Details

analyze283.0ms (2.4%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.5s (21.1%)

Results

1.1s	2147×	body	1024	valid
962.0ms	5045×	body	256	valid
384.0ms	1060×	body	512	valid
3.0ms	4×	body	2048	valid

Bogosity

preprocess17.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

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)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series10.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite93.0ms (0.8%)

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 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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)))))))

simplify160.0ms (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 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))))) (-.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (.f64 (-.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (.f64 (+.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) x))) (-.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/3)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
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(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))
(fabs.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(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)

series3.0ms (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	x	@	0	(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	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)))

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(fma.f64 x (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)))))))))

simplify111.0ms (0.9%)

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))

eval106.0ms (0.9%)

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

prune87.0ms (0.7%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	290	22	312
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	290	24	314

Error

0.0b

Counts

314 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	1.3b	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)
▶	44.8b	(/.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)))))
	37.8b	(/.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))))))
▶	0.2b	(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	26.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
▶	31.9b	(+.f64 (*.f64 y x) z)
	31.7b	(+.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))
	30.8b	(+.f64 (.f64 x (sin.f64 y)) (+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (*.f64 z (pow.f64 y 4)))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	33.3b	(+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log.f64 (.f64 z (cos.f64 y)))))
▶	25.8b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	30.4b	(.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))
	31.0b	(.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))
	31.2b	(.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))
	28.3b	(.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))))
	39.5b	(*.f64 (sin.f64 y) x)
	23.5b	(*.f64 (cos.f64 y) z)
	28.6b	(.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (/.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))))
	47.4b	(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 5)))
	39.6b	z

Compiler

Compiled 999 to 564 computations (43.5% saved)

localize16.0ms (0.1%)

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))
✓	0.2b	(/.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)

series12.0ms (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	@	0	(/.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))))
1.0ms	x	@	inf	(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
1.0ms	y	@	0	(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))

rewrite169.0ms (1.4%)

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)))))))))

simplify176.0ms (1.5%)

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%)

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
✓	37.4b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (0.7%)

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

Outputs

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	1915
1	450	1863
2	1870	1797
3	6045	1781

Stop Event

1×	node limit

Counts

107 → 95

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
✓	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))

Compiler

Compiled 48 to 14 computations (70.8% saved)

series21.0ms (0.2%)

Counts

3 → 51

Calls

21 calls:

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

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
830×	`swap-sqr`
522×	`sqr-pow`
514×	`pow-sqr`
368×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	295	59
2	3364	59

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

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

simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

810×	`associate-r`
672×	`associate-l`
496×	`associate-+r+`
476×	`*-commutative`
462×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	6973
1	1052	6059
2	3864	5935

Stop Event

1×	node limit

Counts

175 → 211

Calls

Call 1

Inputs
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (pow.f64 z 2) 1/3)
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (.f64 y x) (.f64 (pow.f64 1 1/3) z))
(+.f64 (.f64 y x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (.f64 y x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (pow.f64 1 1/3) z) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 1)
(.f64 1 (cbrt.f64 (.f64 z (cos.f64 y))))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/6)) (.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 z))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 z))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 z))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 z))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 z))))
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(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
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (.f64 (.f64 -1/6 (cbrt.f64 z)) (*.f64 y y)) (cbrt.f64 z))
(fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z))
(fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 z))) (cbrt.f64 z))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (pow.f64 y 4) (.f64 z -1/24))) (+.f64 (.f64 (.f64 -1/6 (cbrt.f64 z)) (*.f64 y y)) (cbrt.f64 z)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 z (.f64 -1/24 (pow.f64 y 4)))) (fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(+.f64 (fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 z))) (cbrt.f64 z)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (pow.f64 y 4)) (.f64 z -1/72)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2))))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (pow.f64 y 6)) (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 (.f64 z -1/24) -1/3)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (pow.f64 y 4) (.f64 z -1/24))) (+.f64 (.f64 (.f64 -1/6 (cbrt.f64 z)) (*.f64 y y)) (cbrt.f64 z))))
(+.f64 (fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 z z)))) (+.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 z 7/2160) (.f64 z 1/72))) (.f64 z (.f64 -1/24 (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 z))) (cbrt.f64 z)) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (+.f64 (.f64 z (.f64 -1/24 (pow.f64 y 4))) (.f64 (pow.f64 y 6) (*.f64 z -23/2160))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 z 2) 1/3)
(cbrt.f64 (*.f64 z z))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))
(+.f64 (cbrt.f64 (.f64 z z)) (.f64 (.f64 -1/3 (cbrt.f64 (.f64 z z))) (*.f64 y y)))
(fma.f64 (.f64 -1/3 (cbrt.f64 (.f64 z z))) (.f64 y y) (cbrt.f64 (.f64 z z)))
(.f64 (+.f64 (.f64 -1/3 (.f64 y y)) 1) (cbrt.f64 (.f64 z z)))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))))
(+.f64 (cbrt.f64 (.f64 z z)) (fma.f64 (pow.f64 y 4) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 (cbrt.f64 (.f64 z z)) 1/36)) (.f64 (.f64 -1/3 (cbrt.f64 (.f64 z z))) (*.f64 y y))))
(+.f64 (cbrt.f64 (.f64 z z)) (fma.f64 (pow.f64 y 4) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 (cbrt.f64 (.f64 z z)) 1/36)) (.f64 (.f64 (.f64 -1/3 (cbrt.f64 (*.f64 z z))) y) y)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 y y)) 1) (cbrt.f64 (.f64 z z))) (.f64 (pow.f64 y 4) (fma.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 z -1/24) (.f64 (cbrt.f64 (*.f64 z z)) 1/36))))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))))
(+.f64 (cbrt.f64 (.f64 z z)) (fma.f64 (pow.f64 y 6) (fma.f64 2/3 (.f64 (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 (.f64 z -1/24) -1/3))) (cbrt.f64 (/.f64 1 z))) (.f64 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) -1/9)) (fma.f64 (pow.f64 y 4) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 (cbrt.f64 (.f64 z z)) 1/36)) (.f64 (.f64 -1/3 (cbrt.f64 (.f64 z z))) (.f64 y y)))))
(+.f64 (cbrt.f64 (.f64 z z)) (fma.f64 (pow.f64 y 6) (fma.f64 2/3 (.f64 (-.f64 (.f64 z 7/2160) (.f64 z 1/72)) (cbrt.f64 (/.f64 1 z))) (.f64 (.f64 z -1/24) (.f64 (cbrt.f64 (/.f64 1 z)) -1/9))) (fma.f64 (pow.f64 y 4) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 (cbrt.f64 (.f64 z z)) 1/36)) (.f64 (.f64 (.f64 -1/3 (cbrt.f64 (*.f64 z z))) y) y))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 y y)) 1) (cbrt.f64 (.f64 z z))) (fma.f64 (pow.f64 y 6) (.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (.f64 (.f64 z -23/2160) 2/3) (.f64 (.f64 z -1/24) -1/9))) (.f64 (pow.f64 y 4) (fma.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 z -1/24) (.f64 (cbrt.f64 (.f64 z z)) 1/36)))))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (.f64 y x) (.f64 (pow.f64 1 1/3) z))
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 y x (fma.f64 (.f64 z -1/2) (.f64 y y) z))
(fma.f64 y x (fma.f64 (.f64 y y) (.f64 z -1/2) z))
(+.f64 (.f64 y x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (pow.f64 1 1/3) z) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 y x (+.f64 (fma.f64 (.f64 z -1/2) (.f64 y y) z) (.f64 -1/6 (.f64 x (pow.f64 y 3)))))
(fma.f64 y x (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z))
(.f64 1 (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) -1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 1 (cbrt.f64 (.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/6)) (.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6)))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6) 4)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 z))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 z))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 z))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 z))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))
(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 z))))
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(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (fma.f64 x (sin.f64 y) (neg.f64 (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (fma.f64 (sin.f64 y) x (*.f64 z (neg.f64 (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 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))))
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1)
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/3)
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))

