Details

analyze257.0ms (2.7%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.3s (24.3%)

Results

1.0s	2078×	body	1024	valid
924.0ms	5168×	body	256	valid
337.0ms	1004×	body	512	valid
7.0ms	6×	body	2048	valid

Bogosity

preprocess22.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize36.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

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

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

simplify128.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	8002
1	874	7546
2	4092	7540

Stop Event

1×	node limit

Counts

186 → 197

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

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

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs
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Outputs

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

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-+r+`
1310×	`associate-+l+`
670×	`fma-def`
646×	`*-commutative`
584×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	3325
1	393	3267
2	1737	3195
3	5608	3195

Stop Event

1×	node limit

Counts

85 → 89

Calls

Call 1

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

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

eval85.0ms (0.9%)

Compiler: Compiled 8339 to 2526 computations (69.7% saved)

prune79.0ms (0.8%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	291	21	312
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	292	22	314

Error

0.0b

Counts

314 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	29.1b	(fma.f64 y x z)
	28.1b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))
▶	42.5b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))
	48.1b	(/.f64 (-.f64 (.f64 x (.f64 (sin.f64 y) (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 z (.f64 (cos.f64 y) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 2))))
	40.6b	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))
	39.7b	(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))))))
▶	0.3b	(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
▶	29.1b	(+.f64 (*.f64 y x) z)
▶	34.7b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	27.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
▶	15.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
	17.9b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	32.2b	(.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) 1/4) (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4))
	32.7b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))))
	2.0b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
	27.8b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 2) (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
	38.4b	(*.f64 (sin.f64 y) x)
	24.8b	(*.f64 (cos.f64 y) z)
	40.3b	z

Compiler

Compiled 964 to 523 computations (45.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 14 computations (68.9% saved)

series8.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite101.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

Outputs

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

simplify157.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

309 → 269

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1972×	`*-un-lft-identity`
1830×	`add-cube-cbrt`
1810×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	187	13
2	2421	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-r`
1134×	`associate-/r*`
822×	`associate-+r+`
614×	`associate-+l+`
600×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1539
1	268	1481
2	956	1475
3	4256	1475

Stop Event

1×	node limit

Counts

73 → 57

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 z (cos.f64 y)))
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series7.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (*.f64 z (cos.f64 y)))

Outputs

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

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1808×	`distribute-lft-in`
1794×	`distribute-rgt-in`
838×	`fma-def`
816×	`unswap-sqr`
608×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	1729
1	364	1535
2	1296	1345
3	4014	1331

Stop Event

1×	node limit

Counts

69 → 91

Calls

Call 1

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

Outputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/16 z) (.f64 1/24 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) z))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (.f64 z 1/16)) z))
(fma.f64 z (.f64 -1/2 (.f64 y y)) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/16 z) (.f64 1/24 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))) z)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (*.f64 z 1/16)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (.f64 -1/4 (.f64 (*.f64 y y) (sqrt.f64 z))))
(.f64 (+.f64 (.f64 (*.f64 -1/4 y) y) 1) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (fma.f64 (.f64 y y) -1/4 1))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 z) (fma.f64 1/2 (.f64 (-.f64 (.f64 z 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (.f64 (*.f64 y y) (sqrt.f64 z)))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 -1/4 y) y) 1) (sqrt.f64 z)) (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (.f64 1/2 (pow.f64 y 4)) (-.f64 (.f64 z 1/24) (.f64 z 1/16)))))
(fma.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (.f64 z -1/48) (.f64 (pow.f64 y 4) 1/2)) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)))
(fma.f64 (fma.f64 (.f64 y y) -1/4 1) (sqrt.f64 z) (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (pow.f64 y 4) (.f64 1/2 (*.f64 z -1/48)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (.f64 -1/4 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))))))
(fma.f64 1/2 (.f64 (pow.f64 y 6) (.f64 (+.f64 (.f64 z -1/720) (.f64 1/4 (-.f64 (.f64 z 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (fma.f64 1/2 (.f64 (-.f64 (.f64 z 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (.f64 (*.f64 y y) (sqrt.f64 z))))))
(+.f64 (fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 z)) (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (.f64 1/2 (pow.f64 y 4)) (-.f64 (.f64 z 1/24) (.f64 z 1/16))))) (fma.f64 1/2 (.f64 (fma.f64 z -1/720 (.f64 (-.f64 (.f64 z 1/24) (.f64 z 1/16)) 1/4)) (.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(fma.f64 1/2 (.f64 (pow.f64 y 6) (.f64 (sqrt.f64 (/.f64 1 z)) (fma.f64 (.f64 z -1/48) 1/4 (.f64 z -1/720)))) (fma.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (.f64 z -1/48) (.f64 (pow.f64 y 4) 1/2)) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1))))
(+.f64 (.f64 (sqrt.f64 z) (fma.f64 (.f64 y y) -1/4 1)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) (+.f64 (.f64 (pow.f64 y 6) (fma.f64 -1/4 (.f64 z 1/48) (.f64 z -1/720))) (.f64 (pow.f64 y 4) (*.f64 z -1/48)))))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (cos.f64 y)) 1)
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))))
(.f64 (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 4))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 z (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (*.f64 z (cos.f64 y)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x (sin.f64 y)) 2)
✓	2.3b	(-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))
✓	4.9b	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))
✓	7.3b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))

