358×	`associate-*l/`
544×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	239	5117
1	689	4461
2	2964	4461

Stop Event

1×	node limit

Counts

109 → 135

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 10 computations (76.2% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

21 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`unswap-sqr`
892×	`swap-sqr`
602×	`distribute-rgt-in`
556×	`distribute-lft-in`
420×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	266	49
2	3436	49

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) (-.f64 1 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) 3))) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) 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simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

782×	`associate-/r/`
678×	`associate-/l/`
620×	`associate-r`
608×	`+-commutative`
602×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	8420
1	970	8096
2	4664	8074

Stop Event

1×	node limit

Counts

190 → 204

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 (sin.f64 y) z) 2)
✓	0.3b	(/.f64 1 (/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
✓	4.2b	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))
✓	27.3b	(/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))

Compiler

Compiled 102 to 33 computations (67.6% saved)

series19.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(/.f64 1 (/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
1.0ms	y	@	-inf	(/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))
1.0ms	y	@	inf	(/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))
1.0ms	y	@	-inf	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))
1.0ms	y	@	0	(/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))

rewrite161.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`associate-/r/`
438×	`associate-+l+`
420×	`add-sqr-sqrt`
410×	`*-un-lft-identity`
406×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	204
1	405	108
2	5725	108

Stop Event

1×	node limit

Counts

4 → 338

Calls

Call 1

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

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

simplify280.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1296×	`associate-/r*`
1258×	`*-commutative`
1230×	`associate-*r/`
1194×	`associate-*l/`
732×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	957	37716
1	3207	37500

Stop Event

1×	node limit

Counts

470 → 585

Calls

Call 1

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

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

eval578.0ms (4.7%)

Compiler: Compiled 43788 to 15679 computations (64.2% saved)

prune440.0ms (3.6%)

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	1302	18	1320
Fresh	10	9	19
Picked	1	0	1
Done	2	6	8
Total	1315	33	1348

Error

0.0b

Counts

1348 → 33

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(fma.f64 (pow.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	12.9b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 2)) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
	29.7b	(fma.f64 z y x)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	29.1b	(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
	32.3b	(/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) 2))
	41.0b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
	29.7b	(/.f64 1 (/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) 3)))
	41.1b	(/.f64 1 (/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (.f64 (.f64 x x) (neg.f64 (pow.f64 (cos.f64 y) 2)))))
	32.5b	(/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) -1/2)))))
	1.7b	(/.f64 1 (/.f64 1 (/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2))))))
	32.3b	(/.f64 1 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))))))
▶	22.7b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
▶	37.2b	(/.f64 1 (/.f64 1 x))
	37.8b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	39.0b	(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
	32.3b	(/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
✓	29.7b	(+.f64 (*.f64 y z) x)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	28.6b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
▶	37.7b	(+.f64 x (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1/3)) 3))
✓	15.9b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	30.8b	(+.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
	16.0b	(+.f64 x (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y))))
	15.9b	(+.f64 x (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y))))
	39.5b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
	30.5b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
	22.6b	(*.f64 (cos.f64 y) x)
	41.0b	(*.f64 z (sin.f64 y))
✓	54.6b	(*.f64 y z)
	37.1b	x

Compiler

Compiled 1064 to 671 computations (36.9% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 2)
✓	0.6b	(cbrt.f64 z)
✓	0.7b	(cbrt.f64 (sin.f64 y))
	6.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 61 to 17 computations (72.1% saved)

series8.0ms (0.1%)

Counts

3 → 16

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 2)
1.0ms	y	@	-inf	(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 2)
1.0ms	y	@	inf	(cbrt.f64 (sin.f64 y))
1.0ms	y	@	-inf	(cbrt.f64 (sin.f64 y))
0.0ms	y	@	0	(cbrt.f64 (sin.f64 y))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`add-sqr-sqrt`
1838×	`*-un-lft-identity`
1708×	`add-cube-cbrt`
1686×	`add-cbrt-cube`
204×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	217	35
2	2467	35

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

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

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1854×	`distribute-rgt-in`
1794×	`distribute-lft-in`
1168×	`unswap-sqr`
474×	`*-commutative`
396×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1344
1	271	1344
2	1045	1344
3	3644	1322

Stop Event

1×	node limit

Counts

82 → 79

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 12 computations (53.8% saved)

series3.0ms (0%)

Counts

3 → 32

Calls

18 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Outputs

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

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

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

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-*r/`
1234×	`unswap-sqr`
1216×	`associate-/r*`
930×	`associate-*l/`
910×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1953
1	400	1937
2	1616	1925

Stop Event

1×	node limit

Counts

117 → 106

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (log.f64 (.f64 z (sin.f64 y))) 1/3)
✓	0.3b	(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1/3)) 3)
✓	2.2b	(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1/3))
✓	5.9b	(log.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 56 to 24 computations (57.1% saved)

series104.0ms (0.9%)

Counts

4 → 56

Calls

24 calls:

Time	Variable		Point	Expression
32.0ms	y	@	inf	(log.f64 (*.f64 z (sin.f64 y)))
25.0ms	z	@	0	(log.f64 (*.f64 z (sin.f64 y)))
20.0ms	z	@	inf	(log.f64 (*.f64 z (sin.f64 y)))
13.0ms	y	@	-inf	(log.f64 (*.f64 z (sin.f64 y)))
10.0ms	z	@	-inf	(log.f64 (*.f64 z (sin.f64 y)))

rewrite112.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`*-commutative`
850×	`sqrt-prod`
756×	`unswap-sqr`
578×	`swap-sqr`
420×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	92
1	260	60
2	2909	60

Stop Event

1×	node limit

Counts

4 → 259

Calls

Call 1

Inputs
(log.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1/3))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1/3)) 3)
(.f64 (log.f64 (.f64 z (sin.f64 y))) 1/3)