localize81.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x (sin.f64 y)) 2)
✓	2.1b	(-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))
✓	4.5b	(/.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)))))
✓	8.0b	(/.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)

series75.0ms (0.6%)

Counts

4 → 116

Calls

33 calls:

Time	Variable		Point	Expression
37.0ms	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)))))
7.0ms	y	@	-inf	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))
4.0ms	y	@	0	(-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))
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)))))

rewrite151.0ms (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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 y)))) (+.f64 (.f64 z (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) (-.f64 1 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (/.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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 (.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2) (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2) (.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) -1/2) (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3))) (pow.f64 (fma.f64 x 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z (cos.f64 y))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/4) (.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/4) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) -1/2) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3))) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/4)) (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x (sin.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (sin.f64 y) (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) (.f64 x (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (sin.f64 y))) (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (sin.f64 y)) (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (sin.f64 y)) x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (sin.f64 y)) (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (cbrt.f64 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 x (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)))))))

simplify194.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	811	23422
1	2190	21758

Stop Event

1×	node limit

Counts

370 → 482

Calls

Call 1

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

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

eval625.0ms (5.3%)

Compiler: Compiled 40585 to 13366 computations (67.1% saved)

prune331.0ms (2.8%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1247	17	1264
Fresh	10	7	17
Picked	1	0	1
Done	3	3	6
Total	1261	27	1288

Error

Counts

1288 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	1.3b	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)
	28.0b	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
	1.4b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 3))
▶	39.6b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	23.6b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	1.5b	(/.f64 1 (/.f64 1 (/.f64 (/.f64 -1 (.f64 (cbrt.f64 (/.f64 -1 (fma.f64 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))))))))
▶	39.7b	(/.f64 1 (/.f64 1 z))
	41.5b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
	26.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
	42.9b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	31.9b	(+.f64 (*.f64 y x) z)
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y)))))
▶	0.5b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
	18.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
	30.8b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y y) 1))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	25.7b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
	30.4b	(.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))
▶	0.2b	(.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
	30.7b	(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))))
	34.0b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
	39.5b	(*.f64 (sin.f64 y) x)
	23.5b	(*.f64 (cos.f64 y) z)
	39.6b	z

Compiler

Compiled 905 to 547 computations (39.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
✓	0.4b	(/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
✓	0.4b	(.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
✓	0.6b	(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))

Compiler

Compiled 77 to 10 computations (87% saved)

series32.0ms (0.3%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
2.0ms	x	@	0	(/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
2.0ms	y	@	inf	(/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
2.0ms	x	@	0	(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
2.0ms	y	@	0	(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))

rewrite118.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`associate-*r/`
1124×	`associate-/r*`
1066×	`associate-*l/`
916×	`associate-/l*`
416×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	169
1	278	83
2	3589	83

Stop Event

1×	node limit

Counts

3 → 307

Calls

Call 1

Inputs

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

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

Outputs

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simplify187.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1534×	`associate-/l/`
1062×	`*-commutative`
948×	`associate-/r/`
834×	`associate-*r/`
624×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	886	29273
1	2534	27729

Stop Event

1×	node limit

Counts

383 → 555

Calls

Call 1

Inputs
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/9) (.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (cos.f64 y)) 1/3))
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(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(.f64 (neg.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (/.f64 -1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(.f64 (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2)))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(.f64 (/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/6)) (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/6)))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.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))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))
(.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.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 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2)))) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2))) 2)) (cbrt.f64 (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 (neg.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (sqrt.f64 (neg.f64 (cbrt.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))) 2/3)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))) -1)
(neg.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (neg.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2)) 2))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))