Compiler

Compiled 129 to 34 computations (73.6% saved)

series27.0ms (0.3%)

Counts

4 → 116

Calls

33 calls:

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

rewrite124.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (sin.f64 y)) 0) (.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) -1/2) (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) -1/2) (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) 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simplify173.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	811	23422
1	2190	21758

Stop Event

1×	node limit

Counts

370 → 482

Calls

Call 1

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

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

eval342.0ms (3.6%)

Compiler: Compiled 32868 to 10846 computations (67% saved)

prune337.0ms (3.6%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1033	18	1051
Fresh	11	5	16
Picked	1	0	1
Done	2	3	5
Total	1047	26	1073

Error

0.0b

Counts

1073 → 26

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.1b	(fma.f64 y x z)
▶	32.3b	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)
	45.0b	(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) z))))
	38.5b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	24.8b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	38.4b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
	24.8b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
	40.3b	(/.f64 1 (/.f64 1 z))
	41.5b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
	40.8b	(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3))))
	16.3b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	44.3b	(+.f64 (.f64 y x) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
✓	29.1b	(+.f64 (*.f64 y x) z)
	0.8b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	34.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
▶	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
	15.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	27.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	15.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	31.4b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	32.3b	(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 1/4) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 1/4)))
	38.4b	(*.f64 (sin.f64 y) x)
	24.8b	(*.f64 (cos.f64 y) z)
▶	51.1b	(*.f64 y x)
	40.3b	z

Compiler

Compiled 659 to 438 computations (33.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 22 computations (61.4% saved)

series14.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
3.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
2.0ms	z	@	0	(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
1.0ms	y	@	inf	(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	218	35
2	2494	35

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (cos.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))

Outputs

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

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

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

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1136×	`unswap-sqr`
924×	`associate-+r+`
828×	`associate-+l+`
530×	`fma-def`
476×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	1428
1	321	1398
2	1124	1378
3	4235	1366

Stop Event

1×	node limit

Counts

102 → 104

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))

Outputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/3 (.f64 y y)))
(fma.f64 -1/3 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (.f64 y y) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/405 (pow.f64 y 6) (.f64 (.f64 -1/3 y) y)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (.f64 y y) (.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/405 (pow.f64 y 6) (.f64 (.f64 -1/3 y) y))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 (.f64 y y) -1/6)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 (*.f64 y y) -1/6 1))
(fma.f64 y (*.f64 y -1/6) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 (.f64 y y) -1/6))))
(fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 (*.f64 y y) -1/6 1)))
(fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/72 (pow.f64 y 4) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 (.f64 y y) -1/2 1))
(fma.f64 (.f64 y y) (.f64 z -1/2) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/24 1)))
(.f64 z (+.f64 (.f64 (pow.f64 y 4) 1/24) (fma.f64 (*.f64 y y) -1/2 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z)))
(fma.f64 z (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 6) -1/720)) (*.f64 z (fma.f64 (pow.f64 y 4) 1/24 1)))
(.f64 z (+.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 (.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(pow.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/6) 4)
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)

localize3.0ms (0%)