Outputs
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(sqrt.f64 (.f64 z (sin.f64 y)))) (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)) (+.f64 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (+.f64 (log.f64 (cbrt.f64 (sin.f64 y))) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 z)) (+.f64 (log.f64 (sqrt.f64 z)) (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (+.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (+.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 z (sin.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (log.f64 z)) (+.f64 (.f64 1/3 (log.f64 (sin.f64 y))) (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sin.f64 y)) (log.f64 (pow.f64 (cbrt.f64 z) 2))) (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sin.f64 y)) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 z) (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (log.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 z) (log.f64 (sqrt.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (log.f64 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(log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2))) (.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))) (.f64 3 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 1/3 (log.f64 z))) (.f64 3 (.f64 1/3 (log.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))) (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y))))) (.f64 1 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) 3) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) 3) (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/3 (log.f64 z)) 3) (.f64 (.f64 1/3 (log.f64 (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) 1) (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) (-.f64 1 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (.f64 z (sin.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 z) 2) (-.f64 (log.f64 z) (log.f64 (sin.f64 y)))) (/.f64 (pow.f64 (log.f64 (sin.f64 y)) 2) (-.f64 (log.f64 z) (log.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (.f64 (log.f64 (.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (log.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (+.f64 (cbrt.f64 (.f64 z (sin.f64 y))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (cbrt.f64 (.f64 z (sin.f64 y))) -1))))))

simplify125.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1108×	`associate-r`
918×	`associate-l`
666×	`fma-def`
514×	`*-commutative`
400×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	654	4925
1	1639	4925
2	7893	4925

Stop Event

1×

unsound

Counts

315 → 282

Calls

Call 1

Inputs
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y)))
(+.f64 (log.f64 z) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4)))))
(+.f64 (log.f64 z) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4))))))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(*.f64 1/3 (+.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(*.f64 1/3 (+.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(*.f64 1/3 (+.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(*.f64 1/3 (+.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(.f64 1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))
(.f64 1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))
(.f64 1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))
(.f64 1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))
(.f64 1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y)))))
(.f64 1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y)))))
(.f64 1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y)))))
(.f64 1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y)))))
(*.f64 1/3 (+.f64 (log.f64 z) (log.f64 y)))
(+.f64 (.f64 1/3 (+.f64 (log.f64 z) (log.f64 y))) (.f64 -1/18 (pow.f64 y 2)))
(+.f64 (.f64 1/3 (+.f64 (log.f64 z) (log.f64 y))) (+.f64 (.f64 -1/18 (pow.f64 y 2)) (*.f64 -1/540 (pow.f64 y 4))))
(+.f64 (.f64 1/3 (+.f64 (log.f64 z) (log.f64 y))) (+.f64 (.f64 -1/8505 (pow.f64 y 6)) (+.f64 (.f64 -1/18 (pow.f64 y 2)) (.f64 -1/540 (pow.f64 y 4)))))
(.f64 1/3 (log.f64 (.f64 z (sin.f64 y))))
(.f64 1/3 (log.f64 (.f64 z (sin.f64 y))))
(.f64 1/3 (log.f64 (.f64 z (sin.f64 y))))
(.f64 1/3 (log.f64 (.f64 z (sin.f64 y))))
(.f64 1/3 (log.f64 (.f64 z (sin.f64 y))))
(.f64 1/3 (log.f64 (.f64 z (sin.f64 y))))
(.f64 1/3 (log.f64 (.f64 z (sin.f64 y))))
(.f64 1/3 (log.f64 (.f64 z (sin.f64 y))))
(+.f64 (log.f64 (*.f64 z (sin.f64 y))) 0)
(+.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)))
(+.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
(+.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) 1))
(+.f64 (log.f64 (sin.f64 y)) (log.f64 z))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)) (+.f64 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))))
(+.f64 0 (log.f64 (*.f64 z (sin.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (+.f64 (log.f64 (cbrt.f64 (sin.f64 y))) (log.f64 z)))
(+.f64 (log.f64 (sqrt.f64 z)) (+.f64 (log.f64 (sqrt.f64 z)) (log.f64 (sin.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (+.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (log.f64 z)))
(+.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (+.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 z (sin.f64 y))))) -1)
(+.f64 (.f64 1/3 (log.f64 z)) (+.f64 (.f64 1/3 (log.f64 (sin.f64 y))) (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
(+.f64 (+.f64 (log.f64 (sin.f64 y)) (log.f64 (pow.f64 (cbrt.f64 z) 2))) (log.f64 (cbrt.f64 z)))
(+.f64 (+.f64 (log.f64 (sin.f64 y)) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z)))
(+.f64 (+.f64 (log.f64 z) (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (log.f64 (cbrt.f64 (sin.f64 y))))
(+.f64 (+.f64 (log.f64 z) (log.f64 (sqrt.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) 0) (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))) (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6)))
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (.f64 1/3 (log.f64 z))) (*.f64 1/3 (log.f64 (sin.f64 y))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y))))) (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))) (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))
(+.f64 (.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2))) (.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))
(+.f64 (.f64 3 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))) (.f64 3 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))))
(+.f64 (.f64 3 (.f64 1/3 (log.f64 z))) (.f64 3 (.f64 1/3 (log.f64 (sin.f64 y)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))) (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y))))) (.f64 1 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) 3) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) 3))
(+.f64 (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) 3) (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) 3))
(+.f64 (.f64 (.f64 1/3 (log.f64 z)) 3) (.f64 (.f64 1/3 (log.f64 (sin.f64 y))) 3))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) 1) (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) (-.f64 1 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 z (sin.f64 y))))) 1)
(-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (*.f64 z (sin.f64 y)))))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 z) 2) (-.f64 (log.f64 z) (log.f64 (sin.f64 y)))) (/.f64 (pow.f64 (log.f64 (sin.f64 y)) 2) (-.f64 (log.f64 z) (log.f64 (sin.f64 y)))))
(.f64 (log.f64 (.f64 z (sin.f64 y))) 1)
(.f64 1/3 (.f64 (log.f64 (*.f64 z (sin.f64 y))) 3))
(.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 3)
(.f64 3 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))
(.f64 1 (log.f64 (.f64 z (sin.f64 y))))
(.f64 (sqrt.f64 (log.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))
(.f64 (cbrt.f64 (log.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2))
(.f64 (cbrt.f64 (log.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) 2) (.f64 3 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))
(.f64 2 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (sqrt.f64 (log.f64 (.f64 z (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 3))))
(.f64 (.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3)
(.f64 (.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))
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(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (*.f64 z (sin.f64 y)))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1/6)) (cbrt.f64 (.f64 z (sin.f64 y)))) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1/6)) (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3/4) (sqrt.f64 (sqrt.f64 (.f64 z (sin.f64 y))))) (.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3/4) (sqrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))
(.f64 (.f64 (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (.f64 z (sin.f64 y))))) (.f64 (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3/4)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3/4)))
(.f64 (.f64 (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6) 3/2) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3/4)) (.f64 (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6) 3/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3/4)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6) 3/2)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3/2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3/4) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6) 3/2)) (.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3/4) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3/2)))
(.f64 (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1/6))) (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/6))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 3/4))
(.f64 (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/6))
(.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (sin.f64 y))))) (/.f64 (sqrt.f64 (log.f64 (.f64 z (sin.f64 y)))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (sin.f64 y))))) (/.f64 (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2)))
(.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 (.f64 z (sin.f64 y))) 2)) (pow.f64 (exp.f64 1) (/.f64 (log.f64 (*.f64 z (sin.f64 y))) 2)))
(.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (sin.f64 y)))) 2)) (/.f64 (cbrt.f64 (log.f64 (.f64 z (sin.f64 y)))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (sin.f64 y)))) 2)) (/.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2)))
(.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3))) (sqrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 z (*.f64 z (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 4)) (cbrt.f64 (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 1))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(fabs.f64 (*.f64 z (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))
(+.f64 0 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)))
(+.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))) -1)
(+.f64 (.f64 1/3 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (.f64 1/3 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))))
(+.f64 (.f64 1/3 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) 1/3))
(+.f64 (.f64 1/3 (log.f64 z)) (.f64 1/3 (log.f64 (sin.f64 y))))
(+.f64 (.f64 1/3 (log.f64 (sin.f64 y))) (.f64 1/3 (log.f64 z)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)))
(+.f64 (.f64 1/3 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))) (.f64 1/3 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))
(+.f64 (.f64 1/3 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y))))) (.f64 1/3 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))) (.f64 1 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))))
(+.f64 (.f64 1 (.f64 1/3 (log.f64 z))) (.f64 1 (.f64 1/3 (log.f64 (sin.f64 y)))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) 1/3) (.f64 1/3 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 1/3) (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 1/3))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) 1) (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) 1))
(+.f64 (.f64 (.f64 1/3 (log.f64 z)) 1) (.f64 (.f64 1/3 (log.f64 (sin.f64 y))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))) 1)
(/.f64 (*.f64 1/3 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 (sin.f64 y)) 2))) (-.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(/.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 (sin.f64 y)) 3))) (+.f64 (pow.f64 (log.f64 z) 2) (.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 (sin.f64 y)) 2)) 1/3) (-.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 (sin.f64 y)) 3)) 1/3) (+.f64 (pow.f64 (log.f64 z) 2) (.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)))))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2))) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (-.f64 0 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))) (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)))) (-.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))))
(/.f64 (-.f64 (.f64 (.f64 1/3 (log.f64 z)) (.f64 1/3 (log.f64 z))) (.f64 (.f64 1/3 (log.f64 (sin.f64 y))) (.f64 1/3 (log.f64 (sin.f64 y))))) (-.f64 (.f64 1/3 (log.f64 z)) (.f64 1/3 (log.f64 (sin.f64 y)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) 1))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2))) (-.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2) (.f64 0 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) 3) (pow.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))) (-.f64 (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))) (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (log.f64 z)) 3) (pow.f64 (.f64 1/3 (log.f64 (sin.f64 y))) 3)) (+.f64 (.f64 (.f64 1/3 (log.f64 z)) (.f64 1/3 (log.f64 z))) (-.f64 (.f64 (.f64 1/3 (log.f64 (sin.f64 y))) (.f64 1/3 (log.f64 (sin.f64 y)))) (.f64 (.f64 1/3 (log.f64 z)) (*.f64 1/3 (log.f64 (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) 1))))
(pow.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))
(fabs.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))
(log.f64 (+.f64 1 (+.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) -1)))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))
(log1p.f64 (+.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) -1))