Outputs
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/9) (.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (cos.f64 y)) 1/3))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) 1/18)) (.f64 (sin.f64 y) x)) (cbrt.f64 (.f64 z (cos.f64 y))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 2)) 1/18)) (.f64 (sin.f64 y) x)) (cbrt.f64 (.f64 z (cos.f64 y))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/9) (.f64 (sin.f64 y) x))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 x 2))))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) 1/18)) (.f64 (sin.f64 y) x)) (cbrt.f64 (.f64 z (cos.f64 y)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/18)) (pow.f64 (sin.f64 y) 2)) 1/3) (*.f64 x x)))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 2)) 1/18)) (.f64 (sin.f64 y) x)) (cbrt.f64 (.f64 z (cos.f64 y)))) (.f64 (.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/18) (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/18)) (pow.f64 (sin.f64 y) 2))) (.f64 x x)) (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 2))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/9) (.f64 (sin.f64 y) x))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (.f64 (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))))) (pow.f64 x 3)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 x 2)))))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) 1/18)) (.f64 (sin.f64 y) x)) (cbrt.f64 (.f64 z (cos.f64 y)))) (.f64 -1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))) (.f64 (fma.f64 -4/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/18)) (.f64 (sin.f64 y) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/18)) (pow.f64 (sin.f64 y) 2)) 1/3))) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 3)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/18)) (.f64 (sin.f64 y) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/18)) (pow.f64 (sin.f64 y) 2)) 1/3))) -2/9))) (pow.f64 x 3))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/18)) (pow.f64 (sin.f64 y) 2)) 1/3) (*.f64 x x))))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 2)) 1/18)) (.f64 (sin.f64 y) x)) (cbrt.f64 (.f64 z (cos.f64 y)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 2))) (+.f64 (.f64 (fma.f64 -4/9 (.f64 (sin.f64 y) (.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/18) (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/18)) (pow.f64 (sin.f64 y) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/18)))) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 2))) (pow.f64 (sin.f64 y) 3)) (.f64 (.f64 (sin.f64 y) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/18) (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/18)) (pow.f64 (sin.f64 y) 2)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/18)) -2/9)))) (pow.f64 x 3)) (.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/18) (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/18)) (pow.f64 (sin.f64 y) 2))) (.f64 x x))))))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x))))
(+.f64 (cbrt.f64 z) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (.f64 y x))))
(+.f64 (cbrt.f64 z) (.f64 1/3 (.f64 x (.f64 y (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 y y) (+.f64 (.f64 z -1/2) (.f64 -1/3 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18))))))) (+.f64 (cbrt.f64 z) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (*.f64 y x)))))
(fma.f64 1/3 (.f64 (fma.f64 -1/2 z (.f64 -1/3 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18))))) (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 y y))) (+.f64 (cbrt.f64 z) (.f64 1/3 (.f64 x (.f64 y (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)))))))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/6 x) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 x 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2)))) x))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (-.f64 (.f64 x -1/6) (fma.f64 1/27 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (.f64 z z)))) (.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18)) (.f64 x (+.f64 (.f64 z -1/2) (.f64 -1/3 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)))))))))) (pow.f64 y 3))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 y y) (+.f64 (.f64 z -1/2) (.f64 -1/3 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18))))))) (+.f64 (cbrt.f64 z) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (.f64 y x))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (-.f64 (.f64 x -1/6) (fma.f64 1/27 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (.f64 z z)))) (.f64 2/3 (.f64 x (.f64 (fma.f64 -1/2 z (.f64 -1/3 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18))))))) (pow.f64 y 3))) (fma.f64 1/3 (.f64 (fma.f64 -1/2 z (.f64 -1/3 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18))))) (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 y y))) (+.f64 (cbrt.f64 z) (.f64 1/3 (.f64 x (.f64 y (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18))))))))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (*.f64 (cos.f64 y) z))))
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(.f64 (/.f64 1 (cbrt.f64 (cbrt.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))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 2)))) (/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))))
(/.f64 (/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))))
(.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2)))) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))) (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2)))))
(/.f64 (/.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 2)))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))
(/.f64 (.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 2))) 2))
(.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (sqrt.f64 (neg.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))
(.f64 (sqrt.f64 (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))) (/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2/3)
(/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(/.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2)) 1)
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))) 3)
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))) -1)
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(neg.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (neg.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))
(/.f64 (neg.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2)) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2)) 2))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2)))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2))) 1))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))

localize5.0ms (0%)

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)

series1.0ms (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))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.3b	(/.f64 (/.f64 1 (sin.f64 y)) x)
✓	0.3b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))

Compiler

Compiled 26 to 15 computations (42.3% saved)

series21.0ms (0.2%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
16.0ms	y	@	-inf	(/.f64 1 (sin.f64 y))
1.0ms	y	@	inf	(/.f64 1 (sin.f64 y))
1.0ms	y	@	inf	(/.f64 (/.f64 1 (sin.f64 y)) x)
1.0ms	y	@	-inf	(/.f64 (/.f64 1 (sin.f64 y)) x)
0.0ms	y	@	0	(/.f64 (/.f64 1 (sin.f64 y)) x)

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`associate-*r/`
1202×	`associate-/r*`
928×	`*-commutative`
872×	`associate-*l/`
726×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	208	39
2	2697	39

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1418×	`unswap-sqr`
570×	`distribute-rgt-in`
560×	`distribute-lft-in`
544×	`distribute-lft-neg-out`
506×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	364	4292
1	917	4236
2	3151	4230

Stop Event

1×	node limit

Counts

218 → 228

Calls

Call 1

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

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

localize17.0ms (0.1%)

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))
✓	0.6b	(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)

Compiler

Compiled 43 to 11 computations (74.4% saved)

series30.0ms (0.3%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
5.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)
3.0ms	z	@	0	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`*-commutative`
886×	`unswap-sqr`
646×	`swap-sqr`
478×	`sqr-pow`
456×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	280	50
2	3043	50

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.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 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 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 2) 3))))) (#(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 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) (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 (cbrt.f64 (cbrt.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)))) 2) (pow.f64 (cbrt.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 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 2) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) 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y))))) 2) 3) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 1/6) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 1/6)) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 1/6) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 1/6)) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/4) (sqrt.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)))) 3/4) (sqrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 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simplify183.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1652×	`associate-r`
1544×	`associate-+r+`
1160×	`associate-l`
1030×	`+-commutative`
822×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	516	15307
1	1760	12427
2	6949	12427

Stop Event

1×	node limit

Counts

127 → 189

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))))))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2)))))))) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y)))))))
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(.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))
(.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 1/6) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 1/6)) (.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 1/6) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 3/2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6)) (fabs.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6)) (fabs.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))
(.f64 (.f64 (fabs.f64 (cbrt.f64 (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))) 1/6))) (.f64 (fabs.f64 (cbrt.f64 (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))) 1/6))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) 1))))
(pow.f64 (cbrt.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))) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2/3)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))
(fabs.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))