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

localize4.0ms (0%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	0.1b	(*.f64 x (sin.f64 y))
✓	0.3b	(pow.f64 (*.f64 x (sin.f64 y)) 3)
✓	31.9b	(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series6.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`*-commutative`
992×	`unswap-sqr`
614×	`swap-sqr`
442×	`sqr-pow`
428×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	256	41
2	2970	41

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

Outputs

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

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1510×	`associate-r`
1472×	`associate-l`
944×	`associate-+r+`
814×	`associate-+l+`
704×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	515	8847
1	1474	7949
2	6574	7949

Stop Event

1×	node limit

Counts

275 → 288

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) x) (.f64 -1/5040 (pow.f64 x 3)))))))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x))) z)
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x))) z)
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x))) z)
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (sin.f64 y)) 1)
(.f64 (.f64 x (sin.f64 y)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 1 (.f64 x (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 x (sqrt.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sin.f64 y) (sqrt.f64 x)))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 x (cbrt.f64 (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1/6) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (cbrt.f64 x) (.f64 (sin.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (sin.f64 y) (cbrt.f64 x)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (sin.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (sin.f64 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 x (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3/2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3/2))
(.f64 (.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1/6) (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1/6)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 x (sin.f64 y)))
(.f64 (.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/6) (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/6)) (.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/6) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) (cbrt.f64 (.f64 x (sin.f64 y)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (cbrt.f64 (.f64 x (sin.f64 y))))) (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))) 1)
(.f64 x (.f64 (sin.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (sin.f64 y) (.f64 x (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) 1)
(.f64 (.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (.f64 x (sin.f64 y)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 3))
(.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 3))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) (pow.f64 (*.f64 x (sin.f64 y)) 3/2))
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (*.f64 x (sin.f64 y)))
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) 2)) x)
(.f64 (.f64 x (pow.f64 (*.f64 x (sin.f64 y)) 2)) (sin.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (sqrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (cbrt.f64 (.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) 3) (*.f64 x (sin.f64 y)))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (*.f64 x (sin.f64 y)) 3))
(.f64 (.f64 (.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/6) (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/6)) (.f64 x (sin.f64 y))) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/6) (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/6)) (*.f64 x (sin.f64 y))))
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/4) (sqrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2))) (.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/4) (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2))))
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(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 z 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z (-.f64 z (.f64 x (sin.f64 y))))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 6) (.f64 (pow.f64 z 3) (-.f64 (pow.f64 z 3) (pow.f64 (.f64 x (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) 1) (fma.f64 x (sin.f64 y) (neg.f64 z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (sqrt.f64 (fma.f64 x (sin.f64 y) (neg.f64 z)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (neg.f64 z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (neg.f64 z))) (cbrt.f64 (fma.f64 x (sin.f64 y) (neg.f64 z))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (neg.f64 z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (sin.f64 y))))) (-.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 z)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z (-.f64 z (.f64 x (sin.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z (-.f64 z (.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z (-.f64 z (*.f64 x (sin.f64 y)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z (-.f64 z (.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z (-.f64 z (.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z (-.f64 z (*.f64 x (sin.f64 y)))))))
(pow.f64 (fma.f64 x (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (neg.f64 (fma.f64 x (sin.f64 y) (neg.f64 z)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z (-.f64 z (.f64 x (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) z)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z)))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) z)))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(fma.f64 1 (*.f64 x (sin.f64 y)) z)
(fma.f64 1 z (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y))) z)

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)
	0.1b	(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)

Compiler

Compiled 46 to 15 computations (67.4% saved)

series88.0ms (0.9%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
33.0ms	y	@	inf	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)
18.0ms	y	@	-inf	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)
6.0ms	x	@	-inf	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)
5.0ms	z	@	inf	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)
5.0ms	x	@	inf	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 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simplify206.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	777	22878
1	2769	22870

Stop Event

1×	node limit

Counts

156 → 283

Calls

Call 1

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

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

eval797.0ms (8.4%)