Outputs
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y)))
(+.f64 (log.f64 z) (fma.f64 -1/6 (*.f64 y y) (log.f64 y)))
(+.f64 (log.f64 z) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4)))))
(+.f64 (log.f64 z) (+.f64 (fma.f64 -1/6 (.f64 y y) (log.f64 y)) (.f64 -1/180 (pow.f64 y 4))))
(+.f64 (log.f64 z) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4))))))
(+.f64 (log.f64 z) (fma.f64 -1/6 (.f64 y y) (fma.f64 -1/2835 (pow.f64 y 6) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4))))))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(log.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(*.f64 1/3 (+.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(*.f64 1/3 (+.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(*.f64 1/3 (+.f64 (log.f64 z) (log.f64 (sin.f64 y))))
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(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (*.f64 z (sin.f64 y)))
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(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1/6)) (cbrt.f64 (.f64 z (sin.f64 y)))) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1/6)) (cbrt.f64 (*.f64 z (sin.f64 y)))))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3/4) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6) 3/2)) (.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3/4) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3/2)))
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(.f64 (sqrt.f64 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
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(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
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(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
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(+.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)))
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(+.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))) -1)
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(+.f64 (.f64 1/3 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (.f64 1/3 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))))
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(+.f64 (.f64 1/3 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) 1/3))
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(+.f64 (+.f64 0 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)))
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(+.f64 (.f64 1/3 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2))) (.f64 1/3 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))
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(+.f64 (.f64 1/3 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y))))) (.f64 1/3 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y))))))
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(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))
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(+.f64 (.f64 1 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))) (.f64 1 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))))
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(+.f64 (.f64 1 (.f64 1/3 (log.f64 z))) (.f64 1 (.f64 1/3 (log.f64 (sin.f64 y)))))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) 1/3) (.f64 1/3 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))
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(+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 1/3) (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 1/3))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) 1))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) 1) (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) 1))
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(+.f64 (.f64 (.f64 1/3 (log.f64 z)) 1) (.f64 (.f64 1/3 (log.f64 (sin.f64 y))) 1))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))) 1)
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(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))) 1)
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (*.f64 1/3 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 (sin.f64 y)) 2))) (-.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 (sin.f64 y)) 3))) (+.f64 (pow.f64 (log.f64 z) 2) (.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)))))
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 (sin.f64 y)) 2)) 1/3) (-.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 (sin.f64 y)) 3)) 1/3) (+.f64 (pow.f64 (log.f64 z) 2) (.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)))))
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2))) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))))
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (-.f64 0 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))) (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)))) (-.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6)) (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/6))))
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (.f64 (.f64 1/3 (log.f64 z)) (.f64 1/3 (log.f64 z))) (.f64 (.f64 1/3 (log.f64 (sin.f64 y))) (.f64 1/3 (log.f64 (sin.f64 y))))) (-.f64 (.f64 1/3 (log.f64 z)) (.f64 1/3 (log.f64 (sin.f64 y)))))
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) 1))
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2))) (-.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y))))) (log.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))))) (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))))
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(/.f64 (+.f64 0 (pow.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 2) (.f64 0 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y))))))))
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(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (log.f64 z)) 3) (pow.f64 (.f64 1/3 (log.f64 (sin.f64 y))) 3)) (+.f64 (.f64 (.f64 1/3 (log.f64 z)) (.f64 1/3 (log.f64 z))) (-.f64 (.f64 (.f64 1/3 (log.f64 (sin.f64 y))) (.f64 1/3 (log.f64 (sin.f64 y)))) (.f64 (.f64 1/3 (log.f64 z)) (*.f64 1/3 (log.f64 (sin.f64 y)))))))
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(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 1)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) 2)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) 3)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3) 1/3)
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(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))
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(fabs.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (*.f64 z (sin.f64 y)))
(log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (+.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) -1)))
(log.f64 (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3))
(log.f64 (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 z (sin.f64 y)))
(log1p.f64 (+.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) -1))
(log.f64 (*.f64 z (sin.f64 y)))