Outputs
(.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)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))))))
(+.f64 (.f64 z (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18)) (cos.f64 y)) 1)) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (.f64 z (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18)) (cos.f64 y))))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2)))))))) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y)))))))
(fma.f64 (.f64 z z) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) 1/18) (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) 1/18)) (pow.f64 (cos.f64 y) 2)) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) 1/18) (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) 1/18)) (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/18))) -1/9)))) (+.f64 (.f64 z (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18)) (cos.f64 y)) 1)) (*.f64 (sin.f64 y) x)))
(fma.f64 (.f64 z z) (+.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (sin.f64 y) 4)) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) -1/9))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) 1/18)) (pow.f64 (cos.f64 y) 2)) 1/9)) (fma.f64 (sin.f64 y) x (.f64 z (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18)) (cos.f64 y)))))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2)))))))) (+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (cos.f64 y) 3)))))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y)))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (cos.f64 y) 3)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (sin.f64 y) x)))))))))) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))))))))
(fma.f64 (.f64 z z) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) 1/18) (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) 1/18)) (pow.f64 (cos.f64 y) 2)) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) 1/18) (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) 1/18)) (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/18))) -1/9)))) (fma.f64 (pow.f64 z 3) (+.f64 (+.f64 (.f64 -1/3 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))))) (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))))) 1/27))) (.f64 -2/27 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) 1/18)) (.f64 (cos.f64 y) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/18))) -1/9))) (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (fma.f64 -2/3 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))))) (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))))) 1/27)) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 y)) x))) (.f64 -2/27 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (sin.f64 y) x))))))) (+.f64 (.f64 z (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18)) (cos.f64 y)) 1)) (*.f64 (sin.f64 y) x))))
(fma.f64 (.f64 z z) (+.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (sin.f64 y) 4)) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) -1/9))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) 1/18)) (pow.f64 (cos.f64 y) 2)) 1/9)) (fma.f64 (pow.f64 z 3) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)))) -5/27) (fma.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)))) -2/27 (fma.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (fma.f64 (.f64 -2/3 (cbrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y)))) (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)))) -5/27) (.f64 -2/27 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (sin.f64 y) x)))) (.f64 1/3 (.f64 (cos.f64 y) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (sin.f64 y) 4)) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) -1/9)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)) 1/18)))))))) (fma.f64 (sin.f64 y) x (.f64 z (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) 1/18)) (cos.f64 y))))))
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (.f64 y (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)))) (.f64 (pow.f64 1 1/3) z))
(fma.f64 y (.f64 (.f64 x (*.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18))) 1) z)
(fma.f64 y (.f64 (pow.f64 (pow.f64 z 4) 1/18) (.f64 (pow.f64 (pow.f64 z 4) 1/18) x)) z)
(+.f64 (.f64 y (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)))) (+.f64 (.f64 (pow.f64 1 1/3) z) (.f64 (pow.f64 y 2) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/9) (pow.f64 x 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (pow.f64 (.f64 1 z) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 z) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2)))))))))))
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(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4))) 1/9) (sin.f64 y))) (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y)))))) x) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)))
(fma.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) 1/18))) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 1/3 (+.f64 (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/18) (pow.f64 (.f64 z (cos.f64 y)) 1/18))) (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/18) (pow.f64 (.f64 z (cos.f64 y)) 1/18))))))) x (.f64 z (cos.f64 y)))
(fma.f64 x (fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/18) (pow.f64 (.f64 z (cos.f64 y)) 1/18))) 2/3) (.f64 (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) 1/18)) (.f64 (sin.f64 y) 1/3))) (.f64 z (cos.f64 y)))
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(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
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(pow.f64 z 1/3)
(cbrt.f64 z)
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(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
✓	0.3b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
✓	0.4b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 55 to 18 computations (67.3% saved)

series29.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	y	@	0	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
1.0ms	y	@	-inf	(cbrt.f64 (cos.f64 y))
1.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
0.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	218	35
2	2497	35

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

((#(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 (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 (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 (sqrt.f64 (cos.f64 y)) (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 (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 (*.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 (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 log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))))

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1136×	`unswap-sqr`
932×	`associate-+r+`
832×	`associate-+l+`
530×	`fma-def`
520×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	1428
1	321	1398
2	1126	1378
3	4257	1366

Stop Event

1×	node limit

Counts

102 → 102

Calls

Call 1

Inputs
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)
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)
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)
(-.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 (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 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(*.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 (*.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 (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))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 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 -1/6 (.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 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 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 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))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 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 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405)))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 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 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 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))
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 (.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 (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)
(-.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 (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 (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 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(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 (*.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 (cos.f64 y)) z))
(*.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)

eval849.0ms (7.1%)

Compiler: Compiled 58279 to 21114 computations (63.8% saved)

prune606.0ms (5.1%)

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	1527	16	1543
Fresh	8	11	19
Picked	1	0	1
Done	1	6	7
Total	1537	33	1570

Error

Counts

1570 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	1.3b	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)
▶	39.9b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
	24.2b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
	1.4b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 3))
✓	39.6b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	23.6b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	53.6b	(/.f64 1 (/.f64 (/.f64 1 y) x))
	53.5b	(/.f64 1 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) x))
	53.6b	(/.f64 1 (/.f64 1 (*.f64 y x)))
✓	39.7b	(/.f64 1 (/.f64 1 z))
▶	41.5b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
	53.4b	(/.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (.f64 1/6 (/.f64 y x))))
	50.8b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))))
	39.6b	(/.f64 1 (neg.f64 (/.f64 (/.f64 -1 x) (sin.f64 y))))
	47.2b	(-.f64 (+.f64 1 z) 1)
	23.8b	(+.f64 (.f64 y x) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
	42.9b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	31.9b	(+.f64 (*.f64 y x) z)
▶	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
	18.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (pow.f64 (cos.f64 y) 1/3) z)))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
	18.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
	30.8b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (+.f64 (.f64 y (.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/24 1))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	25.7b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
	50.8b	(.f64 (.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x))
	50.9b	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
	34.0b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
	39.5b	(*.f64 (sin.f64 y) x)
	23.5b	(*.f64 (cos.f64 y) z)
▶	53.5b	(*.f64 y x)
	39.6b	z

Compiler

Compiled 800 to 565 computations (29.4% saved)

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) z))
✓	0.3b	(pow.f64 (cos.f64 y) 2)
	0.4b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 63 to 27 computations (57.1% saved)

series5.0ms (0%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) z))
1.0ms	z	@	0	(.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) z))
0.0ms	y	@	inf	(pow.f64 (cos.f64 y) 2)
0.0ms	y	@	inf	(.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) z))
0.0ms	y	@	0	(pow.f64 (cos.f64 y) 2)

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`*-commutative`
918×	`unswap-sqr`
906×	`sqrt-prod`
628×	`swap-sqr`
444×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	267	22
2	3039	22

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(pow.f64 (cos.f64 y) 2)
(.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) z))

Outputs

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-/l*`
1312×	`associate-/r*`
990×	`associate-+r+`
966×	`associate-+l+`
724×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1636
1	469	1530
2	1555	1468
3	4379	1468