Compiler: Compiled 34739 to 17178 computations (50.6% saved)

prune320.0ms (3.4%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	874	4	878
Fresh	2	16	18
Picked	1	0	1
Done	2	5	7
Total	879	25	904

Error

Counts

904 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.1b	(fma.f64 y x z)
	45.5b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2)
	50.1b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y))) -2)
	38.5b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	24.8b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	38.4b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
▶	24.8b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
▶	40.3b	(/.f64 1 (/.f64 1 z))
	41.5b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
	40.8b	(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3))))
▶	16.3b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	44.3b	(+.f64 (.f64 y x) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
✓	29.1b	(+.f64 (*.f64 y x) z)
	0.8b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	34.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	15.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
▶	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	27.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3)))
✓	15.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
	32.3b	(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 1/4) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 1/4)))
	38.4b	(*.f64 (sin.f64 y) x)
	24.8b	(*.f64 (cos.f64 y) z)
✓	51.1b	(*.f64 y x)
	40.3b	z

Compiler

Compiled 584 to 404 computations (30.8% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 61 to 28 computations (54.1% saved)

series28.0ms (0.3%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	y	@	0	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
0.0ms	y	@	0	(pow.f64 (cos.f64 y) 2)
0.0ms	y	@	0	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`*-commutative`
926×	`cbrt-prod`
850×	`sqrt-prod`
758×	`unswap-sqr`
594×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	234	37
2	2716	37

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1 (*.f64 1/2 (cos.f64 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (+.f64 y 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 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(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)) (pow.f64 (cos.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cos.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3/2) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 2) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.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 0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 y) 1/6) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (pow.f64 (cos.f64 y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) 3) (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) (*.f64 1/2 (cos.f64 (+.f64 y y))))) (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) (*.f64 1/2 (cos.f64 (+.f64 y y)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (cos.f64 y) 2))))) (#(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 (cos.f64 y) 6))))) (#(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 log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))))))

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

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1118×	`associate-+r+`
1086×	`associate-+l+`
930×	`fma-def`
806×	`associate-/r/`
540×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	3212
1	678	3080
2	2294	3004
3	5753	3004

Stop Event

1×	node limit

Counts

140 → 168

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
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 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 3))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1))))
(pow.f64 (cos.f64 y) 2/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 6)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/2)
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/6)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(fabs.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) -1)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y))))
(+.f64 1/2 (.f64 1 (.f64 1/2 (cos.f64 (+.f64 y y)))))
(+.f64 1/2 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) 1))
(+.f64 (*.f64 1/2 (cos.f64 (+.f64 y 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 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 3))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 3/2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (sqrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 2) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 1/6) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (pow.f64 (cos.f64 y) 1/6) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 3) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) 3) (pow.f64 (cos.f64 y) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 1) 2)
(/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) (.f64 1/2 (cos.f64 (+.f64 y y))))) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) 3)) (+.f64 1/4 (-.f64 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) (.f64 1/2 (cos.f64 (+.f64 y y)))) (.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))) -2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(fabs.f64 (pow.f64 (cos.f64 y) 2))
(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 (cos.f64 y) 6))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) 1))))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(fabs.f64 (*.f64 (cos.f64 y) z))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))

Outputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/3 (.f64 y y)))
(fma.f64 -1/3 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (.f64 y y) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/405 (pow.f64 y 6) (.f64 (.f64 -1/3 y) y)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (.f64 y y) (.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/405 (pow.f64 y 6) (.f64 (.f64 -1/3 y) y))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (.f64 1/3 (pow.f64 y 4)))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) 1) (*.f64 y y))
(+.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 (fma.f64 -1 (.f64 y y) 1) (fma.f64 -2/45 (pow.f64 y 6) (.f64 1/3 (pow.f64 y 4))))
(+.f64 (-.f64 1 (.f64 y y)) (fma.f64 (pow.f64 y 6) -2/45 (.f64 1/3 (pow.f64 y 4))))
(-.f64 (fma.f64 (pow.f64 y 6) -2/45 (fma.f64 1/3 (pow.f64 y 4) 1)) (*.f64 y y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(fma.f64 z (.f64 (.f64 y y) -1/2) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (+.f64 (fma.f64 (.f64 y y) -1/2 1) (*.f64 (pow.f64 y 4) 1/24)))
(.f64 z (+.f64 (.f64 (*.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z)))
(fma.f64 z (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 6) -1/720)) (*.f64 (fma.f64 (pow.f64 y 4) 1/24 1) z))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) -1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cos.f64 y) 1/6) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (sqrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
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(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*r/`
1178×	`associate-/r*`
952×	`associate-*l/`
916×	`associate-/l*`
850×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	273
1	241	231
2	805	223
3	3088	223