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cos.f64 y) 2)
✓	0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 2)
✓	4.2b	(-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))
✓	27.3b	(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))

Compiler

Compiled 89 to 30 computations (66.3% saved)

series7.0ms (0.1%)

Counts

4 → 100

Calls

27 calls:

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

rewrite155.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`associate-/r/`
514×	`associate-+l+`
426×	`add-sqr-sqrt`
420×	`*-un-lft-identity`
416×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 247

Calls

Call 1

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

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

simplify212.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1554×	`associate-r`
1266×	`associate-l`
1090×	`associate-/l*`
692×	`*-commutative`
624×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	690	25099
1	1967	24061

Stop Event

1×	node limit

Counts

347 → 393

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 x) (.f64 -1 (/.f64 (pow.f64 z 2) x)))) (pow.f64 y 2)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 x) (.f64 -1 (/.f64 (pow.f64 z 2) x)))) z) x)) (+.f64 (.f64 -1/2 z) (.f64 1/6 z))))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 x) (.f64 -1 (/.f64 (pow.f64 z 2) x)))) (pow.f64 y 2)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 4) (-.f64 (.f64 -1/3 (pow.f64 z 2)) (.f64 1/3 (pow.f64 x 2))))))
(+.f64 (.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 -1/3 (pow.f64 z 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 (-.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) (.f64 -2/45 (pow.f64 x 2))) (pow.f64 y 6)))))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (pow.f64 y 8) (+.f64 (.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/2520 (pow.f64 z 2)))))))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 6) (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 4) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 4) (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)))) (neg.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 6) (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 4) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 4) (.f64 (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 6) (pow.f64 (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 4) (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2))) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))))))
(pow.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(fma.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(fma.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 2) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 4)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(fma.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1)
(.f64 z (.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))
(.f64 (sin.f64 y) (.f64 z (*.f64 z (sin.f64 y))))
(.f64 (.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 1)
(.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 2))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 4)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z))
(.f64 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y))
(.f64 (.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
(+.f64 (.f64 1/2 (cos.f64 (.f64 2 y))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1)
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))

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

eval310.0ms (2.5%)

Compiler: Compiled 26780 to 9976 computations (62.7% saved)

prune229.0ms (1.9%)

Pruning

33 alts after pruning (23 fresh and 10 done)

	Pruned	Kept	Total
New	923	11	934
Fresh	10	12	22
Picked	1	0	1
Done	0	10	10
Total	934	33	967

Error

Counts

967 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(fma.f64 (pow.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	12.9b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 2)) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
	29.7b	(fma.f64 z y x)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	23.4b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
	41.1b	(/.f64 (neg.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
	43.9b	(/.f64 1 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) -1/2) 2))
	41.0b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
	22.8b	(/.f64 1 (/.f64 (/.f64 1 x) (cos.f64 y)))
	22.7b	(/.f64 1 (/.f64 1 (/.f64 (cos.f64 y) (/.f64 1 x))))
	22.7b	(/.f64 1 (/.f64 1 (/.f64 x (/.f64 1 (cos.f64 y)))))
✓	22.7b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
✓	37.2b	(/.f64 1 (/.f64 1 x))
	37.8b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	39.0b	(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
	43.5b	(-.f64 (+.f64 1 x) 1)
✓	29.7b	(+.f64 (*.f64 y z) x)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	37.7b	(+.f64 x (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1/3)) 3))
✓	15.9b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	30.8b	(+.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
	16.0b	(+.f64 x (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (sin.f64 y) (cbrt.f64 z))))
	15.9b	(+.f64 x (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y))))
	39.5b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
	30.5b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
	22.7b	(*.f64 (/.f64 1 (/.f64 1 (cos.f64 y))) x)
	23.3b	(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
	43.1b	(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
	22.6b	(*.f64 (cos.f64 y) x)
	41.0b	(*.f64 z (sin.f64 y))
✓	54.6b	(*.f64 y z)
	37.1b	x

Compiler

Compiled 405 to 290 computations (28.4% saved)

regimes182.0ms (1.5%)

Counts

64 → 1

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	x
46.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
41.0ms	z
27.0ms	y

Results

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

Compiler

Compiled 1034 to 383 computations (63% saved)

regimes49.0ms (0.4%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 198 to 108 computations (45.5% saved)

regimes88.0ms (0.7%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
10.0ms	x
10.0ms	y
10.0ms	z

Results

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

Compiler

Compiled 190 to 107 computations (43.7% saved)

regimes145.0ms (1.2%)

Counts

17 → 7

Calls

Call 1

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

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

Calls

3 calls:

86.0ms	y
31.0ms	z
24.0ms	x

Results

Error	Segments	Branch
12.9b	3	`x`
9.9b	7	`y`
13.6b	3	`z`

Compiler

Compiled 138 to 84 computations (39.1% saved)

bsearch408.0ms (3.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
115.0ms	2.230445575102022e+210	6.940242489755995e+230
34.0ms	7.934541268549594e+136	9.477903369852082e+138
72.0ms	4.124101136643996e+112	1.8522332474948329e+121
21.0ms	1.421277868494318e-7	5.3132736617422175e-5
43.0ms	-23909.003786752117	-0.00888742002440299
124.0ms	-2.0950728632407807e+250	-1.228307815107863e+232

Results

234.0ms	336×	body	1024	valid
102.0ms	256×	body	512	valid
61.0ms	272×	body	256	valid

Compiler

Compiled 1107 to 835 computations (24.6% saved)

regimes185.0ms (1.5%)

Counts

16 → 7

Calls

Call 1

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

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

Calls

3 calls:

96.0ms	y
29.0ms	z
22.0ms	x

Results

Error	Segments	Branch
12.9b	3	`x`
10.0b	7	`y`
13.6b	3	`z`

Compiler

Compiled 125 to 77 computations (38.4% saved)

bsearch477.0ms (3.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
103.0ms	2.230445575102022e+210	6.940242489755995e+230
74.0ms	7.934541268549594e+136	9.477903369852082e+138
44.0ms	4.124101136643996e+112	1.8522332474948329e+121
48.0ms	1.421277868494318e-7	5.3132736617422175e-5
102.0ms	-23909.003786752117	-0.00888742002440299
106.0ms	-2.0950728632407807e+250	-1.228307815107863e+232

Results

205.0ms	336×	body	1024	valid
146.0ms	272×	body	256	valid
115.0ms	256×	body	512	valid

Compiler

Compiled 954 to 716 computations (24.9% saved)

regimes157.0ms (1.3%)

Counts

12 → 7

Calls

Call 1

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

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

Calls

3 calls:

110.0ms	y
26.0ms	z
18.0ms	x

Results

Error	Segments	Branch
12.9b	3	`x`
10.0b	7	`y`
13.6b	3	`z`

Compiler

Compiled 89 to 53 computations (40.4% saved)

bsearch384.0ms (3.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
141.0ms	2.230445575102022e+210	6.940242489755995e+230
34.0ms	7.934541268549594e+136	9.477903369852082e+138
69.0ms	4.124101136643996e+112	1.8522332474948329e+121
37.0ms	1.421277868494318e-7	5.3132736617422175e-5
31.0ms	-23909.003786752117	-0.00888742002440299
72.0ms	-2.0950728632407807e+250	-1.228307815107863e+232

Results

209.0ms	336×	body	1024	valid
100.0ms	256×	body	512	valid
64.0ms	272×	body	256	valid

Compiler

Compiled 954 to 716 computations (24.9% saved)

regimes185.0ms (1.5%)

Counts

10 → 7

Calls

Call 1

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

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

Calls

3 calls:

116.0ms	y
50.0ms	z
17.0ms	x

Results

Error	Segments	Branch
12.9b	3	`x`
10.0b	7	`y`
13.6b	3	`z`

Compiler

Compiled 73 to 44 computations (39.7% saved)

bsearch657.0ms (5.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
372.0ms	2.230445575102022e+210	6.940242489755995e+230
36.0ms	7.934541268549594e+136	9.477903369852082e+138
61.0ms	4.124101136643996e+112	1.8522332474948329e+121
26.0ms	1.421277868494318e-7	5.3132736617422175e-5
75.0ms	-23909.003786752117	-0.00888742002440299
87.0ms	-2.0950728632407807e+250	-1.228307815107863e+232

Results

455.0ms	336×	body	1024	valid
98.0ms	272×	body	256	valid
93.0ms	256×	body	512	valid

Compiler

Compiled 882 to 644 computations (27% saved)

regimes138.0ms (1.1%)

Counts

9 → 7

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	y
48.0ms	z
39.0ms	x

Results

Error	Segments	Branch
12.9b	3	`x`
10.0b	7	`y`
13.6b	3	`z`

Compiler

Compiled 69 to 43 computations (37.7% saved)

bsearch342.0ms (2.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
84.0ms	2.230445575102022e+210	6.940242489755995e+230
37.0ms	7.934541268549594e+136	9.477903369852082e+138
96.0ms	4.124101136643996e+112	1.8522332474948329e+121
22.0ms	1.421277868494318e-7	5.3132736617422175e-5
26.0ms	-23909.003786752117	-0.00888742002440299
76.0ms	-2.0950728632407807e+250	-1.228307815107863e+232

Results

156.0ms	336×	body	1024	valid
129.0ms	256×	body	512	valid
45.0ms	272×	body	256	valid

Compiler

Compiled 899 to 661 computations (26.5% saved)

regimes78.0ms (0.6%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	z
16.0ms	y
14.0ms	x

Results

Error	Segments	Branch
24.0b	3	`x`
17.0b	3	`y`
24.5b	3	`z`

Compiler

Compiled 65 to 41 computations (36.9% saved)

bsearch51.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	157.1493192462911	345533.97424134787
28.0ms	-0.00888742002440299	-3.4500236996897186e-11

Results

48.0ms

272×

body

256

valid

Compiler

Compiled 307 to 217 computations (29.3% saved)

regimes19.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
5.0ms	z
5.0ms	x

Results

Error	Segments	Branch
29.7b	1	`x`
29.7b	1	`y`
29.7b	1	`z`

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes33.0ms (0.3%)

Accuracy

Total -28.9b remaining (-86.4%)

Threshold costs -28.9b (-86.4%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)

Outputs
x
(*.f64 y z)
x

Calls

3 calls:

14.0ms	y
10.0ms	x
9.0ms	z

Results

Error	Segments	Branch
33.4b	3	`x`
34.5b	5	`y`
35.3b	2	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch23.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	4.9920146364528206e-107	6.40053455068418e-107
9.0ms	-5.961861958877392e-142	-5.5304690511538314e-142

Results

10.0ms	18×	body	1024	valid
10.0ms	55×	body	256	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 78 to 58 computations (25.6% saved)

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`if-if-or-not`
12×	`*-commutative`
8×	`not-or`
8×	`+-commutative`
4×	`not-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	856
1	172	848
2	178	848
3	184	840
4	186	840
5	188	840