Stop Event

1×	node limit

Counts

88 → 106

Calls

Call 1

Inputs
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)))))
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)
(+.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) (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 4)))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (pow.f64 (cos.f64 y) 3)))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4) (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 4) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4) (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3/2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6) (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (cbrt.f64 (cos.f64 y)))
(/.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 (log.f64 (pow.f64 (cos.f64 y) 2)))
(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) 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 (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))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (.f64 z (cbrt.f64 (cos.f64 y))) 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 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(+.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 1/3 (pow.f64 y 4) (.f64 -2/45 (pow.f64 y 6))))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) (fma.f64 -2/45 (pow.f64 y 6) 1)) (*.f64 y y))
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 (.f64 z y) y) z)
(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 (.f64 1/24 (pow.f64 y 4)) z))
(fma.f64 -1/2 (.f64 (.f64 z y) y) (fma.f64 (*.f64 (pow.f64 y 4) 1/24) z z))
(.f64 z (+.f64 (.f64 (*.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)))
(.f64 z (+.f64 (.f64 y (*.f64 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 (*.f64 1/24 (pow.f64 y 4)) z))))
(fma.f64 -1/2 (.f64 (.f64 z y) y) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (fma.f64 (.f64 (pow.f64 y 4) 1/24) z z)))
(fma.f64 z (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 6) -1/720)) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) 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 (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))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) -1)
(pow.f64 (cos.f64 y) 2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y))))
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(+.f64 1/2 (.f64 1 (.f64 1/2 (cos.f64 (+.f64 y y)))))
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(+.f64 1/2 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) 1))
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) 1/2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1)
(pow.f64 (cos.f64 y) 2)
(*.f64 (cos.f64 y) (cos.f64 y))
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 4)))
(pow.f64 (cos.f64 y) 2)
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (pow.f64 (cos.f64 y) 3)))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (sqrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(pow.f64 (cos.f64 y) 2)
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cos.f64 y) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4) (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cos.f64 y) 2)
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (pow.f64 (cos.f64 y) 3)))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (sqrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 4) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4) (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 2)
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 1/2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3/2))
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6) (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6))
(cbrt.f64 (pow.f64 (cos.f64 y) 6))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cos.f64 y) 2)
(.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 10)))
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))))
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))) 2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 1) 2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 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 1/4 (.f64 1/4 (.f64 (cos.f64 (+.f64 y y)) (cos.f64 (+.f64 y y))))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 y y)))))
(/.f64 (+.f64 1/4 (.f64 (.f64 -1/4 (cos.f64 (+.f64 y y))) (cos.f64 (+.f64 y y)))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 y y)))))
(/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) -1/4) (cos.f64 (+.f64 y y)) 1/4) (fma.f64 -1/2 (cos.f64 (+.f64 y y)) 1/2))
(/.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))
(pow.f64 (cos.f64 y) 2)
(/.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 1/8 (.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3))) (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) (-.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) 1/2))))
(/.f64 (fma.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3) 1/8) (fma.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) (fma.f64 1/2 (cos.f64 (+.f64 y y)) -1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3) 1/8) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 (cos.f64 (+.f64 y y)) 1/4 -1/4) 1/4))
(/.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 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)) (log1p.f64 (pow.f64 (cos.f64 y) 2)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 3)) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (pow.f64 (cos.f64 y) 2)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 (cos.f64 y) 2)))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (pow.f64 (exp.f64 2) (log1p.f64 (pow.f64 (cos.f64 y) 2))))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))) -2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (cos.f64 y) 2)
(fabs.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 2))))
(pow.f64 (cos.f64 y) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 6))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6) (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) -1)
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(*.f64 z (cos.f64 y))
(/.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 z (cos.f64 y))
(/.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))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 z (cos.f64 y))) (log1p.f64 (.f64 z (cos.f64 y))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) 3)) (+.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (.f64 z (cos.f64 y))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 z (cos.f64 y))))) (+.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (.f64 z (cos.f64 y)))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 z (cos.f64 y))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 z (cos.f64 y)))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(fabs.f64 (*.f64 (cos.f64 y) z))
(*.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))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (.f64 z (cbrt.f64 (cos.f64 y))) 3)))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))

localize3.0ms (0%)

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

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z))))
✓	0.2b	(/.f64 z (/.f64 x z))
✓	0.3b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
✓	5.0b	(/.f64 y (/.f64 z (/.f64 x z)))

Compiler

Compiled 49 to 17 computations (65.3% saved)

series28.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
1.0ms	y	@	0	(/.f64 y (/.f64 z (/.f64 x z)))
1.0ms	x	@	0	(/.f64 y (/.f64 z (/.f64 x z)))
1.0ms	z	@	0	(/.f64 y (/.f64 z (/.f64 x z)))
1.0ms	y	@	inf	(/.f64 y (/.f64 z (/.f64 x z)))

rewrite114.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`associate-/l/`
818×	`distribute-lft-neg-in`
688×	`distribute-rgt-in`
650×	`distribute-lft-in`
286×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	100
1	274	100
2	4187	100

Stop Event

1×	node limit

Counts

4 → 276

Calls

Call 1

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

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

simplify201.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1048×	`associate-r`
994×	`associate-l`
988×	`associate-/r*`
782×	`*-commutative`
668×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	679	19802
1	2039	18806

Stop Event

1×	node limit

Counts

408 → 429

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
✓	6.8b	(cbrt.f64 (*.f64 (sin.f64 y) x))

Compiler

Compiled 24 to 9 computations (62.5% saved)

series10.0ms (0.1%)

Counts

3 → 20

Calls

18 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	203	37
2	2138	37

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

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

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

858×	`log-prod`
550×	`*-commutative`
532×	`distribute-lft-in`
522×	`distribute-rgt-in`
514×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1325
1	333	1319
2	1300	1297
3	4040	1297
4	7907	1297

Stop Event

1×	node limit

Counts

91 → 81

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.4b	(pow.f64 (cos.f64 y) 3)
✓	37.4b	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))

Compiler

Compiled 53 to 29 computations (45.3% saved)

series6.0ms (0.1%)

Counts

3 → 40

Calls

15 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1930×	`add-sqr-sqrt`
1900×	`*-un-lft-identity`
1784×	`add-cube-cbrt`
1764×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	231	39
2	2575	39

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

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

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

786×	`distribute-lft-neg-in`
776×	`distribute-rgt-neg-in`
758×	`fma-def`
738×	`*-commutative`
712×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	1660
1	412	1626
2	1677	1588
3	4843	1576