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 12 computations (53.8% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite85.0ms (0.9%)

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

Outputs

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

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

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

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1436×	`associate-*r/`
1282×	`unswap-sqr`
1184×	`associate-/r*`
1002×	`associate-*l/`
918×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	2401
1	404	2365
2	1640	2353

Stop Event

1×	node limit

Counts

145 → 103

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 12 computations (64.7% saved)

series16.0ms (0.2%)

Counts

3 → 40

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
1.0ms	y	@	inf	(cbrt.f64 (*.f64 x (sin.f64 y)))
1.0ms	y	@	-inf	(cbrt.f64 (*.f64 x (sin.f64 y)))
1.0ms	z	@	0	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)

rewrite123.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`*-commutative`
938×	`unswap-sqr`
614×	`swap-sqr`
444×	`sqr-pow`
428×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	252	39
2	2948	39

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

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

Outputs

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simplify167.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1580×	`associate-*r/`
1324×	`associate-*l/`
656×	`associate-r`
634×	`associate-l`
536×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	405	8192
1	1037	7176
2	4138	7176

Stop Event

1×	node limit

Counts

210 → 257

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (*.f64 (cos.f64 y) z) 3)
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 (cos.f64 y) z)
✓	41.4b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1150×	`fma-def`
898×	`distribute-lft-out`
894×	`*-commutative`
734×	`distribute-lft-neg-in`
724×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	1915
1	448	1863
2	1858	1797
3	5964	1781

Stop Event

1×	node limit

Counts

107 → 93

Calls

Call 1

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

Outputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))))
(pow.f64 z 3)
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3))
(fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3))
(.f64 (pow.f64 z 3) (+.f64 1 (.f64 (*.f64 y y) -3/2)))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))
(+.f64 (fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3)) (.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (.f64 z (.f64 (.f64 z z) 1/3))))))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (fma.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) 13/24)) (pow.f64 z 3)))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 z 3) 7/8) (pow.f64 z 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (.f64 (pow.f64 z 3) (+.f64 1 (.f64 (.f64 y y) -3/2))))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (.f64 -1/720 (pow.f64 z 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z)) (.f64 -1/24 (pow.f64 z 3)))))) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))))
(+.f64 (fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3)) (fma.f64 (pow.f64 y 6) (fma.f64 (.f64 (.f64 z z) -2/45) z (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (.f64 z (.f64 (.f64 z z) 1/3)) (.f64 (pow.f64 z 3) -1/24)))) (.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (.f64 z (.f64 (.f64 z z) 1/3)))))))
(+.f64 (fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)) (fma.f64 (pow.f64 y 6) (+.f64 (.f64 (pow.f64 z 3) -2/45) (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) -1/24)))) (.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) 13/24)))))
(fma.f64 y (.f64 y (.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 (pow.f64 z 3) -2/45 (fma.f64 -1/2 (.f64 (pow.f64 z 3) 1/3) (*.f64 (pow.f64 z 3) -31/720))) (pow.f64 z 3))))
(fma.f64 y (.f64 y (.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (fma.f64 (pow.f64 y 6) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 3) 1/3)) (.f64 (pow.f64 z 3) -7/80)) (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 1/3))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2)))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(*.f64 z (cos.f64 y))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 y) z))) 1/3))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (cos.f64 y) (.f64 z (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 z (.f64 (cos.f64 y) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 2))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 1 (pow.f64 (.f64 (cos.f64 y) z) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (*.f64 (cos.f64 y) z) 3/2))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (cos.f64 y)) z)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z) (cos.f64 y))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) 1) (.f64 (cos.f64 y) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (sqrt.f64 (.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2)) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) 3) (*.f64 (cos.f64 y) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 6))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 (cos.f64 y) z))))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 y) z))) 1))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)

eval325.0ms (3.4%)