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 y -19999999999999998421936661664294053151080855387504444745733035393436825233278672005560948283410708288220728162236284648020809571429082630568562515505514583247285006834145935719548240949300738322281106670384019261349564171109391944306795105153030553600) (.f64 z (sin.f64 y)) (if (<=.f64 y -4092871341354307/288230376151711744) (.f64 (cos.f64 y) x) (if (<=.f64 y 3910709743626425/73786976294838206464) (+.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z))) (if (<=.f64 y 85000000000000003317323032006788532090519149869560907038521020311230613419307027823400893412609875032321551318791487488) (.f64 (cos.f64 y) x) (if (<=.f64 y 129999999999999996006203513718532903369370283217111522561542208360121869838732498490647780577712740834048305125520856030334153469655515136) (.f64 z (sin.f64 y)) (if (<=.f64 y 45999999999999999010203735564693651215966145932594689154947835715210917419425103694481480659099778656087302054930024673980755167233277463626559639324387812614710252560412836761393560505985817430873698324557339981079465280143360) (/.f64 1 (/.f64 (/.f64 1 x) (cos.f64 y))) (.f64 z (sin.f64 y))))))))
(if (<=.f64 y -269999999999999987108738635301222829047913043941368100666775729106165112956426642090795040541588105451822895646958815761777055691283449668842000678348835041969893403005968000018822577836351365958603286745683362335892392873604147761616257024) (.f64 z (sin.f64 y)) (if (<=.f64 y -5188146770730811/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 y 3246626956972881/1180591620717411303424) (fma.f64 z y x) (if (<=.f64 y 115000000000000003434145399925511914918964835438373331583107028781241637026126401895757975238161150746845631421138075648) (.f64 (cos.f64 y) x) (if (<=.f64 y 2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680) (.f64 z (sin.f64 y)) (if (<=.f64 y 750000000000000034951355381115523176303814357462032646065735343514012085992314724679575784160646784240775482446989117398987946249505173568520466573119482580440572595525487166424615404421291428744844801828670182088266219520) (/.f64 1 (/.f64 (/.f64 1 x) (cos.f64 y))) (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y -3500000000000000326423266511272348352994776123536971637783824548841358699468600314260684095602377369481312966413329162352772979601040272802024586754849657890093891924514251934892255301642051958909935798832596337283778662359786519410352586752) (.f64 z (sin.f64 y)) (if (<=.f64 y -6052837899185947/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 y 112986307451471/2305843009213693952) (fma.f64 z y x) (if (<=.f64 y 9600000000000000037383157733991482505102619382019975854267522710403527554182199703154266184176408228647705632750908211200) (.f64 (cos.f64 y) x) (if (<=.f64 y 519999999999999984024814054874131613477481132868446090246168833440487479354929993962591122310850963336193220502083424121336613878622060544) (.f64 z (sin.f64 y)) (if (<=.f64 y 108000000000000001273148660002011986415150467752120733310562067279316000123387723607261707755472835549237460588701412751867344052198608314182776128452513436542114102220655443183087398557887425288072491023074958966138756018613518336) (.f64 (/.f64 1 (/.f64 1 (cos.f64 y))) x) (.f64 z (sin.f64 y))))))))
(if (<=.f64 y -549999999999999969799661980324112410421049175087643950191189618811433888597105803374359175627998011738536499504992890399717974139913894593093899551377573366576779525789052915525443922282994501039985361304147310701848507852098262851026063649144832) (.f64 z (sin.f64 y)) (if (<=.f64 y -5476377146882523/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 y 1770887431076117/147573952589676412928) (fma.f64 z y x) (if (<=.f64 y 11000000000000000066725478820095151949709469034627961299645755076173637028100320903478043295290517846054855965757558226944) (.f64 (cos.f64 y) x) (if (<=.f64 y 859999999999999929085348422178946585141534602153610083879887101940339533235638385006972445993143701129815008157224567458955898191918137344) (.f64 z (sin.f64 y)) (if (<=.f64 y 304999999999999994817663042407033230440932703816745509625712869409145318364954428014404047123908525536148033754276202364701494044302892839949375567786025284416643629179030887671402089395396902299700932047163750807136718378219077632) (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))))
(if (<=.f64 y -2400000000000000113478377396842070200702590487035684916848903957632646341933110088389331878117840678636803598658852917696618779341712894038944127584772942192275035452925483111073959706689499372633350945583477897511910065942713541328896) (.f64 z (sin.f64 y)) (if (<=.f64 y -5188146770730811/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 y 3246626956972881/73786976294838206464) (+.f64 (.f64 y z) x) (if (<=.f64 y 124999999999999997500433543424275147708600649112126064773581038978846551828428590683098679366249054969347009397634629632) (.f64 (cos.f64 y) x) (if (<=.f64 y 135000000000000008565210740981718764112717371663366577821691581071688466460391349863476372836689112119765748394104059100562621392014540800) (.f64 z (sin.f64 y)) (if (<=.f64 y 37000000000000000236675775623447274182421043949550556651820413490471961815373955504621817434737517295779702862860647922160828606448541924742917798666575338228580485940501365151459607312034496865422476069996181775962192718323515392) (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y -3458764513820541/576460752303423488) (.f64 z (sin.f64 y)) (if (<=.f64 y 160) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 x -7688573379346283/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) x (if (<=.f64 x 309869985370429/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (*.f64 y z) x))
x