Stop Event

1×	node limit

Counts

102 → 117

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)))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(pow.f64 z 3)
(+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (pow.f64 z 3))
(+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (.f64 7/8 (.f64 (pow.f64 y 4) (pow.f64 z 3))) (pow.f64 z 3)))
(+.f64 (.f64 -61/240 (.f64 (pow.f64 y 6) (pow.f64 z 3))) (+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (.f64 7/8 (.f64 (pow.f64 y 4) (pow.f64 z 3))) (pow.f64 z 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 z 3) (pow.f64 (cos.f64 y) 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 (.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 (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 (.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 (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))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(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)
(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 (.f64 3 (log.f64 (*.f64 (cos.f64 y) z))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3))) 1)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) 1/3)
(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))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 3))
(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)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 (.f64 -1/2 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 y (.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (.f64 y (*.f64 -1/2 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 y (.f64 y z)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.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 (cbrt.f64 -1) (cos.f64 y)) z))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cbrt.f64 -1) (neg.f64 (cos.f64 y))))
(.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 (cbrt.f64 -1) (cos.f64 y)) z))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cbrt.f64 -1) (neg.f64 (cos.f64 y))))
(.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 (cbrt.f64 -1) (cos.f64 y)) z))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cbrt.f64 -1) (neg.f64 (cos.f64 y))))
(.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 (cbrt.f64 -1) (cos.f64 y)) z))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cbrt.f64 -1) (neg.f64 (cos.f64 y))))
(.f64 z (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -3/2))
(fma.f64 (*.f64 y y) -3/2 1)
(fma.f64 y (*.f64 y -3/2) 1)
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 7/8 (pow.f64 y 4) (.f64 (.f64 y y) -3/2)))
(+.f64 1 (fma.f64 (.f64 y y) -3/2 (.f64 (pow.f64 y 4) 7/8)))
(fma.f64 (pow.f64 y 4) 7/8 (fma.f64 y (*.f64 y -3/2) 1))
(fma.f64 y (*.f64 y -3/2) (fma.f64 (pow.f64 y 4) 7/8 1))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) (.f64 (.f64 y y) -3/2))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -61/240 (fma.f64 (.f64 y y) -3/2 (.f64 (pow.f64 y 4) 7/8))))
(fma.f64 (pow.f64 y 6) -61/240 (fma.f64 (pow.f64 y 4) 7/8 (fma.f64 y (*.f64 y -3/2) 1)))
(fma.f64 (pow.f64 y 6) -61/240 (fma.f64 y (*.f64 y -3/2) (fma.f64 (pow.f64 y 4) 7/8 1)))
(pow.f64 z 3)
(+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (pow.f64 z 3))
(fma.f64 -3/2 (.f64 (.f64 y y) (pow.f64 z 3)) (pow.f64 z 3))
(.f64 (fma.f64 (.f64 y y) -3/2 1) (pow.f64 z 3))
(.f64 (fma.f64 y (.f64 y -3/2) 1) (pow.f64 z 3))
(+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (.f64 7/8 (.f64 (pow.f64 y 4) (pow.f64 z 3))) (pow.f64 z 3)))
(fma.f64 -3/2 (.f64 (.f64 y y) (pow.f64 z 3)) (fma.f64 7/8 (*.f64 (pow.f64 y 4) (pow.f64 z 3)) (pow.f64 z 3)))
(+.f64 (pow.f64 z 3) (.f64 (pow.f64 z 3) (fma.f64 (.f64 y y) -3/2 (*.f64 (pow.f64 y 4) 7/8))))
(.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 4) 7/8 (fma.f64 y (.f64 y -3/2) 1)))
(.f64 (fma.f64 y (.f64 y -3/2) (fma.f64 (pow.f64 y 4) 7/8 1)) (pow.f64 z 3))
(+.f64 (.f64 -61/240 (.f64 (pow.f64 y 6) (pow.f64 z 3))) (+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (.f64 7/8 (.f64 (pow.f64 y 4) (pow.f64 z 3))) (pow.f64 z 3))))
(fma.f64 -61/240 (.f64 (pow.f64 y 6) (pow.f64 z 3)) (fma.f64 -3/2 (.f64 (.f64 y y) (pow.f64 z 3)) (fma.f64 7/8 (.f64 (pow.f64 y 4) (pow.f64 z 3)) (pow.f64 z 3))))
(fma.f64 -61/240 (.f64 (pow.f64 y 6) (pow.f64 z 3)) (+.f64 (pow.f64 z 3) (.f64 (pow.f64 z 3) (fma.f64 (.f64 y y) -3/2 (.f64 (pow.f64 y 4) 7/8)))))
(+.f64 (pow.f64 z 3) (.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 6) -61/240 (fma.f64 y (.f64 y -3/2) (*.f64 (pow.f64 y 4) 7/8)))))
(.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 6) -61/240 (fma.f64 y (.f64 y -3/2) (fma.f64 (pow.f64 y 4) 7/8 1))))
(*.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 (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 (.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 (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 (.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 (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)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 z (cos.f64 y))
(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 (.f64 3 (log.f64 (*.f64 (cos.f64 y) z))) 1/3))
(*.f64 z (cos.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3))) 1)
(pow.f64 (cos.f64 y) 3)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(pow.f64 (cos.f64 y) 3)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(pow.f64 (cos.f64 y) 3)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(pow.f64 (cos.f64 y) 3)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(pow.f64 (cos.f64 y) 3)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 3))))
(pow.f64 (cos.f64 y) 3)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(pow.f64 (cos.f64 y) 3)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 y))) 1))
(pow.f64 (cos.f64 y) 3)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 2)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) 1/3)
(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)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 3))
(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)

eval368.0ms (3.1%)

Compiler: Compiled 19119 to 8060 computations (57.8% saved)

prune232.0ms (2%)

Pruning

44 alts after pruning (35 fresh and 9 done)

	Pruned	Kept	Total
New	813	14	827
Fresh	1	21	22
Picked	1	0	1
Done	1	9	10
Total	816	44	860