Compiler: Compiled 15438 to 6603 computations (57.2% saved)

prune247.0ms (2.6%)

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	767	9	776
Fresh	4	11	15
Picked	1	0	1
Done	1	8	9
Total	773	28	801

Error

Counts

801 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.1b	(fma.f64 y x z)
	45.5b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))) -2)
	50.1b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y))) -2)
	45.5b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
	38.5b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	24.8b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	24.8b	(/.f64 1 (/.f64 1 (/.f64 (cos.f64 y) (/.f64 1 z))))
	24.9b	(/.f64 1 (/.f64 1 (/.f64 z (/.f64 1 (cos.f64 y)))))
	38.4b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
✓	24.8b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
✓	40.3b	(/.f64 1 (/.f64 1 z))
	41.5b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
	24.9b	(/.f64 1 (*.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 z)))
	50.0b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 3)))
	45.6b	(-.f64 (+.f64 1 z) 1)
✓	16.3b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
✓	29.1b	(+.f64 (*.f64 y x) z)
	15.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	15.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
	24.8b	(*.f64 (/.f64 1 (/.f64 1 (cos.f64 y))) z)
	46.7b	(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
	34.2b	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
	32.3b	(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 1/4) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 1/4)))
	38.4b	(*.f64 (sin.f64 y) x)
	24.8b	(*.f64 (cos.f64 y) z)
✓	51.1b	(*.f64 y x)
	40.3b	z

Compiler

Compiled 320 to 230 computations (28.1% saved)

regimes129.0ms (1.4%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	x
25.0ms	z
25.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
24.0ms	y

Results

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

Compiler

Compiled 806 to 303 computations (62.4% saved)

regimes49.0ms (0.5%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 171 to 97 computations (43.3% saved)

regimes142.0ms (1.5%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

68.0ms	y
44.0ms	x
26.0ms	z

Results

Error	Segments	Branch
7.9b	5	`x`
8.4b	7	`y`
6.3b	3	`z`

Compiler

Compiled 135 to 81 computations (40% saved)

bsearch74.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	4.0940897226948764e+82	9.944066221376785e+95
33.0ms	-3.85460628888265e+86	-2.1215738179811982e+82

Results

32.0ms	185×	body	256	valid
29.0ms	69×	body	1024	valid
10.0ms	34×	body	512	valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes76.0ms (0.8%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	y
26.0ms	z
16.0ms	x

Results

Error	Segments	Branch
14.5b	3	`x`
10.1b	5	`y`
9.9b	5	`z`

Compiler

Compiled 59 to 35 computations (40.7% saved)

bsearch156.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	6.035368815040802e-85	6.007570233369696e-83
24.0ms	3.5577663693982265e-118	1.4370915958671683e-117
64.0ms	4.7404875841715163e-144	6.369925936921321e-142
38.0ms	-2.191359983193012e-102	-6.522731742869359e-105

Results

82.0ms	279×	body	256	valid
53.0ms	115×	body	1024	valid
16.0ms	54×	body	512	valid

Compiler

Compiled 466 to 349 computations (25.1% saved)

regimes76.0ms (0.8%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	x
21.0ms	y
18.0ms	z

Results

Error	Segments	Branch
18.0b	3	`x`
13.1b	3	`y`
17.1b	3	`z`

Compiler

Compiled 51 to 32 computations (37.3% saved)

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	8.254403469554607e-7	0.00027581757153996155
20.0ms	-0.002473594736264738	-9.938441252578921e-6

Results

42.0ms

240×

body

256

valid

Compiler

Compiled 273 to 193 computations (29.3% saved)

regimes29.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
4.0ms	z
4.0ms	y

Results

Error	Segments	Branch
29.1b	1	`x`
29.1b	1	`y`
29.1b	1	`z`

Compiler

Compiled 47 to 30 computations (36.2% saved)

regimes55.0ms (0.6%)