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(if (<=.f64 y -19999999999999998421936661664294053151080855387504444745733035393436825233278672005560948283410708288220728162236284648020809571429082630568562515505514583247285006834145935719548240949300738322281106670384019261349564171109391944306795105153030553600) (.f64 z (sin.f64 y)) (if (<=.f64 y -4092871341354307/288230376151711744) (.f64 (cos.f64 y) x) (if (<=.f64 y 3910709743626425/73786976294838206464) (+.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z))) (if (<=.f64 y 85000000000000003317323032006788532090519149869560907038521020311230613419307027823400893412609875032321551318791487488) (.f64 (cos.f64 y) x) (if (<=.f64 y 129999999999999996006203513718532903369370283217111522561542208360121869838732498490647780577712740834048305125520856030334153469655515136) (.f64 z (sin.f64 y)) (if (<=.f64 y 45999999999999999010203735564693651215966145932594689154947835715210917419425103694481480659099778656087302054930024673980755167233277463626559639324387812614710252560412836761393560505985817430873698324557339981079465280143360) (/.f64 1 (/.f64 (/.f64 1 x) (cos.f64 y))) (.f64 z (sin.f64 y))))))))
(if (<=.f64 y -19999999999999998421936661664294053151080855387504444745733035393436825233278672005560948283410708288220728162236284648020809571429082630568562515505514583247285006834145935719548240949300738322281106670384019261349564171109391944306795105153030553600) (.f64 (sin.f64 y) z) (if (<=.f64 y -4092871341354307/288230376151711744) (.f64 x (cos.f64 y)) (if (<=.f64 y 3910709743626425/73786976294838206464) (+.f64 x (+.f64 (.f64 -1/6 (.f64 z (pow.f64 y 3))) (.f64 y z))) (if (<=.f64 y 85000000000000003317323032006788532090519149869560907038521020311230613419307027823400893412609875032321551318791487488) (.f64 x (cos.f64 y)) (if (or (<=.f64 y 129999999999999996006203513718532903369370283217111522561542208360121869838732498490647780577712740834048305125520856030334153469655515136) (not (<=.f64 y 45999999999999999010203735564693651215966145932594689154947835715210917419425103694481480659099778656087302054930024673980755167233277463626559639324387812614710252560412836761393560505985817430873698324557339981079465280143360))) (*.f64 (sin.f64 y) z) (/.f64 1 (/.f64 (/.f64 1 x) (cos.f64 y))))))))
(if (<=.f64 y -269999999999999987108738635301222829047913043941368100666775729106165112956426642090795040541588105451822895646958815761777055691283449668842000678348835041969893403005968000018822577836351365958603286745683362335892392873604147761616257024) (.f64 z (sin.f64 y)) (if (<=.f64 y -5188146770730811/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 y 3246626956972881/1180591620717411303424) (fma.f64 z y x) (if (<=.f64 y 115000000000000003434145399925511914918964835438373331583107028781241637026126401895757975238161150746845631421138075648) (.f64 (cos.f64 y) x) (if (<=.f64 y 2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680) (.f64 z (sin.f64 y)) (if (<=.f64 y 750000000000000034951355381115523176303814357462032646065735343514012085992314724679575784160646784240775482446989117398987946249505173568520466573119482580440572595525487166424615404421291428744844801828670182088266219520) (/.f64 1 (/.f64 (/.f64 1 x) (cos.f64 y))) (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y -269999999999999987108738635301222829047913043941368100666775729106165112956426642090795040541588105451822895646958815761777055691283449668842000678348835041969893403005968000018822577836351365958603286745683362335892392873604147761616257024) (.f64 (sin.f64 y) z) (if (<=.f64 y -5188146770730811/576460752303423488) (.f64 x (cos.f64 y)) (if (<=.f64 y 3246626956972881/1180591620717411303424) (fma.f64 z y x) (if (<=.f64 y 115000000000000003434145399925511914918964835438373331583107028781241637026126401895757975238161150746845631421138075648) (.f64 x (cos.f64 y)) (if (or (<=.f64 y 2000000000000000065683124978409852157974025132719223391024626852517494013797575991088002631255454825367899009568644871157296981268422983680) (not (<=.f64 y 750000000000000034951355381115523176303814357462032646065735343514012085992314724679575784160646784240775482446989117398987946249505173568520466573119482580440572595525487166424615404421291428744844801828670182088266219520))) (.f64 (sin.f64 y) z) (/.f64 1 (/.f64 (/.f64 1 x) (cos.f64 y))))))))
(if (<=.f64 y -3500000000000000326423266511272348352994776123536971637783824548841358699468600314260684095602377369481312966413329162352772979601040272802024586754849657890093891924514251934892255301642051958909935798832596337283778662359786519410352586752) (.f64 z (sin.f64 y)) (if (<=.f64 y -6052837899185947/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 y 112986307451471/2305843009213693952) (fma.f64 z y x) (if (<=.f64 y 9600000000000000037383157733991482505102619382019975854267522710403527554182199703154266184176408228647705632750908211200) (.f64 (cos.f64 y) x) (if (<=.f64 y 519999999999999984024814054874131613477481132868446090246168833440487479354929993962591122310850963336193220502083424121336613878622060544) (.f64 z (sin.f64 y)) (if (<=.f64 y 108000000000000001273148660002011986415150467752120733310562067279316000123387723607261707755472835549237460588701412751867344052198608314182776128452513436542114102220655443183087398557887425288072491023074958966138756018613518336) (.f64 (/.f64 1 (/.f64 1 (cos.f64 y))) x) (.f64 z (sin.f64 y))))))))
(if (<=.f64 y -3500000000000000326423266511272348352994776123536971637783824548841358699468600314260684095602377369481312966413329162352772979601040272802024586754849657890093891924514251934892255301642051958909935798832596337283778662359786519410352586752) (.f64 (sin.f64 y) z) (if (<=.f64 y -6052837899185947/576460752303423488) (.f64 x (cos.f64 y)) (if (<=.f64 y 112986307451471/2305843009213693952) (fma.f64 z y x) (if (<=.f64 y 9600000000000000037383157733991482505102619382019975854267522710403527554182199703154266184176408228647705632750908211200) (.f64 x (cos.f64 y)) (if (or (<=.f64 y 519999999999999984024814054874131613477481132868446090246168833440487479354929993962591122310850963336193220502083424121336613878622060544) (not (<=.f64 y 108000000000000001273148660002011986415150467752120733310562067279316000123387723607261707755472835549237460588701412751867344052198608314182776128452513436542114102220655443183087398557887425288072491023074958966138756018613518336))) (.f64 (sin.f64 y) z) (*.f64 x (/.f64 1 (/.f64 1 (cos.f64 y)))))))))
(if (<=.f64 y -549999999999999969799661980324112410421049175087643950191189618811433888597105803374359175627998011738536499504992890399717974139913894593093899551377573366576779525789052915525443922282994501039985361304147310701848507852098262851026063649144832) (.f64 z (sin.f64 y)) (if (<=.f64 y -5476377146882523/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 y 1770887431076117/147573952589676412928) (fma.f64 z y x) (if (<=.f64 y 11000000000000000066725478820095151949709469034627961299645755076173637028100320903478043295290517846054855965757558226944) (.f64 (cos.f64 y) x) (if (<=.f64 y 859999999999999929085348422178946585141534602153610083879887101940339533235638385006972445993143701129815008157224567458955898191918137344) (.f64 z (sin.f64 y)) (if (<=.f64 y 304999999999999994817663042407033230440932703816745509625712869409145318364954428014404047123908525536148033754276202364701494044302892839949375567786025284416643629179030887671402089395396902299700932047163750807136718378219077632) (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))))