Error

Counts

860 → 44

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	1.3b	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)
✓	39.9b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
	24.2b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
	54.9b	(/.f64 (/.f64 (.f64 z (/.f64 (.f64 z z) x)) z) (-.f64 (/.f64 z x) y))
	1.4b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 3))
	50.9b	(/.f64 1 (/.f64 (/.f64 (.f64 z (-.f64 (/.f64 z x) y)) z) (.f64 z (/.f64 z x))))
✓	39.6b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	23.6b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	53.6b	(/.f64 1 (/.f64 (/.f64 1 y) x))
	53.5b	(/.f64 1 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) x))
	54.9b	(/.f64 1 (/.f64 z (/.f64 (.f64 (.f64 z z) (/.f64 z (neg.f64 x))) (-.f64 (/.f64 (neg.f64 z) x) (neg.f64 y)))))
	54.9b	(/.f64 1 (/.f64 z (/.f64 (.f64 z (/.f64 (.f64 z z) x)) (-.f64 (/.f64 z x) y))))
	54.9b	(/.f64 1 (/.f64 1 (/.f64 (/.f64 (.f64 z (/.f64 (.f64 z z) x)) z) (-.f64 (/.f64 z x) y))))
	53.6b	(/.f64 1 (/.f64 1 (*.f64 y x)))
✓	39.7b	(/.f64 1 (/.f64 1 z))
	43.6b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 (*.f64 z z) x))))
	40.6b	(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 y z) (/.f64 x z))))
	53.4b	(/.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (.f64 1/6 (/.f64 y x))))
	50.8b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))))
	62.3b	(/.f64 1 (*.f64 (/.f64 x z) (/.f64 (neg.f64 y) z)))
	40.6b	(/.f64 1 (.f64 (/.f64 1 z) (-.f64 1 (.f64 y (/.f64 x z)))))
	39.6b	(/.f64 1 (neg.f64 (/.f64 (/.f64 -1 x) (sin.f64 y))))
	62.4b	(/.f64 1 (neg.f64 (.f64 y (/.f64 x (.f64 z z)))))
	47.2b	(-.f64 (+.f64 1 z) 1)
	23.8b	(+.f64 (.f64 y x) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
	42.9b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	42.9b	(+.f64 (.f64 y x) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
✓	31.9b	(+.f64 (*.f64 y x) z)
✓	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
	18.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (pow.f64 (cos.f64 y) 1/3) z)))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
	18.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
	30.8b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (+.f64 (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) 1/24 1))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	50.8b	(.f64 (.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x))
	50.9b	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
	34.0b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
	39.5b	(*.f64 (sin.f64 y) x)
	62.3b	(*.f64 (neg.f64 z) (/.f64 (/.f64 z y) x))
	23.5b	(*.f64 (cos.f64 y) z)
✓	53.5b	(*.f64 y x)
	62.4b	(neg.f64 (/.f64 (/.f64 (*.f64 z z) y) x))
	39.6b	z

Compiler

Compiled 616 to 423 computations (31.3% saved)

regimes159.0ms (1.3%)

Counts

71 → 1

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	z
31.0ms	y
30.0ms	x
29.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 1133 to 435 computations (61.6% saved)

regimes67.0ms (0.6%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
15.0ms	y
14.0ms	x
14.0ms	z

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 324 to 163 computations (49.7% saved)

regimes205.0ms (1.7%)

Counts

27 → 7

Calls

Call 1

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

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

Calls

3 calls:

85.0ms	y
58.0ms	x
54.0ms	z

Results

Error	Segments	Branch
12.1b	5	`x`
11.0b	7	`y`
13.9b	4	`z`

Compiler

Compiled 281 to 143 computations (49.1% saved)

bsearch389.0ms (3.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
124.0ms	1.0338212261758331e+224	9.250390087295698e+226
51.0ms	1.7731117323109002e+172	8.172008791612365e+173
14.0ms	24777.684406561188	67132.74681891574
23.0ms	-0.0004791257421409794	-1.4971640843912227e-8
92.0ms	-3.424656226966807e+127	-6.95840231027797e+126
85.0ms	-3.5175390757119464e+197	-4.4344541731356534e+191

Results

255.0ms	384×	body	1024	valid
91.0ms	96×	body	512	valid
34.0ms	208×	body	256	valid

Compiler

Compiled 779 to 589 computations (24.4% saved)

regimes242.0ms (2%)

Counts

25 → 7

Calls

Call 1

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

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

Calls

3 calls:

113.0ms	y
80.0ms	x
43.0ms	z

Results

Error	Segments	Branch
12.1b	5	`x`
11.0b	7	`y`
13.9b	4	`z`

Compiler

Compiled 264 to 132 computations (50% saved)

bsearch306.0ms (2.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
90.0ms	1.0338212261758331e+224	9.250390087295698e+226
84.0ms	1.7731117323109002e+172	8.172008791612365e+173
15.0ms	24777.684406561188	67132.74681891574
23.0ms	-0.0004791257421409794	-1.4971640843912227e-8
29.0ms	-3.424656226966807e+127	-6.95840231027797e+126
65.0ms	-3.5175390757119464e+197	-4.4344541731356534e+191

Results

233.0ms	384×	body	1024	valid
35.0ms	208×	body	256	valid
28.0ms	96×	body	512	valid

Compiler

Compiled 719 to 529 computations (26.4% saved)

regimes183.0ms (1.5%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

3 calls:

77.0ms	z
54.0ms	x
47.0ms	y

Results

Error	Segments	Branch
18.9b	3	`x`
14.7b	3	`y`
18.3b	3	`z`

Compiler

Compiled 252 to 125 computations (50.4% saved)

bsearch66.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	24777.684406561188	67132.74681891574
50.0ms	-0.0004791257421409794	-1.4971640843912227e-8

Results

63.0ms

208×

body

256

valid

Compiler

Compiled 239 to 169 computations (29.3% saved)

regimes77.0ms (0.7%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	z
11.0ms	x
10.0ms	y

Results

Error	Segments	Branch
31.9b	1	`x`
31.9b	1	`y`
31.9b	1	`z`

Compiler

Compiled 248 to 123 computations (50.4% saved)

regimes27.0ms (0.2%)

Accuracy

Total -26.5b remaining (-74%)

Threshold costs -26.5b (-74%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

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

Calls

3 calls:

11.0ms	z
7.0ms	x
7.0ms	y

Results

Error	Segments	Branch
35.7b	3	`x`
38.6b	3	`y`
37.7b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch114.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	3.394529420507575e+178	2.6700699763284253e+180
83.0ms	-4.17908143337564e+148	-8.10376018249093e+135

Results

52.0ms	170×	body	256	valid
47.0ms	61×	body	1024	valid
12.0ms	41×	body	512	valid

Compiler

Compiled 222 to 166 computations (25.2% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`if-if-or-not`
6×	`*-commutative`
4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	416
1	90	416