Accuracy

Total -28.4b remaining (-83.6%)

Threshold costs -28.4b (-83.6%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

37.0ms	y
10.0ms	z
8.0ms	x

Results

Error	Segments	Branch
35.2b	3	`x`
38.0b	5	`y`
33.9b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch134.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	4.2012913012901855e-51	6.639787699510594e-44
60.0ms	-2.191359983193012e-102	-6.522731742869359e-105

Results

64.0ms	156×	body	256	valid
58.0ms	83×	body	1024	valid
9.0ms	33×	body	512	valid

Compiler

Compiled 222 to 166 computations (25.2% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	280
1	75	276
2	78	272
3	84	268
4	88	268
5	92	268
6	93	268
7	94	268

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -5999999999999999915240512714285143499951361370262294044393940418759114306443783700480) (.f64 (cos.f64 y) z) (if (<=.f64 z 220000000000000001672761769067385778428024144180170411692245963411188611778847181369245696) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 z -2647814816397709/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (.f64 (cos.f64 y) z) (if (<=.f64 z 6590205753725385/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 (sin.f64 y) x) (if (<=.f64 z 4088467824162789/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (.f64 (cos.f64 y) z) (if (<=.f64 z 1640438043587259/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y -7839866231326559/9223372036854775808) (.f64 (cos.f64 y) z) (if (<=.f64 y 2176715800697727/18446744073709551616) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 z -5648671608315113/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) z (if (<=.f64 z 7371860416799003/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 y x) z))
z

Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -5999999999999999915240512714285143499951361370262294044393940418759114306443783700480) (.f64 (cos.f64 y) z) (if (<=.f64 z 220000000000000001672761769067385778428024144180170411692245963411188611778847181369245696) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 z -5999999999999999915240512714285143499951361370262294044393940418759114306443783700480) (not (<=.f64 z 220000000000000001672761769067385778428024144180170411692245963411188611778847181369245696))) (.f64 z (cos.f64 y)) (+.f64 z (.f64 x (sin.f64 y))))
(if (<=.f64 z -2647814816397709/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (.f64 (cos.f64 y) z) (if (<=.f64 z 6590205753725385/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 (sin.f64 y) x) (if (<=.f64 z 4088467824162789/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (.f64 (cos.f64 y) z) (if (<=.f64 z 1640438043587259/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z -2647814816397709/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (.f64 z (cos.f64 y)) (if (<=.f64 z 6590205753725385/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 x (sin.f64 y)) (if (or (<=.f64 z 4088467824162789/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (not (<=.f64 z 1640438043587259/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432))) (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))
(if (<=.f64 z -2647814816397709/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (.f64 z (cos.f64 y)) (if (or (<=.f64 z 6590205753725385/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (not (or (<=.f64 z 4088467824162789/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (not (<=.f64 z 1640438043587259/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432))))) (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(if (or (<=.f64 z -2647814816397709/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (not (or (<=.f64 z 6590205753725385/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (not (or (<=.f64 z 4088467824162789/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (not (<=.f64 z 1640438043587259/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432))))))) (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (or (<=.f64 z -2647814816397709/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (not (or (<=.f64 z 6590205753725385/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (and (not (<=.f64 z 4088467824162789/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104)) (<=.f64 z 1640438043587259/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432))))) (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (<=.f64 y -7839866231326559/9223372036854775808) (.f64 (cos.f64 y) z) (if (<=.f64 y 2176715800697727/18446744073709551616) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -7839866231326559/9223372036854775808) (not (<=.f64 y 2176715800697727/18446744073709551616))) (.f64 z (cos.f64 y)) (+.f64 z (.f64 x y)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 z -5648671608315113/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) z (if (<=.f64 z 7371860416799003/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 y x) z))
(if (<=.f64 z -5648671608315113/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) z (if (<=.f64 z 7371860416799003/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 x y) z))
z

Compiler

Compiled 123 to 83 computations (32.5% saved)

soundness12.0ms (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

Compiler

Compiled 20 to 9 computations (55% saved)

end87.0ms (0.9%)

Compiler: Compiled 102 to 46 computations (54.9% saved)