(if (<=.f64 y -549999999999999969799661980324112410421049175087643950191189618811433888597105803374359175627998011738536499504992890399717974139913894593093899551377573366576779525789052915525443922282994501039985361304147310701848507852098262851026063649144832) (.f64 (sin.f64 y) z) (if (<=.f64 y -5476377146882523/576460752303423488) (.f64 x (cos.f64 y)) (if (<=.f64 y 1770887431076117/147573952589676412928) (fma.f64 z y x) (if (<=.f64 y 11000000000000000066725478820095151949709469034627961299645755076173637028100320903478043295290517846054855965757558226944) (.f64 x (cos.f64 y)) (if (or (<=.f64 y 859999999999999929085348422178946585141534602153610083879887101940339533235638385006972445993143701129815008157224567458955898191918137344) (not (<=.f64 y 304999999999999994817663042407033230440932703816745509625712869409145318364954428014404047123908525536148033754276202364701494044302892839949375567786025284416643629179030887671402089395396902299700932047163750807136718378219077632))) (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))
(if (<=.f64 y -549999999999999969799661980324112410421049175087643950191189618811433888597105803374359175627998011738536499504992890399717974139913894593093899551377573366576779525789052915525443922282994501039985361304147310701848507852098262851026063649144832) (.f64 (sin.f64 y) z) (if (<=.f64 y -5476377146882523/576460752303423488) (.f64 x (cos.f64 y)) (if (<=.f64 y 1770887431076117/147573952589676412928) (fma.f64 z y x) (if (or (<=.f64 y 11000000000000000066725478820095151949709469034627961299645755076173637028100320903478043295290517846054855965757558226944) (not (or (<=.f64 y 859999999999999929085348422178946585141534602153610083879887101940339533235638385006972445993143701129815008157224567458955898191918137344) (not (<=.f64 y 304999999999999994817663042407033230440932703816745509625712869409145318364954428014404047123908525536148033754276202364701494044302892839949375567786025284416643629179030887671402089395396902299700932047163750807136718378219077632))))) (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))))
(if (<=.f64 y -549999999999999969799661980324112410421049175087643950191189618811433888597105803374359175627998011738536499504992890399717974139913894593093899551377573366576779525789052915525443922282994501039985361304147310701848507852098262851026063649144832) (.f64 (sin.f64 y) z) (if (<=.f64 y -5476377146882523/576460752303423488) (.f64 x (cos.f64 y)) (if (<=.f64 y 1770887431076117/147573952589676412928) (fma.f64 z y x) (if (or (<=.f64 y 11000000000000000066725478820095151949709469034627961299645755076173637028100320903478043295290517846054855965757558226944) (and (not (<=.f64 y 859999999999999929085348422178946585141534602153610083879887101940339533235638385006972445993143701129815008157224567458955898191918137344)) (<=.f64 y 304999999999999994817663042407033230440932703816745509625712869409145318364954428014404047123908525536148033754276202364701494044302892839949375567786025284416643629179030887671402089395396902299700932047163750807136718378219077632))) (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))))
(if (<=.f64 y -2400000000000000113478377396842070200702590487035684916848903957632646341933110088389331878117840678636803598658852917696618779341712894038944127584772942192275035452925483111073959706689499372633350945583477897511910065942713541328896) (.f64 z (sin.f64 y)) (if (<=.f64 y -5188146770730811/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 y 3246626956972881/73786976294838206464) (+.f64 (.f64 y z) x) (if (<=.f64 y 124999999999999997500433543424275147708600649112126064773581038978846551828428590683098679366249054969347009397634629632) (.f64 (cos.f64 y) x) (if (<=.f64 y 135000000000000008565210740981718764112717371663366577821691581071688466460391349863476372836689112119765748394104059100562621392014540800) (.f64 z (sin.f64 y)) (if (<=.f64 y 37000000000000000236675775623447274182421043949550556651820413490471961815373955504621817434737517295779702862860647922160828606448541924742917798666575338228580485940501365151459607312034496865422476069996181775962192718323515392) (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y -2400000000000000113478377396842070200702590487035684916848903957632646341933110088389331878117840678636803598658852917696618779341712894038944127584772942192275035452925483111073959706689499372633350945583477897511910065942713541328896) (.f64 (sin.f64 y) z) (if (<=.f64 y -5188146770730811/576460752303423488) (.f64 x (cos.f64 y)) (if (<=.f64 y 3246626956972881/73786976294838206464) (+.f64 x (.f64 y z)) (if (<=.f64 y 124999999999999997500433543424275147708600649112126064773581038978846551828428590683098679366249054969347009397634629632) (.f64 x (cos.f64 y)) (if (or (<=.f64 y 135000000000000008565210740981718764112717371663366577821691581071688466460391349863476372836689112119765748394104059100562621392014540800) (not (<=.f64 y 37000000000000000236675775623447274182421043949550556651820413490471961815373955504621817434737517295779702862860647922160828606448541924742917798666575338228580485940501365151459607312034496865422476069996181775962192718323515392))) (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))))
(if (<=.f64 y -2400000000000000113478377396842070200702590487035684916848903957632646341933110088389331878117840678636803598658852917696618779341712894038944127584772942192275035452925483111073959706689499372633350945583477897511910065942713541328896) (.f64 (sin.f64 y) z) (if (<=.f64 y -5188146770730811/576460752303423488) (.f64 x (cos.f64 y)) (if (<=.f64 y 3246626956972881/73786976294838206464) (+.f64 x (.f64 y z)) (if (or (<=.f64 y 124999999999999997500433543424275147708600649112126064773581038978846551828428590683098679366249054969347009397634629632) (not (or (<=.f64 y 135000000000000008565210740981718764112717371663366577821691581071688466460391349863476372836689112119765748394104059100562621392014540800) (not (<=.f64 y 37000000000000000236675775623447274182421043949550556651820413490471961815373955504621817434737517295779702862860647922160828606448541924742917798666575338228580485940501365151459607312034496865422476069996181775962192718323515392))))) (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(if (<=.f64 y -2400000000000000113478377396842070200702590487035684916848903957632646341933110088389331878117840678636803598658852917696618779341712894038944127584772942192275035452925483111073959706689499372633350945583477897511910065942713541328896) (.f64 (sin.f64 y) z) (if (<=.f64 y -5188146770730811/576460752303423488) (.f64 x (cos.f64 y)) (if (<=.f64 y 3246626956972881/73786976294838206464) (+.f64 x (.f64 y z)) (if (or (<=.f64 y 124999999999999997500433543424275147708600649112126064773581038978846551828428590683098679366249054969347009397634629632) (and (not (<=.f64 y 135000000000000008565210740981718764112717371663366577821691581071688466460391349863476372836689112119765748394104059100562621392014540800)) (<=.f64 y 37000000000000000236675775623447274182421043949550556651820413490471961815373955504621817434737517295779702862860647922160828606448541924742917798666575338228580485940501365151459607312034496865422476069996181775962192718323515392))) (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(if (<=.f64 y -3458764513820541/576460752303423488) (.f64 z (sin.f64 y)) (if (<=.f64 y 160) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (or (<=.f64 y -3458764513820541/576460752303423488) (not (<=.f64 y 160))) (.f64 (sin.f64 y) z) (+.f64 x (.f64 y z)))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 x -7688573379346283/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) x (if (<=.f64 x 309869985370429/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (*.f64 y z) x))
x

Compiler

Compiled 357 to 212 computations (40.6% saved)

soundness0.0ms (0%)

end113.0ms (0.9%)

Compiler: Compiled 324 to 143 computations (55.9% saved)