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 y -1250000000000000082784391649509127861351847363347711521946839826757733838365068339333797319308885494517453413148807025478041358512938217862192614624688876505065101101521005166768984665670811648) (.f64 (cos.f64 y) z) (if (<=.f64 y -31999999999999997595768371807772225361429467834714830766055231111209414399225376851301231800410164920048961869236977033050849280) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x)) (if (<=.f64 y -4796153459164483/73786976294838206464) (.f64 (cos.f64 y) z) (if (<=.f64 y 25000) (+.f64 (.f64 y x) z) (if (<=.f64 y 25000000000000000350979656394992630445615492642532284023457510736255326137162527027046033310891421711153071440944525476548247319215784922468191943021105422429190151420772352) (.f64 (cos.f64 y) z) (if (<=.f64 y 6600000000000000086687314300515763315377311498160484337463811334059560303581901967848740890091743116467592741689457941353020039480349275782046915650186245424189504526141009185557496556443382422328128798059214748211108137402368) (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))))
(if (<=.f64 y -11500000000000000660309870732100359173255163133151456963521125814314781684158400946220231934006293756598973526283873406658774282222820930933852936495092368243892025004257805955632525052064301056) (.f64 (cos.f64 y) z) (if (<=.f64 y -27000000000000002029711146745991632941728584737515021764038545763659679981545210525942609729639466956563180786049018210820292608) (.f64 (sin.f64 y) x) (if (<=.f64 y -7378697629483821/36893488147419103232) (.f64 (cos.f64 y) z) (if (<=.f64 y 25000) (+.f64 (.f64 y x) z) (if (<=.f64 y 105000000000000000101155024832847104875204909282356949444634485063611287897189921676484703226212760762330971919676096006043376462410125066942008560745314011687792977744232448) (.f64 (cos.f64 y) z) (if (<=.f64 y 4900000000000000323380607284204337893737960345004271145065622947639901488559486839363148561818304311762549806741604630515039859350247304252022025453886190620464904945447306249193852461108646709348265518620459905970414649606144) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))
(if (<=.f64 y -1152921504606847/4611686018427387904) (.f64 (cos.f64 y) z) (if (<=.f64 y 25000) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 x -41999999999999998074065780595363900557877987623248492069493749081461277866505119440819099074807822206779827002365118056347176481520091136) (.f64 y x) (if (<=.f64 x 35000000000000000035768627845441377059942897466111292589102633030846563181335786978638316639512353528344261785902919762434344652472297305247756620664353374847953102364357179736064) z (.f64 y x)))
z

Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (<=.f64 y -1250000000000000082784391649509127861351847363347711521946839826757733838365068339333797319308885494517453413148807025478041358512938217862192614624688876505065101101521005166768984665670811648) (.f64 (cos.f64 y) z) (if (<=.f64 y -31999999999999997595768371807772225361429467834714830766055231111209414399225376851301231800410164920048961869236977033050849280) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x)) (if (<=.f64 y -4796153459164483/73786976294838206464) (.f64 (cos.f64 y) z) (if (<=.f64 y 25000) (+.f64 (.f64 y x) z) (if (<=.f64 y 25000000000000000350979656394992630445615492642532284023457510736255326137162527027046033310891421711153071440944525476548247319215784922468191943021105422429190151420772352) (.f64 (cos.f64 y) z) (if (<=.f64 y 6600000000000000086687314300515763315377311498160484337463811334059560303581901967848740890091743116467592741689457941353020039480349275782046915650186245424189504526141009185557496556443382422328128798059214748211108137402368) (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))))
(if (<=.f64 y -1250000000000000082784391649509127861351847363347711521946839826757733838365068339333797319308885494517453413148807025478041358512938217862192614624688876505065101101521005166768984665670811648) (.f64 z (cos.f64 y)) (if (<=.f64 y -31999999999999997595768371807772225361429467834714830766055231111209414399225376851301231800410164920048961869236977033050849280) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x)) (if (<=.f64 y -4796153459164483/73786976294838206464) (.f64 z (cos.f64 y)) (if (<=.f64 y 25000) (+.f64 z (.f64 x y)) (if (or (<=.f64 y 25000000000000000350979656394992630445615492642532284023457510736255326137162527027046033310891421711153071440944525476548247319215784922468191943021105422429190151420772352) (not (<=.f64 y 6600000000000000086687314300515763315377311498160484337463811334059560303581901967848740890091743116467592741689457941353020039480349275782046915650186245424189504526141009185557496556443382422328128798059214748211108137402368))) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(if (<=.f64 y -11500000000000000660309870732100359173255163133151456963521125814314781684158400946220231934006293756598973526283873406658774282222820930933852936495092368243892025004257805955632525052064301056) (.f64 (cos.f64 y) z) (if (<=.f64 y -27000000000000002029711146745991632941728584737515021764038545763659679981545210525942609729639466956563180786049018210820292608) (.f64 (sin.f64 y) x) (if (<=.f64 y -7378697629483821/36893488147419103232) (.f64 (cos.f64 y) z) (if (<=.f64 y 25000) (+.f64 (.f64 y x) z) (if (<=.f64 y 105000000000000000101155024832847104875204909282356949444634485063611287897189921676484703226212760762330971919676096006043376462410125066942008560745314011687792977744232448) (.f64 (cos.f64 y) z) (if (<=.f64 y 4900000000000000323380607284204337893737960345004271145065622947639901488559486839363148561818304311762549806741604630515039859350247304252022025453886190620464904945447306249193852461108646709348265518620459905970414649606144) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))
(if (<=.f64 y -11500000000000000660309870732100359173255163133151456963521125814314781684158400946220231934006293756598973526283873406658774282222820930933852936495092368243892025004257805955632525052064301056) (.f64 z (cos.f64 y)) (if (<=.f64 y -27000000000000002029711146745991632941728584737515021764038545763659679981545210525942609729639466956563180786049018210820292608) (.f64 x (sin.f64 y)) (if (<=.f64 y -7378697629483821/36893488147419103232) (.f64 z (cos.f64 y)) (if (<=.f64 y 25000) (+.f64 z (.f64 x y)) (if (or (<=.f64 y 105000000000000000101155024832847104875204909282356949444634485063611287897189921676484703226212760762330971919676096006043376462410125066942008560745314011687792977744232448) (not (<=.f64 y 4900000000000000323380607284204337893737960345004271145065622947639901488559486839363148561818304311762549806741604630515039859350247304252022025453886190620464904945447306249193852461108646709348265518620459905970414649606144))) (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
(if (<=.f64 y -1152921504606847/4611686018427387904) (.f64 (cos.f64 y) z) (if (<=.f64 y 25000) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -1152921504606847/4611686018427387904) (not (<=.f64 y 25000))) (.f64 z (cos.f64 y)) (+.f64 z (.f64 x y)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 x -41999999999999998074065780595363900557877987623248492069493749081461277866505119440819099074807822206779827002365118056347176481520091136) (.f64 y x) (if (<=.f64 x 35000000000000000035768627845441377059942897466111292589102633030846563181335786978638316639512353528344261785902919762434344652472297305247756620664353374847953102364357179736064) z (.f64 y x)))
(if (<=.f64 x -41999999999999998074065780595363900557877987623248492069493749081461277866505119440819099074807822206779827002365118056347176481520091136) (.f64 x y) (if (<=.f64 x 35000000000000000035768627845441377059942897466111292589102633030846563181335786978638316639512353528344261785902919762434344652472297305247756620664353374847953102364357179736064) z (.f64 x y)))
z

Compiler

Compiled 184 to 108 computations (41.3% 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)

end70.0ms (0.6%)

Compiler: Compiled 163 to 67 computations (58.9% saved)